Compound Interest

Time bar (total: 8.2s)

start0.0ms (0%)

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

analyze187.0ms (2.3%)

Memory
-10.2MiB live, 336.4MiB allocated; 65ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
39.1%39%60.9%0.1%0%0%0%7
44.5%44.5%55.4%0.1%0%0%0%8
55.3%55%44.5%0.1%0%0.4%0%9
59.3%58.7%40.4%0.1%0%0.8%0%10
65.5%64.5%34%0.1%0%1.5%0%11
67.8%66.6%31.6%0.1%0%1.8%0%12
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample3.8s (46.5%)

Memory
91.3MiB live, 5 592.3MiB allocated; 735ms collecting garbage
Samples
1.5s4 494×1valid
1.4s1 769×2valid
164.0ms1 944×0valid
108.0ms2 022×0invalid
100.0ms49×3valid
2.0ms15×1exit
Precisions
Click to see histograms. Total time spent on operations: 2.8s
ival-pow: 2.2s (77.1% of total)
ival-div!: 232.0ms (8.2% of total)
adjust: 215.0ms (7.6% of total)
ival-mult!: 94.0ms (3.3% of total)
ival-add!: 56.0ms (2% of total)
ival-sub!: 55.0ms (1.9% of total)
Bogosity

explain463.0ms (5.6%)

Memory
-12.6MiB live, 423.6MiB allocated; 79ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1890-0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
5397(4.095944458415384e-142 -4.1130767933248914e+114)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
430-1(-4.096614250869438e-54 -1.5447315526075852e+263)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
30-3(1.526715686326097e+69 4.857307617454626e-128)(*.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))cancellation1890
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1340
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u420
(/.f64 i n)underflow42
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)overflow27
(/.f64 i n)overflow16
(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow16
Confusion
Predicted +Predicted -
+1930
-3132
Precision
0.8616071428571429
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+19300
-31032
Precision?
0.8616071428571429
Recall?
1.0
Freqs
test
numberfreq
032
1109
273
342
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
264.0ms166×2valid
85.0ms282×1valid
5.0ms64×0valid
Compiler

Compiled 131 to 34 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 273.0ms
ival-pow: 157.0ms (57.5% of total)
ival-div!: 86.0ms (31.5% of total)
adjust: 14.0ms (5.1% of total)
ival-mult!: 10.0ms (3.7% of total)
ival-add!: 3.0ms (1.1% of total)
ival-sub!: 3.0ms (1.1% of total)

preprocess203.0ms (2.5%)

Memory
22.6MiB live, 250.9MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

series51.0ms (0.6%)

Memory
-47.9MiB live, 103.0MiB allocated; 11ms 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
26.0ms
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)
6.0ms
i
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
5.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
4.0ms
n
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
3.0ms
n
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)

rewrite202.0ms (2.5%)

Memory
53.6MiB live, 285.1MiB allocated; 37ms 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
-11.4MiB live, 43.2MiB allocated; 5ms collecting garbage
Compiler

Compiled 5 640 to 838 computations (85.1% saved)

prune13.0ms (0.2%)

Memory
-13.0MiB live, 33.9MiB allocated; 3ms collecting garbage
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New12315138
Fresh000
Picked101
Done000
Total12415139
Accuracy
99.9%
Counts
139 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.9%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
75.9%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
34.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
17.7%
(*.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)))
42.5%
(*.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)))
12.3%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
61.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
44.4%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
76.0%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
56.7%
(*.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)))
73.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
12.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
54.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
54.2%
#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))))
11.8%
#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 700 to 456 computations (34.9% saved)

series204.0ms (2.5%)

Memory
-12.0MiB live, 458.1MiB allocated; 46ms collecting garbage
Counts
29 → 252
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 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
(*.f64 n n)
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
(log.f64 n)
Outputs
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 n))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 1))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ i n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx i #s(hole binary64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (- (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 (- (exp i) 1) #s(hole binary64 i))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (log n))) i)))
#s(approx (/ (- (log i) (log n)) i) #s(hole binary64 (/ (- (log i) (log n)) i)))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (log n))))
#s(approx (log i) #s(hole binary64 (log i)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
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#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))))
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#s(approx (* (* n n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (+ (log -1) (* -1 (log (/ -1 i)))) (log n))) i)))
#s(approx (/ (- (log i) (log n)) i) #s(hole binary64 (/ (- (+ (log -1) (* -1 (log (/ -1 i)))) (log n)) i)))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ -1 i)))) (log n))))
#s(approx (log i) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (* n (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (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))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (/ n i))))))
#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))))
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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 (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 (* n n) #s(hole binary64 (pow n 2)))
#s(approx (log n) #s(hole binary64 (log n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
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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) (+ (* 1/8 (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 (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (* -1 (log (/ 1 n))))) i)))
#s(approx (/ (- (log i) (log n)) i) #s(hole binary64 (/ (- (log i) (* -1 (log (/ 1 n)))) i)))
#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 (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)))
#s(approx (/ (- (log i) (log n)) i) #s(hole binary64 (/ (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) i)))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
Calls

6 calls:

TimeVariablePointExpression
49.0ms
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) (pow (+ 1 (/ i n)) n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (- (log i) (log n)) i)) (* n n) (/ (- (log i) (log n)) i) (- (log i) (log n)) (log i) (log n))
48.0ms
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) (pow (+ 1 (/ i n)) n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (- (log i) (log n)) i)) (* n n) (/ (- (log i) (log n)) i) (- (log i) (log n)) (log i) (log n))
36.0ms
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) (pow (+ 1 (/ i n)) n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (- (log i) (log n)) i)) (* n n) (/ (- (log i) (log n)) i) (- (log i) (log n)) (log i) (log n))
26.0ms
n
@0
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (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) (pow (+ 1 (/ i n)) n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (- (log i) (log n)) i)) (* n n) (/ (- (log i) (log n)) i) (- (log i) (log n)) (log i) (log n))
18.0ms
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) (pow (+ 1 (/ i n)) n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (- (log i) (log n)) i)) (* n n) (/ (- (log i) (log n)) i) (- (log i) (log n)) (log i) (log n))

rewrite378.0ms (4.6%)

