Compound Interest

Time bar (total: 9.2s)

start0.0ms (0%)

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

analyze271.0ms (2.9%)

Memory
5.9MiB live, 247.6MiB allocated; 67ms 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)

sample5.4s (58.6%)

Memory
-58.4MiB live, 6 480.0MiB allocated; 2.2s collecting garbage
Samples
2.8s4 659×1valid
1.6s1 580×2valid
203.0ms1 958×0valid
162.0ms2 007×0invalid
67.0ms59×3valid
Precisions
Click to see histograms. Total time spent on operations: 4.2s
ival-pow: 3.0s (70.9% of total)
ival-div: 402.0ms (9.6% of total)
adjust: 398.0ms (9.6% of total)
ival-sub: 142.0ms (3.4% of total)
ival-mult: 130.0ms (3.1% of total)
ival-add: 124.0ms (3% of total)
exact: 13.0ms (0.3% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain312.0ms (3.4%)

Memory
-10.9MiB live, 234.5MiB allocated; 20ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1710-0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
7067(3.8249224715181565e-16 2.3060824704889563e+235)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
400-1(-1.369032536697808e-202 1.5062451033627696e+108)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
20-2(-1.5202521394953187e-63 -1.760669222181949e-193)(*.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))cancellation1710
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1210
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u390
(/.f64 i n)underflow39
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue160
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow39
(/.f64 i n)overflow16
(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow16
Confusion
Predicted +Predicted -
+1890
-3235
Precision
0.8552036199095022
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18900
-32035
Precision?
0.8552036199095022
Recall?
1.0
Freqs
test
numberfreq
035
1134
248
339
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
123.0ms288×1valid
75.0ms142×2valid
7.0ms78×0valid
7.0ms3valid
Compiler

Compiled 131 to 34 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-pow: 101.0ms (57.4% of total)
ival-sub: 27.0ms (15.4% of total)
adjust: 18.0ms (10.2% of total)
ival-div: 17.0ms (9.7% of total)
ival-add: 6.0ms (3.4% of total)
ival-mult: 6.0ms (3.4% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess178.0ms (1.9%)

Memory
5.0MiB live, 143.5MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

series24.0ms (0.3%)

Memory
22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Counts
10 → 97
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)
i
n
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 1))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))))
#s(approx (+ 1 (/ i n)) #s(hole binary64 1))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (+ 1 (/ i n))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx i #s(hole binary64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (/ i n)))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (* i (+ (/ 1 i) (/ 1 n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (/ (+ i n) n)))
#s(approx n #s(hole binary64 n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
Calls

6 calls:

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

rewrite191.0ms (2.1%)

Memory
-14.7MiB live, 132.0MiB allocated; 8ms 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)))

eval20.0ms (0.2%)

Memory
-28.6MiB live, 17.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 5 640 to 838 computations (85.1% saved)

prune16.0ms (0.2%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New11820138
Fresh000
Picked101
Done000
Total11920139
Accuracy
100.0%
Counts
139 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
76.7%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
54.0%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))))) (/.f64 i n)))
41.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
18.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
34.6%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
36.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
12.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
58.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
34.3%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
77.0%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
48.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
48.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
49.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
71.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
11.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
42.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
48.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 n #s(literal 100 binary64))))
66.7%
#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))
15.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) n (*.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i)))) i)))
Compiler

Compiled 1 110 to 710 computations (36% saved)

series201.0ms (2.2%)

Memory
24.3MiB live, 122.6MiB allocated; 28ms collecting garbage
Counts
40 → 290
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
#s(literal 100 binary64)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 n i)
(-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64))
(pow.f64 n #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/3 binary64)
#s(literal 1/6 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.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)
Outputs
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 n))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 1))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ i n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx i #s(hole binary64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
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#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (/ 1/3 (pow n 2))))
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#s(approx (pow n -2) #s(hole binary64 (/ 1 (pow n 2))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 -1/2))
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#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (+ 1/2 (* 1/6 i)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (* 1/6 i))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 1/6))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (- 1/6 (* 1/2 (/ 1 n)))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (- (+ 1/6 (/ 1/3 (pow n 2))) (* 1/2 (/ 1 n)))))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 (+ 1/6 (* 1/3 (/ 1 (pow n 2))))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* 1/2 n)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* n (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (* (- (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)))))
#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 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* -1/6 i) 1/2)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* -1/2 i) 1/2) n)) (* -1/6 i)) 1/2)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2) n)) (* -1/6 i)) 1/2)))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (+ 1/6 (* -1 (/ (- 1/2 (* 1/3 (/ 1 n))) n)))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))))
#s(approx (* (- (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))))))
Calls

6 calls:

TimeVariablePointExpression
67.0ms
n
@0
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (+ (* (pow n -2) 1/3) 1/6) (pow n -2) -2 1/3 1/6 (* (- 1/2 (/ 1/2 n)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (- (log i) (log n)) n) (- (log i) (log n)) (log i) (log n))
56.0ms
i
@0
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (+ (* (pow n -2) 1/3) 1/6) (pow n -2) -2 1/3 1/6 (* (- 1/2 (/ 1/2 n)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (- (log i) (log n)) n) (- (log i) (log n)) (log i) (log n))
22.0ms
i
@-inf
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (+ (* (pow n -2) 1/3) 1/6) (pow n -2) -2 1/3 1/6 (* (- 1/2 (/ 1/2 n)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (- (log i) (log n)) n) (- (log i) (log n)) (log i) (log n))
16.0ms
n
@-inf
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (+ (* (pow n -2) 1/3) 1/6) (pow n -2) -2 1/3 1/6 (* (- 1/2 (/ 1/2 n)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (- (log i) (log n)) n) (- (log i) (log n)) (log i) (log n))
16.0ms
i
@inf
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (+ (* (pow n -2) 1/3) 1/6) (pow n -2) -2 1/3 1/6 (* (- 1/2 (/ 1/2 n)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (- (log i) (log n)) n) (- (log i) (log n)) (log i) (log n))

rewrite247.0ms (2.7%)

