Compound Interest

Time bar (total: 10.4s)

start0.0ms (0%)

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

analyze285.0ms (2.7%)

Memory
24.4MiB live, 362.4MiB allocated; 66ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
39.1%39%60.9%0.1%0%0%0%7
44.5%44.5%55.4%0.1%0%0%0%8
55.3%55%44.5%0.1%0%0.4%0%9
59.3%58.7%40.4%0.1%0%0.8%0%10
65.5%64.5%34%0.1%0%1.5%0%11
67.8%66.6%31.6%0.1%0%1.8%0%12
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample5.6s (54.2%)

Memory
-126.8MiB live, 5 253.3MiB allocated; 2.3s collecting garbage
Samples
2.1s4 560×1valid
1.7s1 719×2valid
187.0ms1 929×0valid
165.0ms2 079×0invalid
69.0ms48×3valid
Precisions
Click to see histograms. Total time spent on operations: 3.7s
ival-pow: 2.2s (61.1% of total)
ival-div: 636.0ms (17.3% of total)
adjust: 328.0ms (8.9% of total)
ival-sub: 202.0ms (5.5% of total)
ival-add: 128.0ms (3.5% of total)
ival-mult: 110.0ms (3% of total)
exact: 11.0ms (0.3% of total)
ival-true: 9.0ms (0.2% of total)
ival-assert: 5.0ms (0.1% of total)
Bogosity

explain306.0ms (2.9%)

Memory
-0.2MiB live, 251.1MiB allocated; 10ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1880-0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
5873(-3.6496060731168016e-132 -3.68699703497882e+282)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
390-4(-4.245111262033994e-225 -7.476944689097043e+85)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
30-3(1.0881352837205073e+83 8.385968798304564e-117)(*.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))cancellation1880
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1070
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u350
(/.f64 i n)underflow35
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue240
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow35
(/.f64 i n)overflow24
(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow24
Confusion
Predicted +Predicted -
+1920
-2836
Precision
0.8727272727272727
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+19200
-28036
Precision?
0.8727272727272727
Recall?
1.0
Freqs
test
numberfreq
036
1121
264
335
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
111.0ms172×2valid
85.0ms258×1valid
7.0ms78×0valid
4.0ms3valid
Compiler

Compiled 131 to 34 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-pow: 120.0ms (66.9% of total)
ival-div: 21.0ms (11.7% of total)
adjust: 20.0ms (11.1% of total)
ival-sub: 6.0ms (3.3% of total)
ival-mult: 6.0ms (3.3% of total)
ival-add: 6.0ms (3.3% of total)
ival-true: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)

preprocess194.0ms (1.9%)

Memory
20.4MiB live, 65.8MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02685
16985
218181
351381
4122777
5616877
01015
01615
12715
24615
39315
421115
5112615
0848115
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) n) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

series25.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Counts
10 → 97
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)
i
n
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 1))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))))
#s(approx (+ 1 (/ i n)) #s(hole binary64 1))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (+ 1 (/ i n))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx i #s(hole binary64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (/ i n)))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (* i (+ (/ 1 i) (/ 1 n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (/ (+ i n) n)))
#s(approx n #s(hole binary64 n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
4.0ms
i
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
4.0ms
n
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
3.0ms
n
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
2.0ms
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)

simplify177.0ms (1.7%)

Memory
5.7MiB live, 50.7MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06224919
119744526
082544259
Stop Event
iter limit
node limit
Counts
97 → 97
Calls
Call 1
Inputs
#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))))
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#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))))))))))
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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 (+ 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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#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))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
#s(approx (/ (- (pow (+ 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 (+ 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) i)
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rewrite55.0ms (0.5%)

Memory
-22.9MiB live, 23.1MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01056
01656
16456
045450
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
10 → 84
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
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (neg.f64 i)) (neg.f64 n))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64)) (/.f64 (neg.f64 i) n))
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 (neg.f64 i) n))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))) (/.f64 (neg.f64 i) n))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
#s(literal 100 binary64)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (neg.f64 n))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)
(*.f64 n (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i)
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n) (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n)) (*.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (pow.f64 (/.f64 i n) #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n) (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n) (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 i n))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) (/.f64 i n)) (/.f64 i n)) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)) (/.f64 i n)))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)) (/.f64 i n)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 (neg.f64 i) n))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)))
(neg.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (neg.f64 i) n)))
(-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)))
(fma.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(-.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))))
(-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64))
(+.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))
(*.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 i n))) n)
(pow.f64 (*.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (-.f64 (/.f64 i n) #s(literal -1 binary64))) (/.f64 n #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (+.f64 (/.f64 n #s(literal 2 binary64)) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(/.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 i n) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 i n)))
(/.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(/.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 i n) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 i n) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (/.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(-.f64 (/.f64 i n) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(*.f64 (/.f64 i n) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 i n))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1 binary64) i) n)
(/.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 i) (neg.f64 n))
(/.f64 i n)
(neg.f64 (/.f64 (neg.f64 i) n))
i
n

eval27.0ms (0.3%)

Memory
-21.3MiB live, 31.1MiB allocated; 8ms collecting garbage
Compiler

Compiled 6 737 to 1 015 computations (84.9% saved)

prune28.0ms (0.3%)