Memory
9.7MiB live, 343.7MiB allocated; 173ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106112582
0109211349
1647911340
0863310741
Stop Event
iter-limit
node-limit
iter-limit
Counts
281 → 333
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 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
(*.f64 n n)
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
(log.f64 n)
#s(approx (* 100 (* (/ (- (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 (+ 1 (/ i n)) n) 1) #s(hole binary64 i))
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#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 (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (* -1 (log (/ 1 n))))) i)))
#s(approx (/ (- (log i) (log n)) i) #s(hole binary64 (/ (- (log i) (* -1 (log (/ 1 n)))) i)))
#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 (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)))
#s(approx (/ (- (log i) (log n)) i) #s(hole binary64 (/ (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) i)))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
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 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i)
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i
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(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 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 (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
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(expm1.f64 i)
(-.f64 (exp.f64 i) #s(literal 1 binary64))
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(-.f64 (log.f64 i) (log.f64 n))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
#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))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 1 binary64))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) i (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) i)
#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))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) i (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (* (log (+ 1 (/ i n))) n) i)
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) #s(literal 1 binary64)) i))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64))) i) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (log (+ 1 (/ i n))) (/.f64 i n))
#s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (pow.f64 n #s(literal -1 binary64))) i))
#s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -2 binary64)))) i (pow.f64 n #s(literal -1 binary64))) i))
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#s(approx (/ i n) (/.f64 i n))
#s(approx i i)
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) i)
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) i (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
#s(approx (- (exp i) 1) i)
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n)))
#s(approx (/ (- (log i) (log n)) i) (/.f64 (log.f64 (/.f64 i n)) i))
#s(approx (- (log i) (log n)) (log.f64 (/.f64 i n)))
#s(approx (log i) (log.f64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i)))) i))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (fma.f64 n (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (fma.f64 n (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 i i)) (fma.f64 n (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i)))) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) i) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i)) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)) i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)))
#s(approx (- (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 n) (neg.f64 (neg.f64 (log.f64 i))))) i) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)))
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#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n (/.f64 (*.f64 n n) i)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n (/.f64 (*.f64 n n) i))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n (/.f64 (*.f64 n n) i)))))
#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))
#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (log.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (/.f64 n i))))
#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (log.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 n n) (*.f64 i i)) #s(literal -1/2 binary64) (/.f64 n i)))))
#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (log.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 n n) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (/.f64 n i) #s(literal 3 binary64)) #s(literal 1/3 binary64) (/.f64 n i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i)))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n) #s(literal 100 binary64) (fma.f64 (*.f64 n (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 i i))) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i))))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (fma.f64 n (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (fma.f64 n (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 i i)) (fma.f64 n (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i)))) i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)))
#s(approx (- (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 n) (neg.f64 (neg.f64 (log.f64 i))))) i) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i)) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)))
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#s(approx (pow (+ 1 (/ i n)) n) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) i) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i)) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))))
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#s(approx (- (exp i) 1) (expm1.f64 i))
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#s(approx (/ (- (log i) (log n)) i) (/.f64 (log.f64 (/.f64 (pow.f64 i #s(literal 1 binary64)) n)) i))
#s(approx (- (log i) (log n)) (log.f64 (/.f64 (pow.f64 i #s(literal 1 binary64)) n)))
#s(approx (log i) (neg.f64 (neg.f64 (log.f64 i))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) i)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) i))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n))) i))) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n) (neg.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i) (neg.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64))))))) i))) i) #s(literal -1 binary64) (neg.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)))) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n))) i)) #s(literal -1 binary64) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n) (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)))) i))) i) #s(literal -1 binary64) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (/.f64 (*.f64 n n) i)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) i) #s(literal 1/2 binary64) (neg.f64 (*.f64 n n))) i))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) i) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) #s(literal -1 binary64) (neg.f64 (*.f64 n n))) i))))
#s(approx (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))))
#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 (fma.f64 (/.f64 (*.f64 n n) i) #s(literal 1/2 binary64) (neg.f64 n)) i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) i)) #s(literal 100 binary64)))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) n (*.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i)))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) n (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (pow.f64 n #s(literal 3 binary64)) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i)))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) n (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (pow.f64 n #s(literal 3 binary64)) (neg.f64 (/.f64 (fma.f64 (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 (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n))) i)) #s(literal -1 binary64) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n) (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)))) i))) i) #s(literal -1 binary64) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n))) i)) #s(literal -1 binary64) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n) (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)))) i))) i) #s(literal -1 binary64) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) (/.f64 (*.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 n)) (*.f64 n n)) i))
#s(approx (/ (- (log i) (log n)) i) (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 n)) i))
#s(approx (- (log i) (log n)) (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 n)))
#s(approx (log i) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (* 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 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 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 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))))))) n (*.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 100 binary64))) n (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #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 (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 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 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 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #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 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 #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 (- (pow (+ 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 (- (pow (+ 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) (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 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))))) n (/.f64 (log.f64 i) i)))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i)) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 n (*.f64 i i)) #s(literal -1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 i #s(literal 3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) n (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i)) (log.f64 i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 (fma.f64 (/.f64 n (*.f64 i i)) #s(literal -1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 i #s(literal 3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) n (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)))
#s(approx n n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 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 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))))))) n (*.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 100 binary64))) n (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #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 (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 #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 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 #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 (- (pow (+ 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 (- (pow (+ 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) (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 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))))) n (/.f64 (log.f64 i) i)))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(literal -1 binary64) (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 (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(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.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(literal 1 binary64)))
#s(approx (* n n) (*.f64 n n))
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (expm1.f64 i) i)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (pow.f64 n #s(literal 3 binary64)) i)) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (exp.f64 i) i))) (pow.f64 i #s(literal -1 binary64))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (-.f64 (+.f64 (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 (*.f64 n n) i))) (/.f64 (exp.f64 i) i)) (pow.f64 i #s(literal -1 binary64)))) n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (-.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (exp.f64 i) i))) (pow.f64 i #s(literal -1 binary64))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (-.f64 (+.f64 (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 (*.f64 n n) i))) (/.f64 (exp.f64 i) i)) (pow.f64 i #s(literal -1 binary64)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n)))) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i) (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 n n))))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 n n)))) i))
#s(approx (log (+ 1 (/ i n))) (/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i) n))
#s(approx (log (+ 1 (/ i n))) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i) (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 n n))) n))
#s(approx (log (+ 1 (/ i n))) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 n n)))) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (expm1.f64 i) i)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (pow.f64 n #s(literal 3 binary64)) i)) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (exp.f64 i) i))) (pow.f64 i #s(literal -1 binary64))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (-.f64 (+.f64 (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 (*.f64 n n) i))) (/.f64 (exp.f64 i) i)) (pow.f64 i #s(literal -1 binary64)))) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n)))) #s(literal 1 binary64)))
#s(approx (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 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n)))))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))
#s(approx (/ (- (log i) (log n)) i) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i))
#s(approx (- (log i) (log n)) (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)))
#s(approx (log n) (*.f64 #s(literal 1 binary64) (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 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)))) n))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) n) #s(literal -1 binary64) (/.f64 (expm1.f64 i) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (neg.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (/.f64 (expm1.f64 i) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal -1/3 binary64) (*.f64 (*.f64 i i) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) i))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal -1/4 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n))) n) #s(literal -1 binary64) i))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) n)))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 1/3 binary64) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n))) n)))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n))) n) #s(literal -1 binary64) (neg.f64 i)) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) n))) n)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)))) n))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) n) #s(literal -1 binary64) (exp.f64 i)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (exp.f64 i)))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n)) i))
#s(approx (/ (- (log i) (log n)) i) (/.f64 (-.f64 (log.f64 (/.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) i))
#s(approx (- (log i) (log n)) (-.f64 (log.f64 (/.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))))
#s(approx (log n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))

eval34.0ms (0.4%)