Memory
-42.6MiB live, 98.5MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123913624
0128912340
1761112338
0911311708
Stop Event
iter limit
node limit
iter limit
Counts
330 → 429
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)
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(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (* n (+ (log i) (* -1 (log n)))) i)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
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#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (* -1 (log n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (/ n i)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
#s(approx n #s(hole binary64 n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#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))))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* -1/2 (/ (pow i 2) n))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (/ (+ (* -1/2 (pow i 2)) (* i (* n (+ 1 (* 1/2 i))))) n)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (* -1/2 (/ i n))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* 1/3 (/ (pow i 2) n))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) n)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* 1/3 (/ i n))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* 1/3 i) (* n (- (* -1/2 i) 1/2))) n)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* 1/3 i) (* n (- (+ (* -1/2 i) (* n (+ 1/2 (* 1/6 i)))) 1/2))) n)))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (/ 1/3 (pow n 2))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/3 (* -1/2 n)) (pow n 2))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/3 (* n (- (* 1/6 n) 1/2))) (pow n 2))))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 (/ 1/3 (pow n 2))))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 (/ (+ 1/3 (* 1/6 (pow n 2))) (pow n 2))))
#s(approx (pow n -2) #s(hole binary64 (/ 1 (pow n 2))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 -1/2))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (- (* 1/2 n) 1/2)))
#s(approx (log n) #s(hole binary64 (log n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
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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 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (+ 1/2 (* 1/6 i)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (* 1/6 i))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 1/6))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (- 1/6 (* 1/2 (/ 1 n)))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (- (+ 1/6 (/ 1/3 (pow n 2))) (* 1/2 (/ 1 n)))))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 (+ 1/6 (* 1/3 (/ 1 (pow n 2))))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* 1/2 n)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* n (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (* (- (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)))))
#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 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* -1/6 i) 1/2)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* -1/2 i) 1/2) n)) (* -1/6 i)) 1/2)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2) n)) (* -1/6 i)) 1/2)))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (+ 1/6 (* -1 (/ (- 1/2 (* 1/3 (/ 1 n))) n)))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))))
#s(approx (* (- (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))))))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
#s(literal 100 binary64)
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(*.f64 n (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i)
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 (/.f64 i n)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))
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(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
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(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)))
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(log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
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(log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)))
(/.f64 (neg.f64 i) (neg.f64 n))
(/.f64 i n)
i
n
(*.f64 #s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) n))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) n)
(*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) i) n)
(/.f64 (neg.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (neg.f64 (/.f64 i n)))
(/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
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(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 1 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 1 binary64))
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(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(+.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 (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 #s(literal -1/2 binary64) (neg.f64 n))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1 binary64)
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) n)
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#s(approx (- (log i) (log n)) (log.f64 (/.f64 i n)))
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#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (log.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (/.f64 n i))))
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#s(approx (log i) (neg.f64 (neg.f64 (log.f64 i))))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) i))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n))) i) #s(literal -1 binary64) (neg.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)))) i)))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
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#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) i) #s(literal 1/2 binary64) (neg.f64 (*.f64 n n))) i))))
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#s(approx (log (+ 1 (/ i n))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (/.f64 n i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) n (/.f64 (fma.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i)) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (pow.f64 n #s(literal 3 binary64)))) i))) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) n (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (pow.f64 n #s(literal 3 binary64)) (neg.f64 (/.f64 (fma.f64 (neg.f64 n) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)))) i))) i))) i)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n))) i)) #s(literal -1 binary64) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n) (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)))) i))) i) #s(literal -1 binary64) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 (neg.f64 i) (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 i #s(literal -1 binary64)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))) i))) (*.f64 i i)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 i) (fma.f64 (neg.f64 n) (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (*.f64 (neg.f64 n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i))))
#s(approx (* (- (log i) (log n)) n) (*.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 n)) n))
#s(approx (- (log i) (log n)) (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 n)))
#s(approx (log i) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) n (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))))))) n (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))))) n (*.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 100 binary64))) n (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))))))) n (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 i) i))) n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))))))) n (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i)) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/3 binary64))))) n (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i)) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 n (*.f64 i i)) #s(literal -1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 i #s(literal 3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) n (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i)) (log.f64 i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 (fma.f64 (/.f64 n (*.f64 i i)) #s(literal -1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 i #s(literal 3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) n (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)))
#s(approx n n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i))) (*.f64 n n)))
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#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) n))
#s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n))
#s(approx (- 1/2 (/ 1/2 n)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))
#s(approx (/ 1/2 n) (/.f64 #s(literal 1/2 binary64) n))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))
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#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64)))
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#s(approx (+ (* (pow n -2) 1/3) 1/6) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64)))
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#s(approx (pow n -2) (pow.f64 n #s(literal -2 binary64)))
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#s(approx (log n) (log.f64 n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64)))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64)))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 (*.f64 (expm1.f64 i) n) i))
#s(approx (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (-.f64 (+.f64 (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 (*.f64 n n) i))) (/.f64 (exp.f64 i) i)) (pow.f64 i #s(literal -1 binary64)))) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n))) #s(literal 1 binary64)))
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#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)) #s(literal 1 binary64)))
#s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64))
#s(approx (- 1/2 (/ 1/2 n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n)) #s(literal 1 binary64)) n))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 #s(literal 1/6 binary64) i)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) i))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (pow n -2) 1/3) 1/6) (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (*.f64 #s(literal 1/2 binary64) n))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
#s(approx (* (- (log i) (log n)) n) (*.f64 (-.f64 (log.f64 i) (neg.f64 (neg.f64 (log.f64 n)))) n))
#s(approx (- (log i) (log n)) (-.f64 (log.f64 i) (neg.f64 (neg.f64 (log.f64 n)))))
#s(approx (log n) (neg.f64 (neg.f64 (log.f64 n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) n))) n)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)))) n))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) n) #s(literal -1 binary64) (/.f64 (expm1.f64 i) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (neg.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (/.f64 (expm1.f64 i) i)))
#s(approx (- (exp (* (log (+ 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 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal -1/3 binary64) (*.f64 (*.f64 i i) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) i))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal -1/4 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n))) n) #s(literal -1 binary64) i))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) n)))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 1/3 binary64) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n))) n)))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n))) n) #s(literal -1 binary64) (neg.f64 i)) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) n))) n)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)))) n))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.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 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (neg.f64 n) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) i) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (neg.f64 n) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) i (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (neg.f64 n) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) i (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))) n))) #s(literal 1 binary64))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (-.f64 (fma.f64 #s(literal -1/6 binary64) i (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (-.f64 (fma.f64 #s(literal -1/6 binary64) i (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) #s(literal 1/2 binary64)) n))) #s(literal 1/2 binary64))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) n) #s(literal -1 binary64) #s(literal 1/6 binary64)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (*.f64 (neg.f64 n) (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))
#s(approx (* (- (log i) (log n)) n) (*.f64 (-.f64 (log.f64 (/.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) n))
#s(approx (- (log i) (log n)) (-.f64 (log.f64 (/.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))))
#s(approx (log n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))

eval53.0ms (0.6%)

Memory
25.5MiB live, 70.4MiB allocated; 7ms collecting garbage
Compiler

Compiled 17 931 to 2 401 computations (86.6% saved)

prune31.0ms (0.3%)

Memory
6.8MiB live, 54.6MiB allocated; 1ms collecting garbage
Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New41321434
Fresh6915
Picked415
Done000
Total42331454
Accuracy
100.0%
Counts
454 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
36.8%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
77.0%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
54.0%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))))) (/.f64 i n)))
41.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
18.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
69.6%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i))
36.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))) (/.f64 i n)))
39.4%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
20.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
2.4%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
58.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
5.7%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
34.3%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
30.4%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
69.1%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) i) n))
73.1%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
49.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
37.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
47.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
52.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
43.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
15.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 n i) (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 n i) (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i) (*.f64 (fma.f64 (*.f64 n i) (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i) (-.f64 (*.f64 n n) (*.f64 (*.f64 (fma.f64 (*.f64 n i) (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i) n))))))
71.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
11.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
33.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
11.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
22.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))) i))) (*.f64 i i)))))
9.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
42.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
15.6%
#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 2 249 to 1 363 computations (39.4% saved)

series57.0ms (0.6%)

Memory
-29.1MiB live, 67.2MiB allocated; 7ms collecting garbage
Counts
52 → 386
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
#s(literal 100 binary64)
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n))
(fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n))
(*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n))
(fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i))
(-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) i)
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/3 binary64) i)
#s(literal 1/3 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)
(*.f64 (*.f64 i i) #s(literal 1/3 binary64))
(*.f64 i i)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) i) n))
(*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) i) n)
(/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) i)
(expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64))
(/.f64 i (*.f64 n n))
(*.f64 n n)
(/.f64 #s(literal 1/2 binary64) 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) i)) #s(hole binary64 100))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 1))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ i n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx i #s(hole binary64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 n))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (* (+ (* 1/6 i) 1/2) n) #s(hole binary64 (* 1/2 n)))
#s(approx (* (+ (* 1/6 i) 1/2) n) #s(hole binary64 (+ (* 1/6 (* i n)) (* 1/2 n))))
#s(approx (+ (* 1/6 i) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 i) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 i))))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(hole binary64 -1/2))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(hole binary64 (- (* i (- (* 1/3 (/ 1 n)) 1/2)) 1/2)))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (* -1/2 n)))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (+ (* -1/2 n) (* i (+ 1/3 (* -1/2 n))))))
#s(approx (- (* -1/2 i) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* -1/2 i) 1/2) #s(hole binary64 (- (* -1/2 i) 1/2)))
#s(approx (* -1/2 i) #s(hole binary64 (* -1/2 i)))
#s(approx (* 1/3 i) #s(hole binary64 (* 1/3 i)))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 n))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (+ n (* i (- (* 1/2 n) 1/2)))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (+ n (* i (- (+ (* 1/2 n) (* i (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2))) 1/2)))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (pow n 2)))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (+ (* i (* n (- (* 1/2 n) 1/2))) (pow n 2))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (+ (* i (+ (* i (+ 1/3 (* n (- (* 1/6 n) 1/2)))) (* n (- (* 1/2 n) 1/2)))) (pow n 2))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 n))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 (+ n (* i (- (* 1/2 n) 1/2)))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 (+ n (* i (- (+ (* 1/2 n) (* i (- (* 1/6 n) 1/2))) 1/2)))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) #s(hole binary64 (+ 1 (* i (+ 1/2 (* 1/6 i))))))
#s(approx (* (- (* -1/2 i) 1/2) i) #s(hole binary64 (* -1/2 i)))
#s(approx (* (- (* -1/2 i) 1/2) i) #s(hole binary64 (* i (- (* -1/2 i) 1/2))))
#s(approx (* (* i i) 1/3) #s(hole binary64 (* 1/3 (pow i 2))))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#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 (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) #s(hole binary64 i))
#s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* -1/2 (/ i n)))))
#s(approx (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))))
#s(approx (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) #s(hole binary64 (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))
#s(approx (* (/ i (* n n)) 1/3) #s(hole binary64 (* 1/3 (/ i (pow n 2)))))
#s(approx (/ i (* n n)) #s(hole binary64 (/ i (pow n 2))))
#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 (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (* 100 (/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) i)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (/ n i)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (+ (* 1/3 (/ (pow n 3) (pow i 3))) (/ n i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
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#s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) #s(hole binary64 (/ (+ (* -1/2 (* (pow i 2) n)) (* 1/3 (pow i 3))) (pow n 2))))
#s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) #s(hole binary64 (/ (+ (* 1/3 (pow i 3)) (* n (+ (* -1/2 (pow i 2)) (* i n)))) (pow n 2))))
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#s(approx (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) #s(hole binary64 (/ (+ (* -1/2 n) (* 1/3 i)) (pow n 2))))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (* 100 (/ (- (exp i) 1) i))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (+ 1/2 (* 1/6 i)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (* 1/6 i))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))))))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(hole binary64 (- (* -1/2 i) 1/2)))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(hole binary64 (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2)))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (* n (- (* -1/2 i) 1/2))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (* n (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
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#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (* (pow n 2) (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (* (pow n 2) (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (* (pow n 2) (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/3 (/ (pow i 2) (pow n 2)))))))
#s(approx (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/3 (/ i n)) 1/2) 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)))))))
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#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
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#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* -1/6 i) 1/2)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* -1/2 i) 1/2) n)) (* -1/6 i)) 1/2)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2) n)) (* -1/6 i)) 1/2)))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (* -1 (* n (+ (* -1 (- (* -1/2 i) 1/2)) (* -1/3 (/ i n)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (* (pow n 2) (+ 1 (+ (* -1 (/ (+ (* -1 (* i (- (* -1/2 i) 1/2))) (* -1/3 (/ (pow i 2) n))) n)) (* i (+ 1/2 (* 1/6 i))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* 1/2 i)) n)))))
#s(approx (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1/3 (/ i n))) n))))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
i
@inf
((* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* (+ (* 1/6 i) 1/2) n) (+ (* 1/6 i) 1/2) 1/6 1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (- (* -1/2 i) 1/2) (* -1/2 i) -1/2 (* 1/3 i) 1/3 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (+ (* (+ (* 1/6 i) 1/2) i) 1) 1 (* (- (* -1/2 i) 1/2) i) (* (* i i) 1/3) (* i i) (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) (* (/ i (* n n)) 1/3) (/ i (* n n)) (* n n) (/ 1/2 n))
9.0ms
i
@-inf
((* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* (+ (* 1/6 i) 1/2) n) (+ (* 1/6 i) 1/2) 1/6 1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (- (* -1/2 i) 1/2) (* -1/2 i) -1/2 (* 1/3 i) 1/3 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (+ (* (+ (* 1/6 i) 1/2) i) 1) 1 (* (- (* -1/2 i) 1/2) i) (* (* i i) 1/3) (* i i) (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) (* (/ i (* n n)) 1/3) (/ i (* n n)) (* n n) (/ 1/2 n))
6.0ms
n
@-inf
((* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* (+ (* 1/6 i) 1/2) n) (+ (* 1/6 i) 1/2) 1/6 1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (- (* -1/2 i) 1/2) (* -1/2 i) -1/2 (* 1/3 i) 1/3 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (+ (* (+ (* 1/6 i) 1/2) i) 1) 1 (* (- (* -1/2 i) 1/2) i) (* (* i i) 1/3) (* i i) (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) (* (/ i (* n n)) 1/3) (/ i (* n n)) (* n n) (/ 1/2 n))
6.0ms
i
@0
((* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* (+ (* 1/6 i) 1/2) n) (+ (* 1/6 i) 1/2) 1/6 1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (- (* -1/2 i) 1/2) (* -1/2 i) -1/2 (* 1/3 i) 1/3 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (+ (* (+ (* 1/6 i) 1/2) i) 1) 1 (* (- (* -1/2 i) 1/2) i) (* (* i i) 1/3) (* i i) (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) (* (/ i (* n n)) 1/3) (/ i (* n n)) (* n n) (/ 1/2 n))
5.0ms
n
@0
((* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* (+ (* 1/6 i) 1/2) n) (+ (* 1/6 i) 1/2) 1/6 1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (- (* -1/2 i) 1/2) (* -1/2 i) -1/2 (* 1/3 i) 1/3 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (+ (* (+ (* 1/6 i) 1/2) i) 1) 1 (* (- (* -1/2 i) 1/2) i) (* (* i i) 1/3) (* i i) (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) (* (/ i (* n n)) 1/3) (/ i (* n n)) (* n n) (/ 1/2 n))