Memory
29.5MiB live, 75.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 11 122 to 1 644 computations (85.2% saved)

prune57.0ms (0.7%)

Memory
-15.7MiB live, 40.9MiB allocated; 8ms collecting garbage
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New28813301
Fresh3710
Picked235
Done000
Total29323316
Accuracy
100.0%
Counts
316 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.9%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
61.8%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
75.9%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
18.1%
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
76.1%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
15.1%
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n))) #s(literal 100 binary64))
12.3%
(*.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)))
45.2%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
44.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
44.4%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
44.4%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
27.8%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
76.0%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
77.3%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
12.2%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n)) i) n))
56.7%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
56.7%
(*.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)))
73.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
12.2%
(*.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))))
16.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i)))))
54.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
54.2%
#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))))
11.8%
#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 1 037 to 692 computations (33.3% saved)

series62.0ms (0.8%)

Memory
-5.7MiB live, 85.5MiB allocated; 7ms collecting garbage
Counts
41 → 397
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
#s(literal 100 binary64)
(*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n)
(/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)
(expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))
#s(approx (* (log (+ 1 (/ i n))) n) i)
i
n
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n)
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))
#s(literal 1/2 binary64)
(/.f64 i n)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
#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))))
(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) (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)))
(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 #s(literal 1/2 binary64) n)
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 n #s(literal 100 binary64))
Outputs
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 n))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 1))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx i #s(hole binary64 i))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* 100 n)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #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 (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #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) i) #s(hole binary64 1))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (pow (+ 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 (/ (- (pow (+ 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 (- (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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (- (exp i) 1) #s(hole binary64 i))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))))
#s(approx (* (+ (* 1/2 i) 1) i) #s(hole binary64 i))
#s(approx (* (+ (* 1/2 i) 1) i) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (+ (* 1/2 i) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (/ i n) #s(hole binary64 (/ 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 (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (* 100 i)))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (- (pow (+ 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 (- (pow (+ 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 (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* 100 n)))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #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 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (+ (* 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 (+ (* (* 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 (* n i) #s(hole binary64 (* 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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) i)))
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#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (/ n i))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
#s(approx n #s(hole binary64 n))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
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#s(approx (* (/ (- (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) i) #s(hole binary64 (/ (* n (+ (log i) (* -1 (log n)))) i)))
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#s(approx (/ (- (pow (+ 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 (/ (- (pow (+ 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 (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
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#s(approx (- (pow (+ 1 (/ i n)) n) 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)))))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
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#s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
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#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (/ (+ (* 100/3 (pow i 2)) (* n (+ (* 100 (* i (- (* -1/2 i) 1/2))) (* n (+ 100 (* 100 (* i (+ 1/2 (* 1/6 i))))))))) n)))
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#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (/ (+ (* 100/3 i) (* n (+ (* 100 (* n (+ 1/2 (* 1/6 i)))) (* 100 (- (* -1/2 i) 1/2))))) n)))
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#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #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 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 -1/2))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (- (* 1/2 n) 1/2)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#s(approx (* n 100) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
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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 (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
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#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #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) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 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 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
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#s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (pow (+ 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 (- (pow (+ 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 (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* n (+ 100 (* 100 (* i (+ 1/2 (* 1/6 i))))))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* n (+ 100 (+ (* 100 (* i (+ 1/2 (* 1/6 i)))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* n (+ 100 (+ (* 100/3 (/ (pow i 2) (pow n 2))) (+ (* 100 (* i (+ 1/2 (* 1/6 i)))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n))))))))
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#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* n (+ (* 100 (+ 1/2 (* 1/6 i))) (* 100 (/ (- (* -1/2 i) 1/2) n))))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* n (+ (* 100/3 (/ i (pow n 2))) (+ (* 100 (+ 1/2 (* 1/6 i))) (* 100 (/ (- (* -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 (- 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 (* (/ (- (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 (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (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) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (* 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 (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (pow (+ 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 (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* -1 (* n (- (* 100 (* i (- (* -1/6 i) 1/2))) 100)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* -1 (* n (- (+ (* -100 (/ (* i (- (* -1/2 i) 1/2)) n)) (* 100 (* i (- (* -1/6 i) 1/2)))) 100)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 100/3 (/ (pow i 2) n)) (* 100 (* i (- (* -1/2 i) 1/2)))) n)) (* 100 (* i (- (* -1/6 i) 1/2)))) 100)))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* -100 (* n (- (* -1/6 i) 1/2)))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* -1/2 i) 1/2) n)) (* 100 (- (* -1/6 i) 1/2)))))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* 100/3 (/ i n)) (* 100 (- (* -1/2 i) 1/2))) n)) (* 100 (- (* -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 (- (* -1/6 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)))))
Calls

6 calls:

TimeVariablePointExpression
21.0ms
i
@inf
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) i n (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* (+ (* 1/2 i) 1) i) (+ (* 1/2 i) 1) 1/2 (/ i n) (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (* 100 (+ (* (* 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))) (* (- 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 n) (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (* n 100))
6.0ms
n
@inf
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) i n (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* (+ (* 1/2 i) 1) i) (+ (* 1/2 i) 1) 1/2 (/ i n) (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (* 100 (+ (* (* 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))) (* (- 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 n) (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (* n 100))
6.0ms
i
@-inf
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) i n (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* (+ (* 1/2 i) 1) i) (+ (* 1/2 i) 1) 1/2 (/ i n) (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (* 100 (+ (* (* 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))) (* (- 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 n) (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (* n 100))
5.0ms
n
@0
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) i n (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* (+ (* 1/2 i) 1) i) (+ (* 1/2 i) 1) 1/2 (/ i n) (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (* 100 (+ (* (* 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))) (* (- 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 n) (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (* n 100))
5.0ms
n
@-inf
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) i n (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* (+ (* 1/2 i) 1) i) (+ (* 1/2 i) 1) 1/2 (/ i n) (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (* 100 (+ (* (* 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))) (* (- 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 n) (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (* n 100))

rewrite250.0ms (3%)