rewrite181.0ms (2%)

Memory
54.7MiB live, 191.3MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159018736
0165717518
0823116743
Stop Event
iter limit
node limit
iter limit
Counts
438 → 497
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
#s(literal 100 binary64)
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n))
(fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n))
(*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
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#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* 1/3 (/ i n))))
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#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* 1/3 i) (* n (- (+ (* -1/2 i) (* n (+ 1/2 (* 1/6 i)))) 1/2))) n)))
#s(approx (* (+ (* 1/6 i) 1/2) n) #s(hole binary64 (* n (+ 1/2 (* 1/6 i)))))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(hole binary64 (* 1/3 (/ i n))))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(hole binary64 (/ (+ (* 1/3 i) (* n (- (* -1/2 i) 1/2))) n)))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (* 1/3 i)))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (+ (* 1/3 i) (* n (- (* -1/2 i) 1/2)))))
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#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 (* i (- (* -1/2 i) 1/2))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
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#s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) #s(hole binary64 (/ (+ (* -1/2 (* (pow i 2) n)) (* 1/3 (pow i 3))) (pow n 2))))
#s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) #s(hole binary64 (/ (+ (* 1/3 (pow i 3)) (* n (+ (* -1/2 (pow i 2)) (* i n)))) (pow n 2))))
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#s(approx (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) #s(hole binary64 (/ (+ (* -1/2 n) (* 1/3 i)) (pow n 2))))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
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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) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (* 100 (/ (- (exp i) 1) i))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
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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)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 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 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (+ 1/2 (* 1/6 i)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (* 1/6 i))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))))))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(hole binary64 (- (* -1/2 i) 1/2)))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(hole binary64 (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2)))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (* n (- (* -1/2 i) 1/2))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (* n (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (* (pow n 2) (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (* (pow n 2) (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (* (pow n 2) (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/3 (/ (pow i 2) (pow n 2)))))))
#s(approx (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/3 (/ i n)) 1/2) n)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* -1/6 i) 1/2)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* -1/2 i) 1/2) n)) (* -1/6 i)) 1/2)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2) n)) (* -1/6 i)) 1/2)))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (* -1 (* n (+ (* -1 (- (* -1/2 i) 1/2)) (* -1/3 (/ i n)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (* (pow n 2) (+ 1 (+ (* -1 (/ (+ (* -1 (* i (- (* -1/2 i) 1/2))) (* -1/3 (/ (pow i 2) n))) n)) (* i (+ 1/2 (* 1/6 i))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* 1/2 i)) n)))))
#s(approx (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1/3 (/ i n))) n))))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
#s(literal 100 binary64)
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (pow.f64 i #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)))
(/.f64 (neg.f64 i) (neg.f64 n))
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i)) (*.f64 n n)) (-.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) n))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) (-.f64 (*.f64 n n) (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) n))))
(fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)
(+.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) n)
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n))
(*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) i) (*.f64 #s(literal 1/6 binary64) i)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) i) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) i) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) i) (*.f64 #s(literal 1/6 binary64) i) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) i) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) i) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n))
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(fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(+.f64 (*.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (fma.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n) (*.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)))))
(-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64))
(/.f64 (neg.f64 i) (neg.f64 (*.f64 n n)))
(/.f64 i (*.f64 n n))
(*.f64 (pow.f64 n #s(literal 1 binary64)) (pow.f64 n #s(literal 1 binary64)))
(*.f64 (neg.f64 n) (neg.f64 n))
(*.f64 (fabs.f64 n) (fabs.f64 n))
(*.f64 n n)
(pow.f64 n #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 n) #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 n))
(/.f64 #s(literal 1/2 binary64) n)
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#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)))))))))
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#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (fma.f64 #s(literal 100 binary64) n (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))) (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (-.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -11/24 binary64) (pow.f64 n #s(literal -2 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 n #s(literal -3 binary64)))))) (*.f64 n (-.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (+.f64 #s(literal 100 binary64) (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (-.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (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)))))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (+.f64 #s(literal 100 binary64) (*.f64 i (fma.f64 #s(literal 100 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))) (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (-.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -11/24 binary64) (pow.f64 n #s(literal -2 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 n #s(literal -3 binary64))))) (-.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 1 binary64))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (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) (pow.f64 n #s(literal -1 binary64)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 i (-.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -11/24 binary64) (pow.f64 n #s(literal -2 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 n #s(literal -3 binary64)))))))) (*.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)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (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) (pow.f64 n #s(literal -1 binary64))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 i (-.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -11/24 binary64) (pow.f64 n #s(literal -2 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 n #s(literal -3 binary64)))))))) (*.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))))))))
#s(approx (* (log (+ 1 (/ i n))) n) i)
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#s(approx (log (+ 1 (/ i n))) (/.f64 i n))
#s(approx (log (+ 1 (/ i n))) (*.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 i (*.f64 n n)) (pow.f64 n #s(literal -1 binary64)))))
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#s(approx (/ i n) (/.f64 i n))
#s(approx i i)
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#s(approx (+ (* 1/6 i) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))
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#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (fma.f64 #s(literal -1/2 binary64) n (*.f64 i (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) n)))))
#s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64))
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#s(approx (* -1/2 i) (*.f64 #s(literal -1/2 binary64) i))
#s(approx (* 1/3 i) (*.f64 #s(literal 1/3 binary64) i))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) n)
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (fma.f64 #s(literal 1/2 binary64) n (*.f64 i (-.f64 (fma.f64 #s(literal 1/6 binary64) n (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))))
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#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n)
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (+.f64 n (*.f64 i (-.f64 (fma.f64 #s(literal 1/2 binary64) n (*.f64 i (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i)))
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#s(approx (* (- (* -1/2 i) 1/2) i) (*.f64 #s(literal -1/2 binary64) i))
#s(approx (* (- (* -1/2 i) 1/2) i) (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))
#s(approx (* (* i i) 1/3) (*.f64 #s(literal 1/3 binary64) (*.f64 i i)))
#s(approx (* i i) (*.f64 i i))
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#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))
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#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (neg.f64 (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)))))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (neg.f64 (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (neg.f64 (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n (/.f64 n i))) #s(literal 1/3 binary64)))))
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#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)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (fma.f64 n (-.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 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (/.f64 (log.f64 i) (*.f64 i i))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (fma.f64 n (-.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 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 i i)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i)))))) (/.f64 (log.f64 i) i)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64))))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (/.f64 n i))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (pow.f64 i #s(literal -1 binary64)))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 n (fma.f64 #s(literal 1/3 binary64) (/.f64 n (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64)))))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (/.f64 n i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (pow.f64 i #s(literal -1 binary64))))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 n (fma.f64 #s(literal 1/3 binary64) (/.f64 n (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64))))))
#s(approx n n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (-.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 i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) n))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 n (fma.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))))) n))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(literal 1/3 binary64) i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) n))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(literal 1/3 binary64) i (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))) #s(literal 1/2 binary64)))) n))
#s(approx (* (+ (* 1/6 i) 1/2) n) (*.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (*.f64 #s(literal 1/3 binary64) (/.f64 i n)))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (/.f64 (fma.f64 #s(literal 1/3 binary64) i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) n))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 #s(literal 1/3 binary64) i))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (fma.f64 #s(literal 1/3 binary64) i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) n)))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) n))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 n (fma.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))))) n))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i)))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 n (fma.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (fma.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))))
#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)))))))))
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#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
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#s(approx (log (+ 1 (/ i n))) (/.f64 (+.f64 i (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n))) n))
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#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 n (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 #s(literal 1/6 binary64) i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))
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#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) #s(literal 1/2 binary64))))
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#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (*.f64 n (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) (*.f64 n n)) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) (*.f64 n n)) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))))))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 (*.f64 n (expm1.f64 i)) i))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.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) n) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (*.f64 n n))))) (pow.f64 i #s(literal -1 binary64)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64))))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (*.f64 n n)))))) (pow.f64 i #s(literal -1 binary64)))))
#s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) (+.f64 i (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n))))
#s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) (+.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 n n))))))
#s(approx (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) (*.f64 n n))))))
#s(approx (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 i n)) #s(literal 1/2 binary64)) n))
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#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))))))
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#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))))
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#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)))
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#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)))
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#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (neg.f64 (*.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) n) (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) n) (*.f64 i (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (neg.f64 (*.f64 n (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)))))
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#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 i n))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (neg.f64 (*.f64 n (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) n) (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) n))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 i i) n))) n) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (neg.f64 (*.f64 n (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)))))))
#s(approx (* 100 (* (/ (- (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 (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) (+.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 (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 i i) n) (*.f64 #s(literal 1/2 binary64) i)) n))))
#s(approx (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) n)))

eval80.0ms (0.9%)

Memory
-38.3MiB live, 107.2MiB allocated; 11ms collecting garbage
Compiler

Compiled 34 489 to 3 325 computations (90.4% saved)

prune42.0ms (0.5%)

Memory
27.9MiB live, 75.5MiB allocated; 1ms collecting garbage
Pruning

42 alts after pruning (39 fresh and 3 done)

PrunedKeptTotal
New56522587
Fresh81725
Picked325
Done011
Total57642618
Accuracy
100.0%
Counts
618 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
36.8%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
30.4%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
77.0%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
17.9%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 #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))))) n)) i)) n)
73.1%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
12.5%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) i)) n)
17.2%
(*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))) i))) n)
54.0%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))))) (/.f64 i n)))
41.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
18.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
69.6%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i))
36.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))) (/.f64 i n)))
20.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
2.4%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
58.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
5.7%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
34.3%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
30.4%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
24.6%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) #s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (*.f64 i i) (*.f64 i n)))) (*.f64 n n))))) i) n))
73.1%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) #s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) i))) i) n))
43.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
31.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)))))) n)) i n)))
52.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
51.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
49.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
45.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
41.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
30.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i)) (*.f64 n n)) (-.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) n))))
71.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
11.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
12.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
11.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
22.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 #s(literal -1/2 binary64) n))) i) (*.f64 #s(literal 1/6 binary64) n)) #s(literal 1/2 binary64)))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
36.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
35.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n n))) n))))
37.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
45.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
45.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
9.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
9.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
42.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Compiler

Compiled 3 775 to 2 300 computations (39.1% saved)

series49.0ms (0.5%)

Memory
-2.7MiB live, 49.5MiB allocated; 15ms collecting garbage
Counts
40 → 376
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
#s(literal 100 binary64)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n))
(fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n))
(fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))
(/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)
(fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i))
#s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/3 binary64) i)
#s(literal 1/3 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))))
(fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))
#s(literal 1 binary64)
(*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n)
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i)
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
Outputs
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* 100 n)))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* 100 i)))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ i n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx i #s(hole binary64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 n))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(hole binary64 -1/2))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(hole binary64 (- (* i (- (* 1/3 (/ 1 n)) 1/2)) 1/2)))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (* -1/2 n)))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (+ (* -1/2 n) (* i (+ 1/3 (* -1/2 n))))))
#s(approx (- (* -1/2 i) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* -1/2 i) 1/2) #s(hole binary64 (- (* -1/2 i) 1/2)))
#s(approx (* 1/3 i) #s(hole binary64 (* 1/3 i)))
#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 (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) #s(hole binary64 i))
#s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (* i (* (- 1/2 (/ 1/2 n)) i)) #s(hole binary64 (* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (* (- 1/2 (/ 1/2 n)) i) #s(hole binary64 (* i (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) 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 (+ (/ i n) 1) 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 (+ (/ i n) 1) n) 1) i) n) #s(hole binary64 n))
#s(approx (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (* (/ (- (pow (+ (/ i n) 1) 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 (+ (/ i n) 1) 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 (+ (/ i n) 1) n) 1) i) #s(hole binary64 1))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (pow (+ (/ i n) 1) 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 (/ (- (pow (+ (/ i n) 1) 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 (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 i))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 1))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 i)))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))))
#s(approx (+ (/ i n) 1) #s(hole binary64 1))
#s(approx (+ (/ i n) 1) #s(hole binary64 (+ 1 (/ i n))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))))
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#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 (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) #s(hole binary64 (* -1/2 (/ (pow i 2) n))))
#s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) #s(hole binary64 (/ (+ (* -1/2 (pow i 2)) (* n (+ i (* 1/2 (pow i 2))))) n)))
#s(approx (* i (* (- 1/2 (/ 1/2 n)) i)) #s(hole binary64 (* -1/2 (/ (pow i 2) n))))
#s(approx (* i (* (- 1/2 (/ 1/2 n)) i)) #s(hole binary64 (/ (+ (* -1/2 (pow i 2)) (* 1/2 (* (pow i 2) n))) n)))
#s(approx (* (- 1/2 (/ 1/2 n)) i) #s(hole binary64 (* -1/2 (/ i n))))
#s(approx (* (- 1/2 (/ 1/2 n)) i) #s(hole binary64 (/ (+ (* -1/2 i) (* 1/2 (* i n))) n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))))
#s(approx (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (* (/ (- (pow (+ (/ i n) 1) 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 (+ (/ i n) 1) 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 (+ (/ i n) 1) 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 (+ (/ i n) 1) n) 1) i) #s(hole binary64 (/ (* n (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))))
#s(approx (+ (/ i n) 1) #s(hole binary64 (/ (+ i n) n)))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (+ 1/2 (* 1/6 i)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (* 1/6 i))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))))))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(hole binary64 (- (* -1/2 i) 1/2)))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(hole binary64 (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2)))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (* n (- (* -1/2 i) 1/2))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (* n (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2))))
#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 (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) #s(hole binary64 (+ i (* 1/2 (pow i 2)))))
#s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/2 (pow i 2))))))
#s(approx (* i (* (- 1/2 (/ 1/2 n)) i)) #s(hole binary64 (* 1/2 (pow i 2))))
#s(approx (* i (* (- 1/2 (/ 1/2 n)) i)) #s(hole binary64 (+ (* -1/2 (/ (pow i 2) n)) (* 1/2 (pow i 2)))))
#s(approx (* (- 1/2 (/ 1/2 n)) i) #s(hole binary64 (* 1/2 i)))
#s(approx (* (- 1/2 (/ 1/2 n)) i) #s(hole binary64 (+ (* -1/2 (/ i n)) (* 1/2 i))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (* (/ (- (pow (+ (/ i n) 1) 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 (+ (/ i n) 1) 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 (+ (/ i n) 1) n) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (exp i)))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* -1/6 i) 1/2)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* -1/2 i) 1/2) n)) (* -1/6 i)) 1/2)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2) n)) (* -1/6 i)) 1/2)))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (* -1 (* n (+ (* -1 (- (* -1/2 i) 1/2)) (* -1/3 (/ i n)))))))
#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 (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (pow (+ (/ i n) 1) 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 (+ (/ i n) 1) 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 (+ (/ i n) 1) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
Calls

6 calls:

TimeVariablePointExpression
18.0ms
i
@inf
((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) -1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (- (* -1/2 i) 1/2) (* 1/3 i) 1/3 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) 1 (* i (* (- 1/2 (/ 1/2 n)) i)) (* (- 1/2 (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n) (/ (- (pow (+ (/ i n) 1) n) 1) i) (- (pow (+ (/ i n) 1) n) 1) (pow (+ (/ i n) 1) n) (+ (/ i n) 1))
6.0ms
i
@-inf
((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) -1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (- (* -1/2 i) 1/2) (* 1/3 i) 1/3 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) 1 (* i (* (- 1/2 (/ 1/2 n)) i)) (* (- 1/2 (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n) (/ (- (pow (+ (/ i n) 1) n) 1) i) (- (pow (+ (/ i n) 1) n) 1) (pow (+ (/ i n) 1) n) (+ (/ i n) 1))
4.0ms
n
@0
((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) -1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (- (* -1/2 i) 1/2) (* 1/3 i) 1/3 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) 1 (* i (* (- 1/2 (/ 1/2 n)) i)) (* (- 1/2 (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n) (/ (- (pow (+ (/ i n) 1) n) 1) i) (- (pow (+ (/ i n) 1) n) 1) (pow (+ (/ i n) 1) n) (+ (/ i n) 1))
4.0ms
n
@-inf
((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) -1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (- (* -1/2 i) 1/2) (* 1/3 i) 1/3 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) 1 (* i (* (- 1/2 (/ 1/2 n)) i)) (* (- 1/2 (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n) (/ (- (pow (+ (/ i n) 1) n) 1) i) (- (pow (+ (/ i n) 1) n) 1) (pow (+ (/ i n) 1) n) (+ (/ i n) 1))
3.0ms
i
@0
((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) -1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (- (* -1/2 i) 1/2) (* 1/3 i) 1/3 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) 1 (* i (* (- 1/2 (/ 1/2 n)) i)) (* (- 1/2 (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n) (/ (- (pow (+ (/ i n) 1) n) 1) i) (- (pow (+ (/ i n) 1) n) 1) (pow (+ (/ i n) 1) n) (+ (/ i n) 1))

rewrite239.0ms (2.6%)