Memory
6.7MiB live, 345.0MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139322060
0143420038
0813318467
Stop Event
iter-limit
node-limit
iter-limit
Counts
438 → 545
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
#s(literal 100 binary64)
(*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n)
(/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)
(expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))
#s(approx (* (log (+ 1 (/ i n))) n) i)
i
n
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n)
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))
#s(literal 1/2 binary64)
(/.f64 i n)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
#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))))
(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) (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)))
(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 #s(literal 1/2 binary64) n)
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 n #s(literal 100 binary64))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 n))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 1))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx i #s(hole binary64 i))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* 100 n)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #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 (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #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) i) #s(hole binary64 1))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (pow (+ 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 (/ (- (pow (+ 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 (- (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 (* 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)))))))))
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#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (/ (+ (* 100/3 i) (* n (+ (* 100 (* n (+ 1/2 (* 1/6 i)))) (* 100 (- (* -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))))
#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 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 -1/2))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (- (* 1/2 n) 1/2)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#s(approx (* n 100) #s(hole binary64 (* 100 n)))
#s(approx (* 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 (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #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 (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #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) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 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 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (pow (+ 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 (- (pow (+ 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 (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* n (+ 100 (* 100 (* i (+ 1/2 (* 1/6 i))))))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* n (+ 100 (+ (* 100 (* i (+ 1/2 (* 1/6 i)))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* n (+ 100 (+ (* 100/3 (/ (pow i 2) (pow n 2))) (+ (* 100 (* i (+ 1/2 (* 1/6 i)))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n))))))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* 100 (* n (+ 1/2 (* 1/6 i))))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* n (+ (* 100 (+ 1/2 (* 1/6 i))) (* 100 (/ (- (* -1/2 i) 1/2) n))))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* n (+ (* 100/3 (/ i (pow n 2))) (+ (* 100 (+ 1/2 (* 1/6 i))) (* 100 (/ (- (* -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 (- 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 (* (/ (- (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 (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (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) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (* 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 (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (pow (+ 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 (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* -1 (* n (- (* 100 (* i (- (* -1/6 i) 1/2))) 100)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* -1 (* n (- (+ (* -100 (/ (* i (- (* -1/2 i) 1/2)) n)) (* 100 (* i (- (* -1/6 i) 1/2)))) 100)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 100/3 (/ (pow i 2) n)) (* 100 (* i (- (* -1/2 i) 1/2)))) n)) (* 100 (* i (- (* -1/6 i) 1/2)))) 100)))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* -100 (* n (- (* -1/6 i) 1/2)))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* -1/2 i) 1/2) n)) (* 100 (- (* -1/6 i) 1/2)))))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* 100/3 (/ i n)) (* 100 (- (* -1/2 i) 1/2))) n)) (* 100 (- (* -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 (- (* -1/6 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)))))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
#s(literal 100 binary64)
(*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n)
(*.f64 n (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i))
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) n) i)
(/.f64 (neg.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (neg.f64 i))
(/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)
(-.f64 (/.f64 (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) (pow.f64 i #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) #s(literal 1 binary64)) (+.f64 (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) #s(literal 1 binary64)))
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(expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))
(-.f64 (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) #s(literal 1 binary64))
#s(approx (* (log (+ 1 (/ i n))) n) i)
i
n
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n)
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(/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) n) i)
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(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) 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) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)))) (/.f64 i n))
(*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i) n)
(/.f64 (neg.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)))) (neg.f64 (/.f64 i n)))
(/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)
(*.f64 i (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))
(fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 #s(literal 1/2 binary64) i)))
(fma.f64 #s(literal 1 binary64) i (*.f64 (*.f64 #s(literal 1/2 binary64) i) i))
(+.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 i (*.f64 #s(literal 1/2 binary64) i)))
(+.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 #s(literal 1/2 binary64) i) i))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) i))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) i)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) i)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) i) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))
(fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i))
(+.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 i) (neg.f64 n))
(/.f64 i n)
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (neg.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64))) (neg.f64 (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)))
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(/.f64 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) #s(literal 1 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
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(expm1.f64 i)
(-.f64 (exp.f64 i) #s(literal 1 binary64))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 11/24 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 (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)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
#s(approx (- (exp i) 1) i)
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))
#s(approx (* (+ (* 1/2 i) 1) i) i)
#s(approx (* (+ (* 1/2 i) 1) i) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
#s(approx (+ (* 1/2 i) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 i) 1) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))
#s(approx (/ i n) (/.f64 i n))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (fma.f64 (*.f64 (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)) #s(literal 100 binary64)) i (*.f64 n #s(literal 100 binary64))))
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#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i #s(literal 100 binary64)))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64)) i))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (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))) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 11/24 binary64) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) i (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))))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64))) i #s(literal 100 binary64)) i))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 n #s(literal 100 binary64)))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (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)) #s(literal 100 binary64)) i (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64)))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.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)) #s(literal 100 binary64)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #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)) (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)))
#s(approx (* n i) (*.f64 n i))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n))) i))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i))) i))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) n) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) i) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i))))))) i))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) n) #s(literal 100 binary64) (fma.f64 (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)))) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) i) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))))))))) i))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 n (/.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i)) i))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) i) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)))))) i))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (fma.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i))) (fma.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) i) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))))))) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) i) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i)) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i))) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)) i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) i) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i)) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i))) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n (/.f64 (*.f64 n n) i)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n (/.f64 (*.f64 n n) i))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/3 binary64) (fma.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n (/.f64 (*.f64 n n) i)))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n))) i))
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#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) #s(literal 100 binary64)))
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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 (*.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)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) 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 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i)) i))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (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)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (neg.f64 (/.f64 (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)) #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 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))))) i)) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n))) i))) i)))
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#s(approx (- (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)))
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#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (/.f64 (*.f64 n n) i)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) i) #s(literal 1/2 binary64) (neg.f64 (*.f64 n n))) i))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) i) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) #s(literal -1 binary64) (neg.f64 (*.f64 n n))) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) i)) #s(literal 100 binary64)))
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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 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i)))) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) n (/.f64 (fma.f64 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 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)) (neg.f64 (*.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64))))))) i))) i))) i)))
#s(approx (/ (- (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))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (neg.f64 (/.f64 (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)) #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 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))))) i)) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n))) i))) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n) (neg.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i) (neg.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64))))))) i))) i) #s(literal -1 binary64) (neg.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)))) i)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n))) i)) #s(literal -1 binary64) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n) (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)))) i))) i) #s(literal -1 binary64) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n))) i)) #s(literal -1 binary64) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n) (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)))) i))) i) #s(literal -1 binary64) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) i)) #s(literal 100 binary64)))
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#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) i)) #s(literal 100 binary64)))
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#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (neg.f64 (/.f64 (fma.f64 (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i))) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal -100 binary64) n) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64))))))) i))) i))) i)))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) #s(literal 100 binary64)))
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#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (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)) #s(literal 100 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.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))))
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#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (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 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i))) i)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (*.f64 (*.f64 n n) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) n (*.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i) #s(literal 100 binary64))) (*.f64 n n)))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (*.f64 n n) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (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)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 i) i))) n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))))))) n (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i)) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/3 binary64))))) n (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (/.f64 n i)) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 n (*.f64 i i)) #s(literal -1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 i #s(literal 3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) n (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx n n)
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (*.f64 (*.f64 n n) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) n (*.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))))))) n (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))))) n (*.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 100 binary64))) n (*.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (*.f64 n n) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (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 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))))))) n (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 i) i))) n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))))))) n (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i)) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/3 binary64))))) n (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n #s(literal 1 binary64)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (*.f64 (*.f64 n n) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) n (*.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i) #s(literal 100 binary64))) (*.f64 n n)))
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#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)))) n))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))) n (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))))) n (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 100 binary64))) n))
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#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64)))
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#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 #s(literal 100/3 binary64) (/.f64 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)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))
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#s(approx (pow n -2) (pow.f64 n #s(literal -2 binary64)))
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#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64))
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#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 (* n 100) (*.f64 n #s(literal 100 binary64)))
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#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 (- 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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (*.f64 (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64))) n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) n))) n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) n))) n))) n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)))) n))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) n) #s(literal -1 binary64) (/.f64 (expm1.f64 i) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (neg.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (/.f64 (expm1.f64 i) i)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal -1/3 binary64) (*.f64 (*.f64 i i) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) i))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal -1/4 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n))) n) #s(literal -1 binary64) i))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (*.f64 (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64))) n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) n))) n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) n))) n))) n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)))) n))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) n) #s(literal -1 binary64) (/.f64 (expm1.f64 i) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (neg.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (/.f64 (expm1.f64 i) i)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) n) #s(literal -1 binary64) (exp.f64 i)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (exp.f64 i)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (*.f64 (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64))) n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) n))) n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) n))) n))) n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)))) n))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (*.f64 (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64))) n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) n))) n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) n))) n))) n)))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (expm1.f64 i) #s(literal 100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 50 binary64) (*.f64 i i)) (exp.f64 i))) n))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (expm1.f64 i) #s(literal 100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 50 binary64) (*.f64 i i)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))))) n))) n))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) i) #s(literal 100 binary64)) #s(literal 100 binary64)) n)))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n) #s(literal -100 binary64) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) i) #s(literal 100 binary64)) #s(literal 100 binary64))) n)))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) i) #s(literal 100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))) n))) #s(literal 100 binary64)) n)))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) n) #s(literal -100 binary64)))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (neg.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) #s(literal -100 binary64))) n)))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (neg.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) #s(literal 100 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) #s(literal 100 binary64) (*.f64 #s(literal 100/3 binary64) (/.f64 i n))) n))) n)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (neg.f64 (*.f64 (-.f64 (*.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)) (neg.f64 (*.f64 (-.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)) n)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (neg.f64 (*.f64 (-.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)) n)))
#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) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)))