Memory
16.9MiB live, 193.0MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143019240
0147717386
0817316296
Stop Event
iter limit
node limit
iter limit
Counts
416 → 480
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
#s(literal 100 binary64)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n))
(fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
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#s(approx (* i (* (- 1/2 (/ 1/2 n)) i)) #s(hole binary64 (* -1/2 (/ (pow i 2) n))))
#s(approx (* i (* (- 1/2 (/ 1/2 n)) i)) #s(hole binary64 (/ (+ (* -1/2 (pow i 2)) (* 1/2 (* (pow i 2) n))) n)))
#s(approx (* (- 1/2 (/ 1/2 n)) i) #s(hole binary64 (* -1/2 (/ i n))))
#s(approx (* (- 1/2 (/ 1/2 n)) i) #s(hole binary64 (/ (+ (* -1/2 i) (* 1/2 (* i n))) n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))))
#s(approx (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (* (/ (- (pow (+ (/ i n) 1) 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 (+ (/ i n) 1) 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 (+ (/ i n) 1) 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 (+ (/ i n) 1) n) 1) i) #s(hole binary64 (/ (* n (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))))
#s(approx (+ (/ i n) 1) #s(hole binary64 (/ (+ i n) n)))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (+ 1/2 (* 1/6 i)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (* 1/6 i))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))))))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(hole binary64 (- (* -1/2 i) 1/2)))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(hole binary64 (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2)))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (* n (- (* -1/2 i) 1/2))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (* n (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2))))
#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 (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) #s(hole binary64 (+ i (* 1/2 (pow i 2)))))
#s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/2 (pow i 2))))))
#s(approx (* i (* (- 1/2 (/ 1/2 n)) i)) #s(hole binary64 (* 1/2 (pow i 2))))
#s(approx (* i (* (- 1/2 (/ 1/2 n)) i)) #s(hole binary64 (+ (* -1/2 (/ (pow i 2) n)) (* 1/2 (pow i 2)))))
#s(approx (* (- 1/2 (/ 1/2 n)) i) #s(hole binary64 (* 1/2 i)))
#s(approx (* (- 1/2 (/ 1/2 n)) i) #s(hole binary64 (+ (* -1/2 (/ i n)) (* 1/2 i))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (* (/ (- (pow (+ (/ i n) 1) 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 (+ (/ i n) 1) 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 (+ (/ i n) 1) n) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (exp i)))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* -1/6 i) 1/2)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* -1/2 i) 1/2) n)) (* -1/6 i)) 1/2)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2) n)) (* -1/6 i)) 1/2)))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) #s(hole binary64 (* -1 (* n (+ (* -1 (- (* -1/2 i) 1/2)) (* -1/3 (/ i n)))))))
#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 (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (pow (+ (/ i n) 1) n) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (pow (+ (/ i n) 1) 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 (+ (/ i n) 1) 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 (+ (/ i n) 1) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n)
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
(/.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 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)))
(/.f64 (neg.f64 i) (neg.f64 n))
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i)) (*.f64 n n)) (-.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i) n))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i) (-.f64 (*.f64 n n) (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i) n))))
(fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)
(+.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i) n)
(+.f64 n (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i)) (*.f64 n n)) (-.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i) n))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i) (-.f64 (*.f64 n n) (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i) n))))
(fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)
(+.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i) n)
(+.f64 n (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))
(/.f64 (neg.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i))) (neg.f64 n))
(/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)
(+.f64 (/.f64 (*.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n) n) (*.f64 #s(literal 1/3 binary64) (/.f64 i n)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n) (*.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n)) (*.f64 (*.f64 #s(literal 1/3 binary64) i) (*.f64 #s(literal 1/3 binary64) i))) (-.f64 (*.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n) (*.f64 #s(literal 1/3 binary64) i)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) i) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n) (*.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) i) (*.f64 #s(literal 1/3 binary64) i)) (*.f64 (*.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n) (*.f64 #s(literal 1/3 binary64) i)))))
(fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i))
(fma.f64 #s(literal 1/3 binary64) i (*.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n))
(-.f64 (*.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n) (*.f64 #s(literal -1/3 binary64) i))
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(fma.f64 i #s(literal 1 binary64) (*.f64 (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i))
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#s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) i)
#s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (*.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))))
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#s(approx (* (- 1/2 (/ 1/2 n)) i) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
#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) (fma.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 i n) (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) (*.f64 #s(literal 100 binary64) n)))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (fma.f64 (*.f64 i n) (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i (fma.f64 (*.f64 i n) (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -3 binary64)) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 n (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))))) n))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) #s(literal 1 binary64))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) (fma.f64 i (-.f64 (fma.f64 i (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) (fma.f64 i (-.f64 (fma.f64 i (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 i (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -3 binary64)) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) i)
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 i (fma.f64 i (-.f64 (fma.f64 i (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 i (fma.f64 i (-.f64 (fma.f64 i (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 i (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -3 binary64)) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))))
#s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))
#s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) i))
#s(approx (pow (+ (/ i n) 1) n) (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (pow (+ (/ i n) 1) n) (fma.f64 i (fma.f64 i (-.f64 (fma.f64 i (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (+ (/ i n) 1) #s(literal 1 binary64))
#s(approx (+ (/ i n) 1) (+.f64 (/.f64 i n) #s(literal 1 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i) (*.f64 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (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 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (fma.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64))))) (pow.f64 i #s(literal 3 binary64)))))) (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (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))))))) i))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (+.f64 (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (*.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (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 #s(literal 100 binary64) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (fma.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64))))) (pow.f64 i #s(literal 3 binary64))))) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (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)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (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)))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (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)) (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64))))) (pow.f64 i #s(literal 3 binary64)))))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))) (/.f64 (*.f64 n n) i)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 n #s(literal 3 binary64)) (*.f64 i i)) (fma.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))) (/.f64 (*.f64 n n) i))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 n #s(literal 3 binary64)) (*.f64 i i)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))) (/.f64 (*.f64 n n) i)))))
#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))
#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (log.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (/.f64 n i))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 n i))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 n n) (*.f64 i i)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 n i) #s(literal 3 binary64)) (/.f64 n i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i) (*.f64 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (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 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (fma.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64))))) (pow.f64 i #s(literal 3 binary64)))))) (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (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))))))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i) (*.f64 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) i))
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#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (*.f64 i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) i))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/3 binary64))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (fma.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)) #s(literal 1/3 binary64))))
#s(approx (- (* -1/2 i) 1/2) (*.f64 #s(literal -1/2 binary64) i))
#s(approx (- (* -1/2 i) 1/2) (*.f64 (neg.f64 i) (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/2 binary64))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) #s(literal 1 binary64)))
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#s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (*.f64 (*.f64 i i) (-.f64 (+.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i) (*.f64 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (fma.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (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)))))) i))
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#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) (/.f64 (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) i))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))
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#s(approx (pow (+ (/ i n) 1) n) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))
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#s(approx (pow (+ (/ i n) 1) n) (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (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)) (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) i) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64))))) (pow.f64 i #s(literal 3 binary64)))))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))
#s(approx (+ (/ i n) 1) (/.f64 i n))
#s(approx (+ (/ i n) 1) (*.f64 i (+.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (*.f64 n (/.f64 (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) i))))
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#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (+.f64 (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (*.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (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) (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))))) i))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) (*.f64 n n)) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 #s(literal -100 binary64) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (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 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) i)))) i))) i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (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) (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))))) i)) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
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#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (*.f64 n n) i)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 n #s(literal 3 binary64)) i) (neg.f64 (*.f64 n n))) i))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 n #s(literal 4 binary64)) i))) i) (neg.f64 (*.f64 n n))) i))))
#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n n) i) (neg.f64 n)) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.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)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
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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 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) 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 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (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 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) i))))) i))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (*.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (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 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (/.f64 (fma.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (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)) (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))))) i))) i)))
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#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 i) (fma.f64 (neg.f64 n) (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (*.f64 (neg.f64 n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i))))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (neg.f64 (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64))) n)))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (*.f64 (neg.f64 i) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/3 binary64) n))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 (neg.f64 i) (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 (neg.f64 i) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n (/.f64 n i))) #s(literal 1/3 binary64))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (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) (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))))) i)) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (*.f64 n (/.f64 (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) i))))
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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 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) 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 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (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 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) i))))) i))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (*.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (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 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (/.f64 (fma.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (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)) (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (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 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (neg.f64 (/.f64 (fma.f64 (neg.f64 n) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (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 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (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 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) i)))) i))) i))) i)))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) (/.f64 (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) i))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (/.f64 (*.f64 (neg.f64 (*.f64 n n)) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) i)) i)))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (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) (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))))) i))) i)))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (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 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) i) (neg.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (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) (neg.f64 (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))))) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (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) (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))))) i)) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (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)))) (neg.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (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 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) i)))) i))) i) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (pow (+ (/ i n) 1) n) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
#s(approx (pow (+ (/ i n) 1) n) (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))))
#s(approx (pow (+ (/ i n) 1) n) (fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (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) (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))))) i)) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))))
#s(approx (pow (+ (/ i n) 1) n) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (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)))) (neg.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (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 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) i)))) i))) i) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) 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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))))) (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))))) (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 n (fma.f64 n (*.f64 #s(literal 100 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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) (/.f64 (log.f64 i) i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64))))) (*.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 n (fma.f64 n (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (*.f64 i i)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -3 binary64)))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64))))) (*.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 n))) (log.f64 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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)))) (neg.f64 (log.f64 n))) (log.f64 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (*.f64 i i)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #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)))) (neg.f64 (log.f64 n))) (log.f64 i))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i)) (log.f64 i))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (pow.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 n))) (log.f64 i))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (fma.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))) (neg.f64 (log.f64 n))) (log.f64 i))))
#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i)) (log.f64 i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (pow.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 n))) (log.f64 i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.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))) (neg.f64 (log.f64 n))) (log.f64 i)))
#s(approx n n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) 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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))))) (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))))) (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)))))) (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) n))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 n (fma.f64 n (fma.f64 i (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))))) n))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(literal 1/3 binary64) i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) n))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(literal 1/3 binary64) i (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) n))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (*.f64 #s(literal 1/3 binary64) (/.f64 i n)))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (/.f64 (fma.f64 #s(literal 1/3 binary64) i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) n))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 #s(literal 1/3 binary64) i))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (fma.f64 #s(literal 1/3 binary64) i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))))
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#s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n)))
#s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 i i) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) i))) n))
#s(approx (* i (* (- 1/2 (/ 1/2 n)) i)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n)))
#s(approx (* i (* (- 1/2 (/ 1/2 n)) i)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) n (*.f64 #s(literal -1/2 binary64) (*.f64 i i))) n))
#s(approx (* (- 1/2 (/ 1/2 n)) i) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))
#s(approx (* (- 1/2 (/ 1/2 n)) i) (/.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 #s(literal 1/2 binary64) (*.f64 i n))) n))
#s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n))
#s(approx (- 1/2 (/ 1/2 n)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))
#s(approx (/ 1/2 n) (/.f64 #s(literal 1/2 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) 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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))))) (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))))) (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)))))) (/.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 (+ (/ i n) 1) n) 1) i) (*.f64 n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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 (+ (/ i n) 1) n) 1) i) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)))))) (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 n))) (log.f64 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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)))) (neg.f64 (log.f64 n))) (log.f64 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (*.f64 i i)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #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)))) (neg.f64 (log.f64 n))) (log.f64 i))))
#s(approx (pow (+ (/ i n) 1) n) (fma.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 1 binary64)))
#s(approx (pow (+ (/ i n) 1) n) (fma.f64 n (+.f64 (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 n))) (log.f64 i)) #s(literal 1 binary64)))
#s(approx (pow (+ (/ i n) 1) n) (fma.f64 n (+.f64 (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #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)))) (neg.f64 (log.f64 n))) (log.f64 i)) #s(literal 1 binary64)))
#s(approx (+ (/ i n) 1) (/.f64 (+.f64 n i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64)))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 i)))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 #s(literal -50 binary64) (*.f64 (*.f64 i i) (/.f64 (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 -50 binary64) (*.f64 (*.f64 i i) (/.f64 (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 i i) (/.f64 (exp.f64 i) n)) (fma.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)))))) (pow.f64 n #s(literal 3 binary64)))) (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.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(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i)) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)))))) (pow.f64 n #s(literal 3 binary64))))) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) i))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) i) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))) (*.f64 n n))))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))) (*.f64 n n)))) i))
#s(approx (log (+ 1 (/ i n))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) i) n))
#s(approx (log (+ 1 (/ i n))) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) i) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))) (*.f64 n n))) n))
#s(approx (log (+ 1 (/ i n))) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))) (*.f64 n n)))) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (/.f64 (expm1.f64 i) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (exp.f64 i) i))) (pow.f64 i #s(literal -1 binary64)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (-.f64 (+.f64 (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64))))) (/.f64 (exp.f64 i) i)) (pow.f64 i #s(literal -1 binary64))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 n (fma.f64 i (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 n (+.f64 (fma.f64 i (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 n (+.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) (*.f64 n n)) (fma.f64 i (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))) #s(literal 1 binary64))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 n (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 #s(literal 1/6 binary64) i)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 n (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 #s(literal 1/6 binary64) i (*.f64 #s(literal 1/3 binary64) (/.f64 i (*.f64 n n))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) #s(literal 1/2 binary64))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.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(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i)) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)))))) (pow.f64 n #s(literal 3 binary64))))) #s(literal 1 binary64)))
#s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) i))
#s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i i))) i))
#s(approx (* i (* (- 1/2 (/ 1/2 n)) i)) (*.f64 #s(literal 1/2 binary64) (*.f64 i i)))
#s(approx (* i (* (- 1/2 (/ 1/2 n)) i)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i i))))
#s(approx (* (- 1/2 (/ 1/2 n)) i) (*.f64 #s(literal 1/2 binary64) i))
#s(approx (* (- 1/2 (/ 1/2 n)) i) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)))
#s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64))
#s(approx (- 1/2 (/ 1/2 n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (/.f64 (expm1.f64 i) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (exp.f64 i) i))) (pow.f64 i #s(literal -1 binary64)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (-.f64 (+.f64 (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64))))) (/.f64 (exp.f64 i) i)) (pow.f64 i #s(literal -1 binary64))))))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) (/.f64 (expm1.f64 i) i))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (/.f64 (expm1.f64 i) i)))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (exp.f64 i) i))) (pow.f64 i #s(literal -1 binary64))))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (-.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 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64))))) (/.f64 (exp.f64 i) i)) (pow.f64 i #s(literal -1 binary64)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.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(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i)) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)))))) (pow.f64 n #s(literal 3 binary64))))) #s(literal 1 binary64)))
#s(approx (pow (+ (/ i n) 1) n) (exp.f64 i))
#s(approx (pow (+ (/ i n) 1) n) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i)))
#s(approx (pow (+ (/ i n) 1) n) (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.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 (pow (+ (/ i n) 1) n) (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i)) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)))))) (pow.f64 n #s(literal 3 binary64))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)) (*.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)))) n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 (exp.f64 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)))) 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 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))))) n)))) n))) n)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 #s(literal 100 binary64) (expm1.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal 50 binary64) (*.f64 (*.f64 i i) (exp.f64 i)) (*.f64 #s(literal -100 binary64) (*.f64 (exp.f64 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)) (fma.f64 #s(literal 100 binary64) (expm1.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 50 binary64) (*.f64 i i)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))))) n)) (*.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))))) n))) n))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)) (neg.f64 (*.f64 (exp.f64 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) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i) (neg.f64 (/.f64 (fma.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)))) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))))) n)))) n))) n) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 #s(literal -1 binary64) (/.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) i))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) (neg.f64 (/.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))) n) i))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i i) n) (neg.f64 i)) 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 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 i i) (neg.f64 (/.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))) n) (neg.f64 i)) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)) (*.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)))) n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 (exp.f64 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)))) 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 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))))) n)))) n))) n)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.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) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.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 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))))) (*.f64 i n)) (neg.f64 (*.f64 (exp.f64 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)))) i)))) n))) n) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (neg.f64 n) (-.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (neg.f64 n) (-.f64 (fma.f64 i (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (neg.f64 n) (-.f64 (fma.f64 i (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) n) (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) n))) #s(literal 1 binary64))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (-.f64 (fma.f64 #s(literal -1/6 binary64) i (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (-.f64 (fma.f64 #s(literal -1/6 binary64) i (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) #s(literal 1/2 binary64)) n))) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 (neg.f64 n) (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)) (neg.f64 (*.f64 (exp.f64 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) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i) (neg.f64 (/.f64 (fma.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)))) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))))) n)))) n))) n) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)) (*.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)))) n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 (exp.f64 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)))) 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 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))))) n)))) n))) n)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.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) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.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 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))))) (*.f64 i n)) (neg.f64 (*.f64 (exp.f64 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)))) i)))) n))) n) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) i) (exp.f64 i) (neg.f64 (*.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 (expm1.f64 i) i)))
#s(approx (/ (- (pow (+ (/ i n) 1) n) 1) i) (fma.f64 #s(literal -1 binary64) (/.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 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) i) (neg.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))))) n)))) n))) n) (/.f64 (expm1.f64 i) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)) (neg.f64 (*.f64 (exp.f64 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) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i) (neg.f64 (/.f64 (fma.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)))) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))))) n)))) n))) n) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (pow (+ (/ i n) 1) n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)) (neg.f64 (*.f64 (exp.f64 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) (exp.f64 i)))
#s(approx (pow (+ (/ i n) 1) n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i) (neg.f64 (/.f64 (fma.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)))) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))))) n)))) n))) n) (exp.f64 i)))