eval63.0ms (0.8%)

Memory
17.0MiB live, 158.0MiB allocated; 13ms collecting garbage
Compiler

Compiled 20 499 to 2 296 computations (88.8% saved)

prune46.0ms (0.6%)

Memory
16.3MiB live, 94.6MiB allocated; 24ms collecting garbage
Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New41916435
Fresh41115
Picked325
Done033
Total42632458
Accuracy
100.0%
Counts
458 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.9%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
61.8%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
44.3%
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i #s(literal 100 binary64))) (/.f64 i n))
77.2%
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
75.9%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
18.1%
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
76.1%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
15.1%
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n))) #s(literal 100 binary64))
73.7%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) n) i))
12.3%
(*.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)))
45.2%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
44.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
13.3%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) (/.f64 i n)))
27.8%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
76.0%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
12.2%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n)) i) n))
58.5%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i) n))
56.7%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
12.2%
(*.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))))
16.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i)))))
54.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
58.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 n #s(literal 100 binary64))))
41.7%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 n #s(literal 100 binary64))))
55.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 n #s(literal 100 binary64))))
58.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 #s(literal 100 binary64))))
56.7%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 n #s(literal 100 binary64))))
53.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 #s(literal 100/3 binary64) (/.f64 i n))) i (*.f64 n #s(literal 100 binary64))))
54.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 n #s(literal 100 binary64) (*.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)) #s(literal 100 binary64)) i)))
39.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) #s(literal 100 binary64))) n (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n)))
6.7%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i) #s(literal 100 binary64) (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n)))
58.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n)))
7.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
Compiler

Compiled 2 072 to 1 366 computations (34.1% saved)

series242.0ms (2.9%)

Memory
6.7MiB live, 335.0MiB allocated; 129ms collecting garbage
Counts
41 → 324
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))
(expm1.f64 i)
i
#s(literal 100 binary64)
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64)))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 i i) n)
(*.f64 i i)
#s(literal 100/3 binary64)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i) n))
(*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i) n)
(/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i)
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 n #s(literal 100 binary64))))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.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) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 n i)
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) n)
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n))) #s(literal 100 binary64))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n)))
(*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n))
(/.f64 (log.f64 (/.f64 i n)) i)
(log.f64 (/.f64 i n))
(/.f64 i n)
(*.f64 n n)
Outputs
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (* 100 n)))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 100))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* 100 i)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp i) 1) #s(hole binary64 i))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))))
#s(approx i #s(hole binary64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
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#s(approx (+ (* 1/2 i) 1) #s(hole binary64 (* i (+ 1/2 (/ 1 i)))))
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#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
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#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (* n 100) #s(hole binary64 (* 100 n)))
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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 (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* 100 (* n (+ 1/2 (* 1/6 i))))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* n (+ (* 100 (+ 1/2 (* 1/6 i))) (* 100 (/ (- (* -1/2 i) 1/2) n))))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* n (+ (* 100/3 (/ i (pow n 2))) (+ (* 100 (+ 1/2 (* 1/6 i))) (* 100 (/ (- (* -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 (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* 1/2 n)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* n (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) #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 (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) #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 (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* -1 (* n (- (* 100 (* i (- (* -1/6 i) 1/2))) 100)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* -1 (* n (- (+ (* -100 (/ (* i (- (* -1/2 i) 1/2)) n)) (* 100 (* i (- (* -1/6 i) 1/2)))) 100)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 100/3 (/ (pow i 2) n)) (* 100 (* i (- (* -1/2 i) 1/2)))) n)) (* 100 (* i (- (* -1/6 i) 1/2)))) 100)))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* -100 (* n (- (* -1/6 i) 1/2)))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* -1/2 i) 1/2) n)) (* 100 (- (* -1/6 i) 1/2)))))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* 100/3 (/ i n)) (* 100 (- (* -1/2 i) 1/2))) n)) (* 100 (- (* -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 (- (* -1/6 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 (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (log (/ i n)) i) (* n n)) #s(hole binary64 (/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i)))
#s(approx (/ (log (/ i n)) i) #s(hole binary64 (/ (+ (log (* -1 i)) (log (/ -1 n))) i)))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (* -1 i)) (log (/ -1 n)))))
Calls

6 calls:

TimeVariablePointExpression
106.0ms
i
@-inf
((* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (- (exp i) 1) i 100 n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (* (/ (* i i) n) 100/3) (/ (* i i) n) (* i i) 100/3 (* 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) (- (exp i) 1) (* (+ (* 1/2 i) 1) i) (+ (* 1/2 i) 1) 1/2 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (* 100 (+ (* (* 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))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) 1/6 (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (/ 1/2 n) (* n 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (log (/ i n)) i) (* n n)) (/ (log (/ i n)) i) (log (/ i n)) (/ i n) (* n n))
45.0ms
i
@inf
((* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (- (exp i) 1) i 100 n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (* (/ (* i i) n) 100/3) (/ (* i i) n) (* i i) 100/3 (* 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) (- (exp i) 1) (* (+ (* 1/2 i) 1) i) (+ (* 1/2 i) 1) 1/2 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (* 100 (+ (* (* 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))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) 1/6 (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (/ 1/2 n) (* n 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (log (/ i n)) i) (* n n)) (/ (log (/ i n)) i) (log (/ i n)) (/ i n) (* n n))
35.0ms
i
@0
((* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (- (exp i) 1) i 100 n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (* (/ (* i i) n) 100/3) (/ (* i i) n) (* i i) 100/3 (* 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) (- (exp i) 1) (* (+ (* 1/2 i) 1) i) (+ (* 1/2 i) 1) 1/2 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (* 100 (+ (* (* 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))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) 1/6 (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (/ 1/2 n) (* n 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (log (/ i n)) i) (* n n)) (/ (log (/ i n)) i) (log (/ i n)) (/ i n) (* n n))
19.0ms
n
@-inf
((* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (- (exp i) 1) i 100 n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (* (/ (* i i) n) 100/3) (/ (* i i) n) (* i i) 100/3 (* 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) (- (exp i) 1) (* (+ (* 1/2 i) 1) i) (+ (* 1/2 i) 1) 1/2 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (* 100 (+ (* (* 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))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) 1/6 (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (/ 1/2 n) (* n 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (log (/ i n)) i) (* n n)) (/ (log (/ i n)) i) (log (/ i n)) (/ i n) (* n n))
14.0ms
n
@inf
((* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (- (exp i) 1) i 100 n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (* (/ (* i i) n) 100/3) (/ (* i i) n) (* i i) 100/3 (* 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) (- (exp i) 1) (* (+ (* 1/2 i) 1) i) (+ (* 1/2 i) 1) 1/2 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (* 100 (+ (* (* 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))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) 1/6 (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (/ 1/2 n) (* n 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (log (/ i n)) i) (* n n)) (/ (log (/ i n)) i) (log (/ i n)) (/ i n) (* n n))

rewrite387.0ms (4.7%)

Memory
-28.8MiB live, 301.0MiB allocated; 125ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130218476
0133716686
1774716686
0923815267
Stop Event
iter-limit
node-limit
iter-limit
Counts
365 → 447
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))
(expm1.f64 i)
i
#s(literal 100 binary64)
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
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(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
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#s(approx (* i i) #s(hole binary64 (pow i 2)))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (+ n (* i (* 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 (* n (- (* 1/6 n) 1/2))) (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 (- 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 100) #s(hole binary64 (* 100 n)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
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#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 1/6))
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#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)))))
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#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* -1 (* n (- (* 100 (* i (- (* -1/6 i) 1/2))) 100)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* -1 (* n (- (+ (* -100 (/ (* i (- (* -1/2 i) 1/2)) n)) (* 100 (* i (- (* -1/6 i) 1/2)))) 100)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 100/3 (/ (pow i 2) n)) (* 100 (* i (- (* -1/2 i) 1/2)))) n)) (* 100 (* i (- (* -1/6 i) 1/2)))) 100)))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* -100 (* n (- (* -1/6 i) 1/2)))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* -1/2 i) 1/2) n)) (* 100 (- (* -1/6 i) 1/2)))))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* 100/3 (/ i n)) (* 100 (- (* -1/2 i) 1/2))) n)) (* 100 (- (* -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 (- (* -1/6 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 (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (log (/ i n)) i) (* n n)) #s(hole binary64 (/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i)))
#s(approx (/ (log (/ i n)) i) #s(hole binary64 (/ (+ (log (* -1 i)) (log (/ -1 n))) i)))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (* -1 i)) (log (/ -1 n)))))
Outputs
(*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 n (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) n) i)
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)))) (neg.f64 i))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) i)
(*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))
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(expm1.f64 i)
(-.f64 (exp.f64 i) #s(literal 1 binary64))
i
#s(literal 100 binary64)
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (*.f64 i (/.f64 i n)) #s(literal 100/3 binary64))))
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(*.f64 (*.f64 i (/.f64 i n)) #s(literal 100/3 binary64))
(*.f64 #s(literal 100/3 binary64) (*.f64 i (/.f64 i n)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
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(pow.f64 i #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))))
#s(literal 100/3 binary64)
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i)) n)
(*.f64 (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i) n))
(*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i) n)
(*.f64 n (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i)
(/.f64 (neg.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)))) (neg.f64 i))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)
(*.f64 i (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))
(fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 #s(literal 1/2 binary64) i)))
(fma.f64 #s(literal 1 binary64) i (*.f64 (*.f64 #s(literal 1/2 binary64) i) i))
(+.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 #s(literal 1/2 binary64) i) i))
(+.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 i (*.f64 #s(literal 1/2 binary64) i)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) i))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) i)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) i)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) i) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))
(fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i))
(+.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i (*.f64 #s(literal 100 binary64) n)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i) (*.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i)) (*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 100 binary64) n))) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i) (*.f64 #s(literal 100 binary64) n)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 100 binary64) n) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i) (*.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i) (-.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 100 binary64) n)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i) (*.f64 #s(literal 100 binary64) n)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i (*.f64 #s(literal 100 binary64) n))
(fma.f64 #s(literal 100 binary64) (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i) (*.f64 #s(literal 100 binary64) n))
(fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i))
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#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 (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)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 1 binary64))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 (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))) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) i (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)))
#s(approx (* (+ (* 1/2 i) 1) i) i)
#s(approx (* (+ (* 1/2 i) 1) i) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
#s(approx (+ (* 1/2 i) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 i) 1) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64)))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.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)) #s(literal 100 binary64)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #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)) (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)))
#s(approx (* n i) (*.f64 n i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 (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)) #s(literal 100 binary64)) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (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))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (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 (/ (- (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 (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)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
#s(approx (* (/ (log (/ i n)) i) (* n n)) (*.f64 (*.f64 n n) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)))
#s(approx (/ (log (/ i n)) i) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))
#s(approx (log (/ i n)) (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)))
#s(approx (/ i n) (/.f64 i n))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n))) i))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i))) i))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i)))) i))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) (fma.f64 (*.f64 n (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 i i))) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i))))) i))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (*.f64 (/.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) #s(literal 100 binary64)))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i))) i))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i)))) i))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) #s(literal 100 binary64) (fma.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 i i)) #s(literal 100 binary64)))) i))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) #s(literal 100 binary64)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 #s(literal 100 binary64) (+.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) #s(literal 100 binary64) (fma.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 i i)) #s(literal 100 binary64)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) i) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i)) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i))) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)))
#s(approx (- (exp i) 1) (expm1.f64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i))) i))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) i)) #s(literal 100 binary64)))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) (neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i)) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (pow.f64 n #s(literal 3 binary64))))) i))) i)))
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#s(approx (log (/ i n)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (*.f64 (*.f64 (*.f64 n n) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)) #s(literal 100 binary64)))
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#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n) #s(literal 100 binary64)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)))) n))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))) n (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))))) n (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 100 binary64))) n))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i)) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/3 binary64))))) n (-.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))))) n (*.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))) #s(literal 100 binary64))) n (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 100 binary64))) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i)) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/3 binary64))))) n (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx n n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) n (*.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))))))) n (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))))) n (*.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 100 binary64))) n (*.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (*.f64 i (/.f64 i n)) #s(literal 100/3 binary64)))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i) #s(literal 100 binary64) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 100 binary64) #s(literal 100 binary64)) n (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) #s(literal 100 binary64))) n (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) n (*.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))))))) n (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))))) n (*.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 100 binary64))) n (*.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))))))) n (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 i) i))) n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))))))) n (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) n))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 #s(literal 100/3 binary64) (/.f64 i n)))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) #s(literal 100 binary64) (*.f64 #s(literal 100/3 binary64) i)) n))
#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) n (*.f64 #s(literal 100/3 binary64) i)) n))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/3 binary64)) (*.f64 n n)))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n #s(literal 1/3 binary64)) (*.f64 n n)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))
#s(approx (- 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 100) (*.f64 #s(literal 100 binary64) n))
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#s(approx (log (/ i n)) (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)))
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#s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (neg.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) #s(literal 100 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) #s(literal 100 binary64) (*.f64 #s(literal 100/3 binary64) (/.f64 i n))) n))) n)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (neg.f64 (*.f64 (-.f64 (*.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)) (neg.f64 (*.f64 (-.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)) n)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (neg.f64 (*.f64 (-.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)) n)))
#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) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (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 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)))) n))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (* (/ (log (/ i n)) i) (* n n)) (/.f64 (log.f64 (pow.f64 (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) n)) (*.f64 n n))) i))
#s(approx (/ (log (/ i n)) i) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))) i))
#s(approx (log (/ i n)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))))