eval50.0ms (0.5%)

Memory
-11.6MiB live, 36.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 18 903 to 2 285 computations (87.9% saved)

prune45.0ms (0.5%)

Memory
-8.3MiB live, 39.5MiB allocated; 1ms collecting garbage
Pruning

41 alts after pruning (37 fresh and 4 done)

PrunedKeptTotal
New40411415
Fresh82634
Picked325
Done123
Total41641457
Accuracy
100.0%
Counts
457 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.8%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
36.9%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i i))) (/.f64 i n))
34.2%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
77.1%
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n)
30.4%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
17.9%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 #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))))) n)) i)) n)
73.1%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
12.5%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) i)) n)
54.0%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))))) (/.f64 i n)))
41.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
69.6%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i))
20.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
2.4%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
39.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) i))) (/.f64 i n)))
5.7%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n)))) (/.f64 i n)))
30.0%
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) (/.f64 i n))))
41.7%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64)) i) n))
19.0%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
73.1%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) #s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) i))) i) n))
43.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
31.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (fma.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)) #s(literal 1/3 binary64)))) n)) i n)))
52.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
51.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
49.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
45.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
41.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
30.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i)) (*.f64 n n)) (-.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) n))))
16.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i) (-.f64 (*.f64 n n) (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i) n))))))
71.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
11.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
12.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
11.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
22.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 #s(literal -1/2 binary64) n))) i) (*.f64 #s(literal 1/6 binary64) n)) #s(literal 1/2 binary64)))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
36.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
35.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n n))) n))))
37.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
45.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
45.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
9.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
9.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
42.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Compiler

Compiled 5 313 to 1 709 computations (67.8% saved)

regimes68.0ms (0.7%)

Memory
-12.0MiB live, 34.2MiB allocated; 2ms collecting garbage
Counts
75 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (fma.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)) #s(literal 1/3 binary64)))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)))))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i)) (*.f64 n n)) (-.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 #s(literal -1/2 binary64) n))) i) (*.f64 #s(literal 1/6 binary64) n)) #s(literal 1/2 binary64)))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) #s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) i))) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.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)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) i) n))
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))) i))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i) (-.f64 (*.f64 n n) (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i) n))))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) #s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (*.f64 i i) (*.f64 i n)))) (*.f64 n n))))) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 #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))))) n)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))))) (/.f64 i n)))
(*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))) i))) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 n i) (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 n i) (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i) (*.f64 (fma.f64 (*.f64 n i) (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i) (-.f64 (*.f64 n n) (*.f64 (*.f64 (fma.f64 (*.f64 n i) (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i) n))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) n (*.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i)))) i)))
Outputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64)) 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 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

4 calls:

17.0ms
n
17.0ms
i
15.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
13.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
96.7%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
96.7%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)))
87.6%3i
92.5%3n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes27.0ms (0.3%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Counts
66 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (fma.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)) #s(literal 1/3 binary64)))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)))))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i)) (*.f64 n n)) (-.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 #s(literal -1/2 binary64) n))) i) (*.f64 #s(literal 1/6 binary64) n)) #s(literal 1/2 binary64)))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) #s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) i))) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.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)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) i) n))
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))) i))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
Outputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64)) i) n))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n)
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

2 calls:

12.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
12.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
96.7%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
96.7%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)

regimes26.0ms (0.3%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Counts
63 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (fma.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)) #s(literal 1/3 binary64)))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)))))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i)) (*.f64 n n)) (-.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 #s(literal -1/2 binary64) n))) i) (*.f64 #s(literal 1/6 binary64) n)) #s(literal 1/2 binary64)))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) #s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) i))) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.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)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) i) n))
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))) i))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
Outputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

2 calls:

11.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
11.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
96.7%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
96.7%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)

regimes35.0ms (0.4%)

Memory
-34.5MiB live, 16.0MiB allocated; 12ms collecting garbage
Counts
62 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (fma.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)) #s(literal 1/3 binary64)))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)))))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i)) (*.f64 n n)) (-.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 #s(literal -1/2 binary64) n))) i) (*.f64 #s(literal 1/6 binary64) n)) #s(literal 1/2 binary64)))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) #s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) i))) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.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)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) i) n))
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))) i))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i))
Outputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

2 calls:

21.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
11.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
96.6%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
96.6%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)

regimes52.0ms (0.6%)

Memory
28.3MiB live, 28.3MiB allocated; 0ms collecting garbage
Counts
60 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (fma.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)) #s(literal 1/3 binary64)))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)))))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i)) (*.f64 n n)) (-.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 #s(literal -1/2 binary64) n))) i) (*.f64 #s(literal 1/6 binary64) n)) #s(literal 1/2 binary64)))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) #s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) i))) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.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)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) i) n))
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))) i))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Calls

4 calls:

14.0ms
n
14.0ms
i
11.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
11.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
79.5%4i
84.1%4n
76.3%2(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
76.3%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)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes17.0ms (0.2%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Counts
58 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (fma.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)) #s(literal 1/3 binary64)))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)))))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i)) (*.f64 n n)) (-.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 #s(literal -1/2 binary64) n))) i) (*.f64 #s(literal 1/6 binary64) n)) #s(literal 1/2 binary64)))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) #s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) i))) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.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)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) i) n))
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))) i))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Calls

1 calls:

13.0ms
n
Results
AccuracySegmentsBranch
83.0%4n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.2%)

Memory
-38.8MiB live, 9.7MiB allocated; 1ms collecting garbage
Counts
57 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (fma.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)) #s(literal 1/3 binary64)))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)))))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i)) (*.f64 n n)) (-.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 #s(literal -1/2 binary64) n))) i) (*.f64 #s(literal 1/6 binary64) n)) #s(literal 1/2 binary64)))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) #s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) i))) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.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)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) i) n))
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))) i))) (*.f64 i i)))))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Calls

1 calls:

14.0ms
n
Results
AccuracySegmentsBranch
82.6%4n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.2%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Counts
49 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (fma.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)) #s(literal 1/3 binary64)))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)))))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i)) (*.f64 n n)) (-.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 #s(literal -1/2 binary64) n))) i) (*.f64 #s(literal 1/6 binary64) n)) #s(literal 1/2 binary64)))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) #s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) i))) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Calls

1 calls:

11.0ms
n
Results
AccuracySegmentsBranch
80.7%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Counts
42 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (fma.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)) #s(literal 1/3 binary64)))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)))))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i)) (*.f64 n n)) (-.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 #s(literal -1/2 binary64) n))) i) (*.f64 #s(literal 1/6 binary64) n)) #s(literal 1/2 binary64)))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) #s(approx (* (+ (* (- (* (/ i (* n n)) 1/3) (/ 1/2 n)) i) 1) i) i))) i) n))
Outputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Calls

1 calls:

10.0ms
n
Results
AccuracySegmentsBranch
80.7%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Counts
40 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (fma.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)) #s(literal 1/3 binary64)))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)))))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i)) (*.f64 n n)) (-.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 #s(literal -1/2 binary64) n))) i) (*.f64 #s(literal 1/6 binary64) n)) #s(literal 1/2 binary64)))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Calls

1 calls:

9.0ms
n
Results
AccuracySegmentsBranch
80.2%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes36.0ms (0.4%)

Memory
-26.9MiB live, 20.2MiB allocated; 1ms collecting garbage
Counts
39 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 #s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (fma.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)) #s(literal 1/3 binary64)))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* i 1) (* i (* (- 1/2 (/ 1/2 n)) i))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 #s(approx (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (*.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 n (/.f64 n i)))))) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i)) (*.f64 n n)) (-.f64 (*.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 #s(literal -1/2 binary64) n))) i) (*.f64 #s(literal 1/6 binary64) n)) #s(literal 1/2 binary64)))) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
Calls

4 calls:

9.0ms
n
9.0ms
i
8.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
7.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
58.3%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
58.3%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
60.2%3i
62.6%3n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes3.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
Calls

1 calls:

2.0ms
n
Results
AccuracySegmentsBranch
62.3%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) n)) i n)))
Calls

1 calls:

2.0ms
n
Results
AccuracySegmentsBranch
61.8%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
Calls

2 calls:

2.0ms
n
2.0ms
i
Results
AccuracySegmentsBranch
57.9%3i
59.6%3n
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) i n)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
Calls

4 calls:

2.0ms
n
2.0ms
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
49.5%1i
49.5%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
49.5%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
49.5%1n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes5.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.8b remaining (-2.2%)

Threshold costs -0.8b (-2.2%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) n) #s(literal -1/2 binary64))) i n)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

4 calls:

1.0ms
i
1.0ms
n
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
42.7%1n
42.7%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
42.7%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
42.7%1i
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-0.0
8.144410734525067e-259
0.0ms
-inf
-3.7792606994330856e-5
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-0.0
8.144410734525067e-259
0.0ms
-5.830494977632306e-28
-1.849825791969174e-37
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-0.0
8.144410734525067e-259
0.0ms
-9.024517382536234e-20
-8.711614767324848e-28
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-0.0
8.144410734525067e-259
0.0ms
-inf
-3.7792606994330856e-5
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch155.0ms (1.7%)

Memory
-7.5MiB live, 39.0MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
54.0ms
5.5882478087045275e-21
6.715814166909737e-13
44.0ms
9.906449596473389e-275
1.357336166398603e-263
45.0ms
-1.8022755659804385e-225
-7.331463526815593e-239
Samples
54.0ms141×2valid
34.0ms192×1valid
19.0ms334×0invalid
8.0ms128×0valid
2.0ms3valid
Compiler

Compiled 1 220 to 950 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-pow: 40.0ms (42.7% of total)
ival-div: 19.0ms (20.3% of total)
adjust: 15.0ms (16% of total)
ival-sub: 6.0ms (6.4% of total)
ival-mult: 6.0ms (6.4% of total)
ival-add: 6.0ms (6.4% of total)
ival-true: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)

bsearch68.0ms (0.7%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.5882478087045275e-21
6.715814166909737e-13
61.0ms
1.1419018122037063e-124
4.848643487642024e-113
1.0ms
-1.8022755659804385e-225
-7.331463526815593e-239
Samples
31.0ms57×2valid
16.0ms91×1valid
5.0ms82×0invalid
1.0ms12×0valid
Compiler

Compiled 2 439 to 1 552 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-pow: 25.0ms (55.8% of total)
adjust: 6.0ms (13.4% of total)
ival-div: 6.0ms (13.4% of total)
ival-sub: 2.0ms (4.5% of total)
ival-add: 2.0ms (4.5% of total)
ival-mult: 2.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch60.0ms (0.6%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.5882478087045275e-21
6.715814166909737e-13
53.0ms
6.471385866161732e-204
3.730764681008899e-198
1.0ms
-1.8022755659804385e-225
-7.331463526815593e-239
Samples
29.0ms70×2valid
6.0ms114×0invalid
6.0ms38×1valid
2.0ms36×0valid
Compiler

Compiled 2 245 to 1 434 computations (36.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-pow: 18.0ms (49.7% of total)
adjust: 6.0ms (16.6% of total)
ival-div: 6.0ms (16.6% of total)
ival-sub: 2.0ms (5.5% of total)
ival-add: 2.0ms (5.5% of total)
ival-mult: 2.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch51.0ms (0.5%)

Memory
-39.6MiB live, 9.7MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
46.0ms
8.435141151766e-93
4.447839086645334e-91
1.0ms
-1.8022755659804385e-225
-7.331463526815593e-239
Samples
21.0ms35×2valid
13.0ms69×1valid
3.0ms56×0invalid
0.0ms0valid
Compiler

Compiled 631 to 498 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-pow: 18.0ms (57% of total)
ival-div: 4.0ms (12.7% of total)
adjust: 4.0ms (12.7% of total)
ival-sub: 2.0ms (6.3% of total)
ival-mult: 2.0ms (6.3% of total)
ival-add: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.435141151766e-93
4.447839086645334e-91
1.0ms
-1.8022755659804385e-225
-7.331463526815593e-239
Compiler

Compiled 631 to 498 computations (21.1% saved)

bsearch120.0ms (1.3%)

Memory
20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
54.0ms
1.604370004573083e-8
4.214737403959653e-6
59.0ms
-1.3433303741513199e-44
-1.1126003265701561e-48
Samples
55.0ms80×2valid
31.0ms141×1valid
7.0ms117×0invalid
4.0ms3valid
2.0ms31×0valid
Compiler

Compiled 1 602 to 991 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-pow: 57.0ms (65.4% of total)
adjust: 10.0ms (11.5% of total)
ival-div: 9.0ms (10.3% of total)
ival-sub: 4.0ms (4.6% of total)
ival-mult: 4.0ms (4.6% of total)
ival-add: 3.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch96.0ms (1%)

Memory
-26.6MiB live, 19.9MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
8.435141151766e-93
4.447839086645334e-91
56.0ms
-5.088579500301202e-157
-1.7094102016563833e-171
Samples
39.0ms75×2valid
24.0ms135×1valid
8.0ms136×0invalid
2.0ms30×0valid
Compiler

Compiled 1 140 to 797 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-pow: 32.0ms (52.3% of total)
adjust: 9.0ms (14.7% of total)
ival-div: 9.0ms (14.7% of total)
ival-sub: 3.0ms (4.9% of total)
ival-add: 3.0ms (4.9% of total)
ival-mult: 3.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.604370004573083e-8
4.214737403959653e-6
2.0ms
-5.088579500301202e-157
-1.7094102016563833e-171
Samples
6.0ms27×1valid
4.0ms2valid
2.0ms30×0valid
2.0ms27×0invalid
Compiler

Compiled 2 286 to 1 419 computations (37.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-pow: 7.0ms (59.3% of total)
ival-div: 2.0ms (17% of total)
adjust: 1.0ms (8.5% of total)
ival-sub: 1.0ms (8.5% of total)
ival-add: 1.0ms (8.5% of total)
ival-mult: 1.0ms (8.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch63.0ms (0.7%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.604370004573083e-8
4.214737403959653e-6
59.0ms
-2.078391589118104e+157
-9.977335197226407e+142
Samples
26.0ms83×1valid
14.0ms16×2valid
7.0ms3valid
4.0ms56×0valid
Compiler

Compiled 2 376 to 1 455 computations (38.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-pow: 33.0ms (71.1% of total)
ival-div: 4.0ms (8.6% of total)
adjust: 4.0ms (8.6% of total)
ival-sub: 2.0ms (4.3% of total)
ival-mult: 2.0ms (4.3% of total)
ival-add: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch60.0ms (0.7%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.604370004573083e-8
4.214737403959653e-6
56.0ms
-2.078391589118104e+157
-9.977335197226407e+142
Samples
31.0ms88×1valid
15.0ms15×2valid
3.0ms41×0valid
Compiler

Compiled 2 340 to 1 437 computations (38.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-pow: 33.0ms (73.3% of total)
ival-div: 4.0ms (8.9% of total)
adjust: 4.0ms (8.9% of total)
ival-sub: 1.0ms (2.2% of total)
ival-add: 1.0ms (2.2% of total)
ival-mult: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify56.0ms (0.6%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02051677
12831655
24691655
312551643
448321643
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 -inf.0 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64)) 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 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)))))
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(if (<=.f64 n #s(literal -137527797678147/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n) (if (<=.f64 n #s(literal 4982400725946619/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n)))) (if (<=.f64 n #s(literal 7443676776395529/1329227995784915872903807060280344576 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n))) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))))))
(if (<=.f64 n #s(literal -137527797678147/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n) (if (<=.f64 n #s(literal 3816381697007479/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))))
(if (<=.f64 n #s(literal -137527797678147/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n)) (if (<=.f64 n #s(literal 3816381697007479/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))))
(if (<=.f64 n #s(literal -1968499104217263/200867255532373784442745261542645325315275374222849104412672 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) (if (<=.f64 n #s(literal 4958484807013127/1180591620717411303424 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n)))) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))))
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(if (<=.f64 n #s(literal -2998673360324155/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n))) (if (<=.f64 n #s(literal 1770887431076117/590295810358705651712 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n)))) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))))
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(if (<=.f64 n #s(literal -1460000000000000062874810948709428220902231206484832232118270708739743699003645628725306486354423297639426347209062663038543067986836511456245928909864960 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n))) (if (<=.f64 n #s(literal 1770887431076117/590295810358705651712 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n)))) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Outputs
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(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) n)) i n)))
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derivations346.0ms (3.8%)

Memory
-38.2MiB live, 9.1MiB allocated; 2ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 677 to 207 computations (87.7% saved)

preprocess81.0ms (0.9%)

Memory
7.7MiB live, 53.4MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 464 to 470 computations (86.4% saved)

end0.0ms (0%)

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

Profiling

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