eval57.0ms (0.7%)

Memory
10.3MiB live, 143.8MiB allocated; 15ms collecting garbage
Compiler

Compiled 20 874 to 2 069 computations (90.1% saved)

prune38.0ms (0.5%)

Memory
4.7MiB live, 110.6MiB allocated; 9ms collecting garbage
Pruning

31 alts after pruning (23 fresh and 8 done)

PrunedKeptTotal
New40312415
Fresh111122
Picked235
Done055
Total41631447
Accuracy
100.0%
Counts
447 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.6%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) n) i)
75.9%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
61.8%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
44.3%
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i #s(literal 100 binary64))) (/.f64 i n))
12.3%
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n)) #s(literal 100 binary64)) i) n)
77.2%
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
60.6%
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) i) n)
54.0%
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) i)) #s(literal 100 binary64)) i) n)
75.9%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
18.1%
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
76.1%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
15.1%
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n))) #s(literal 100 binary64))
16.1%
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)) #s(literal 100 binary64))
56.7%
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
55.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
12.3%
(*.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)))
45.2%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
27.8%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
76.0%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
12.1%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) i) n))
56.7%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
12.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
54.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
57.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)))) i (*.f64 n #s(literal 100 binary64))))
41.7%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 n #s(literal 100 binary64))))
55.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 n #s(literal 100 binary64))))
58.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 #s(literal 100 binary64))))
58.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i)))
58.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 100 binary64) #s(literal 100 binary64)) n)))
7.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
4.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (*.f64 i (/.f64 i n)) #s(literal 100/3 binary64))))
Compiler

Compiled 2 796 to 981 computations (64.9% saved)

regimes66.0ms (0.8%)

Memory
29.0MiB live, 167.8MiB allocated; 22ms 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (*.f64 i (/.f64 i n)) #s(literal 100/3 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) i)) #s(literal 100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 100 binary64) #s(literal 100 binary64)) n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 #s(literal 100/3 binary64) (/.f64 i n))) i (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i #s(literal 100 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) 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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i) #s(literal 100 binary64) (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) #s(literal 100 binary64))) n (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) 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) i)) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) n) i)
(*.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) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i)))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)) #s(literal 100 binary64))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n))) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 n #s(literal 100 binary64) (*.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)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n)) i) n))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (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 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) 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 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

4 calls:

18.0ms
i
17.0ms
n
16.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
11.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
96.9%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
96.9%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
87.8%3i
92.4%3n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes28.0ms (0.3%)

Memory
-30.6MiB live, 62.0MiB allocated; 6ms collecting garbage
Counts
54 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (*.f64 i (/.f64 i n)) #s(literal 100/3 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) i)) #s(literal 100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 100 binary64) #s(literal 100 binary64)) n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 #s(literal 100/3 binary64) (/.f64 i n))) i (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i #s(literal 100 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) 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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i) #s(literal 100 binary64) (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) #s(literal 100 binary64))) n (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) 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) i)) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) n) i)
(*.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) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i)))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)) #s(literal 100 binary64))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n))) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 n #s(literal 100 binary64) (*.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)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n)) i) n))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
Outputs
(*.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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

2 calls:

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)))
12.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
96.6%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)

regimes49.0ms (0.6%)

Memory
0.7MiB live, 46.8MiB allocated; 3ms collecting garbage
Counts
53 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (*.f64 i (/.f64 i n)) #s(literal 100/3 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) i)) #s(literal 100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 100 binary64) #s(literal 100 binary64)) n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 #s(literal 100/3 binary64) (/.f64 i n))) i (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i #s(literal 100 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) 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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i) #s(literal 100 binary64) (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) #s(literal 100 binary64))) n (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) 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) i)) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) n) i)
(*.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) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i)))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)) #s(literal 100 binary64))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n))) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 n #s(literal 100 binary64) (*.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)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n)) i) n))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
Outputs
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 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 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

2 calls:

35.0ms
(/.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
96.5%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
96.5%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes119.0ms (1.4%)

Memory
6.1MiB live, 67.1MiB allocated; 26ms collecting garbage
Counts
52 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (*.f64 i (/.f64 i n)) #s(literal 100/3 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) i)) #s(literal 100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 100 binary64) #s(literal 100 binary64)) n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 #s(literal 100/3 binary64) (/.f64 i n))) i (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i #s(literal 100 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) 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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i) #s(literal 100 binary64) (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) #s(literal 100 binary64))) n (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) 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) i)) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) n) i)
(*.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) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i)))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)) #s(literal 100 binary64))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n))) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 n #s(literal 100 binary64) (*.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)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n)) i) n))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n)) #s(literal 100 binary64)) 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 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
Calls

4 calls:

81.0ms
n
13.0ms
i
10.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
10.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
83.0%3i
86.0%3n
82.7%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
82.7%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 30 to 22 computations (26.7% saved)

regimes11.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Counts
34 → 5
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (*.f64 i (/.f64 i n)) #s(literal 100/3 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) i)) #s(literal 100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 100 binary64) #s(literal 100 binary64)) n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 #s(literal 100/3 binary64) (/.f64 i n))) i (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i #s(literal 100 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) 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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i) #s(literal 100 binary64) (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) #s(literal 100 binary64))) n (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.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:

9.0ms
n
Results
AccuracySegmentsBranch
87.2%5n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes73.0ms (0.9%)

Memory
-20.5MiB live, 67.8MiB allocated; 13ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (*.f64 i (/.f64 i n)) #s(literal 100/3 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) i)) #s(literal 100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 100 binary64) #s(literal 100 binary64)) n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 #s(literal 100/3 binary64) (/.f64 i n))) i (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i #s(literal 100 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) 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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i) #s(literal 100 binary64) (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) (*.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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) #s(literal 100 binary64))) n (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n)))
Outputs
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) i) n)
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) i) n)
Calls

4 calls:

43.0ms
n
12.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
9.0ms
i
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
60.6%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
60.6%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
63.7%2i
71.9%3n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes8.0ms (0.1%)

Memory
23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Counts
24 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (*.f64 i (/.f64 i n)) #s(literal 100/3 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) i)) #s(literal 100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 100 binary64) #s(literal 100 binary64)) n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 #s(literal 100/3 binary64) (/.f64 i n))) i (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i #s(literal 100 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) i) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) 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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) i) n))
Calls

1 calls:

7.0ms
n
Results
AccuracySegmentsBranch
70.3%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory
-21.7MiB live, 20.4MiB allocated; 6ms collecting garbage
Counts
18 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (*.f64 i (/.f64 i n)) #s(literal 100/3 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) i)) #s(literal 100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 100 binary64) #s(literal 100 binary64)) n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 #s(literal 100/3 binary64) (/.f64 i n))) i (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) #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 #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) #s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64)) #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)))) i (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i #s(literal 100 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 #s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i)) i))) i) n))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n)))
Calls

1 calls:

8.0ms
n
Results
AccuracySegmentsBranch
69.7%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.2%)

Memory
-19.9MiB live, 37.9MiB allocated; 9ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (*.f64 i (/.f64 i n)) #s(literal 100/3 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) i)) #s(literal 100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 100 binary64) #s(literal 100 binary64)) n)))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal 100 binary64)) n)))
Calls

4 calls:

7.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
2.0ms
i
2.0ms
n
2.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
58.4%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
58.4%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
58.4%1i
58.4%1n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes7.0ms (0.1%)

Memory
23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (*.f64 i (/.f64 i n)) #s(literal 100/3 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) i)) #s(literal 100 binary64)) i) n)
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* n 100)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
Calls

4 calls:

2.0ms
i
2.0ms
n
2.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
54.1%1n
56.9%2i
54.1%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
54.1%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes4.0ms (0%)

Memory
11.7MiB live, 11.6MiB allocated; 0ms collecting garbage
Accuracy

Total -32.6b remaining (-111%)

Threshold costs -32.6b (-111%)

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

3 calls:

1.0ms
i
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
54.1%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
54.1%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
54.1%1i
Compiler

Compiled 29 to 20 computations (31% saved)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.2649946595574455e-229
5.274369441871831e-188
0.0ms
-2.625010138213975e-131
-3.820685214828677e-137
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.2649946595574455e-229
5.274369441871831e-188
0.0ms
-3.820685214828677e-137
-7.156243952845225e-139
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.2649946595574455e-229
5.274369441871831e-188
0.0ms
-inf
-304235216218.355
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch115.0ms (1.4%)

Memory
1.0MiB live, 233.7MiB allocated; 22ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
84.0ms
9.947655600860344e-110
1.570546768459884e-105
26.0ms
-1.5259509040013866e-228
-4.447435417719323e-229
Samples
43.0ms69×2valid
41.0ms98×1valid
8.0ms142×0invalid
2.0ms41×0valid
Compiler

Compiled 460 to 379 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-pow: 62.0ms (76.7% of total)
ival-div!: 7.0ms (8.7% of total)
adjust: 6.0ms (7.4% of total)
ival-mult!: 3.0ms (3.7% of total)
ival-add!: 2.0ms (2.5% of total)
ival-sub!: 2.0ms (2.5% of total)

bsearch138.0ms (1.7%)

Memory
3.2MiB live, 194.5MiB allocated; 18ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
3.4274088591654766e+34
1.3351684315586283e+36
1.0ms
9.947655600860344e-110
1.570546768459884e-105
12.0ms
-1.5259509040013866e-228
-4.447435417719323e-229
87.0ms
-1.0707343351681498
-0.042064150954710416
Samples
71.0ms96×1valid
28.0ms65×2valid
8.0ms63×0valid
2.0ms28×0invalid
Compiler

Compiled 1 246 to 923 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
adjust: 53.0ms (54.4% of total)
ival-pow: 34.0ms (34.9% of total)
ival-div!: 6.0ms (6.2% of total)
ival-mult!: 2.0ms (2.1% of total)
ival-add!: 1.0ms (1% of total)
ival-sub!: 1.0ms (1% of total)

bsearch7.0ms (0.1%)

Memory
-37.7MiB live, 6.8MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.947655600860344e-110
1.570546768459884e-105
1.0ms
-1.5259509040013866e-228
-4.447435417719323e-229
Compiler

Compiled 694 to 535 computations (22.9% saved)

bsearch3.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.947655600860344e-110
1.570546768459884e-105
1.0ms
-1.5259509040013866e-228
-4.447435417719323e-229
Compiler

Compiled 766 to 563 computations (26.5% saved)

bsearch3.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.947655600860344e-110
1.570546768459884e-105
1.0ms
-1.5259509040013866e-228
-4.447435417719323e-229
Compiler

Compiled 1 006 to 691 computations (31.3% saved)

bsearch43.0ms (0.5%)

Memory
37.4MiB live, 81.5MiB allocated; 11ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
1.6003888217693894e+119
1.5408525545011155e+168
Samples
15.0ms76×1valid
14.0ms116×0valid
2.0ms36×0invalid
Compiler

Compiled 882 to 579 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-pow: 10.0ms (52.9% of total)
ival-div!: 4.0ms (21.2% of total)
adjust: 2.0ms (10.6% of total)
ival-add!: 1.0ms (5.3% of total)
ival-sub!: 1.0ms (5.3% of total)
ival-mult!: 1.0ms (5.3% of total)

derivations595.0ms (7.2%)

Memory
-24.3MiB live, 663.9MiB allocated; 196ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 051 to 152 computations (85.5% saved)

preprocess154.0ms (1.9%)

Memory
-29.9MiB live, 204.9MiB allocated; 46ms collecting garbage
Compiler

Compiled 2 212 to 360 computations (83.7% saved)

end0.0ms (0%)

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

Profiling

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