Memory
35.8MiB live, 35.8MiB allocated; 0ms collecting garbage
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New17421195
Fresh000
Picked101
Done000
Total17521196
Accuracy
100.0%
Counts
196 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.8%
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
74.6%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
74.6%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
33.3%
(*.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)))
11.5%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
19.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
39.1%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)) (/.f64 i n)))
40.2%
(*.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)))
13.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
58.7%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
44.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
74.5%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
51.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)))
51.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)))
52.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
65.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
13.3%
(*.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))))
16.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) i))))
48.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
51.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 100 binary64) n)))
13.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
Compiler

Compiled 1 104 to 720 computations (34.8% saved)

series201.0ms (1.9%)

Memory
-27.7MiB live, 210.1MiB allocated; 42ms collecting garbage
Counts
37 → 256
Calls
Call 1
Inputs
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 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 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) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
(log.f64 n)
Outputs
#s(approx (/ (* (- (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) #s(hole binary64 (* 100 i)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ i n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx i #s(hole binary64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 n))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 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) (- (+ (/ 1/3 (* n n)) 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 (- (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 (- (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 (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (log i) (log n)))))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (log n))))
#s(approx (log i) #s(hole binary64 (log i)))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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) 100) #s(hole binary64 (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (/ n i)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (+ (* 1/3 (/ (pow n 3) (pow i 3))) (/ n i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* (pow i 2) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* (pow i 2) (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* (pow i 2) (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (+ (/ n (pow i 2)) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i))))))
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 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)))))))
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 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)))) 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 (- (exp i) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (* -1 (log (/ 1 i))) (log n)))))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (* -1 (log (/ 1 i))) (log n))))
#s(approx (log i) #s(hole binary64 (* -1 (log (/ 1 i)))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))))
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#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#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 (log n) #s(hole binary64 (log n)))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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) 100) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (+ 1/2 (* 1/6 i)))))
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 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) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))))))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 1/6))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 (- 1/6 (* 1/2 (/ 1 n)))))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 (- (+ 1/6 (/ 1/3 (pow n 2))) (* 1/2 (/ 1 n)))))
#s(approx (+ (/ 1/3 (* n n)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (/ 1/3 (* n n)) 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 (- (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 (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (log i) (* -1 (log (/ 1 n)))))))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (* -1 (log (/ 1 n))))))
#s(approx (log n) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (/ (* (- (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) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 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) (- (+ (/ 1/3 (* n n)) 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) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2) n)) (* -1/6 i)) 1/2)))))
#s(approx (- (+ (/ 1/3 (* n n)) 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) #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 (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))))))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
Calls

6 calls:

TimeVariablePointExpression
47.0ms
n
@0
((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n 100 (* 100 (/ (- (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)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) (+ (/ 1/3 (* n n)) 1/6) (/ 1/3 (* n n)) 1/3 (* n n) 1/6 (/ 1/2 n) 1/2 (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (* 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)) (- (pow (+ 1 (/ i n)) n) 1) (* (- (log i) (log n)) n) (- (log i) (log n)) (log i) (log n))
46.0ms
i
@0
((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n 100 (* 100 (/ (- (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)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) (+ (/ 1/3 (* n n)) 1/6) (/ 1/3 (* n n)) 1/3 (* n n) 1/6 (/ 1/2 n) 1/2 (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (* 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)) (- (pow (+ 1 (/ i n)) n) 1) (* (- (log i) (log n)) n) (- (log i) (log n)) (log i) (log n))
41.0ms
n
@inf
((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n 100 (* 100 (/ (- (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)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) (+ (/ 1/3 (* n n)) 1/6) (/ 1/3 (* n n)) 1/3 (* n n) 1/6 (/ 1/2 n) 1/2 (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (* 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)) (- (pow (+ 1 (/ i n)) n) 1) (* (- (log i) (log n)) n) (- (log i) (log n)) (log i) (log n))
21.0ms
i
@-inf
((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n 100 (* 100 (/ (- (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)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) (+ (/ 1/3 (* n n)) 1/6) (/ 1/3 (* n n)) 1/3 (* n n) 1/6 (/ 1/2 n) 1/2 (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (* 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)) (- (pow (+ 1 (/ i n)) n) 1) (* (- (log i) (log n)) n) (- (log i) (log n)) (log i) (log n))
19.0ms
i
@inf
((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n 100 (* 100 (/ (- (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)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) (+ (/ 1/3 (* n n)) 1/6) (/ 1/3 (* n n)) 1/3 (* n n) 1/6 (/ 1/2 n) 1/2 (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (* 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)) (- (pow (+ 1 (/ i n)) n) 1) (* (- (log i) (log n)) n) (- (log i) (log n)) (log i) (log n))

simplify178.0ms (1.7%)

Memory
15.8MiB live, 194.1MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120310906
1369210816
081279831
Stop Event
iter limit
node limit
Counts
256 → 256
Calls
Call 1
Inputs
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 n)))
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#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) #s(hole binary64 (* 100 i)))
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#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))))))))))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
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#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))))))
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#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ i n)))
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#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 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))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 n))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 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) (- (+ (/ 1/3 (* n n)) 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)))
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#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 (- (exp i) 1) #s(hole binary64 i))
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#s(approx (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (log i) (log n)))))
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#s(approx (log i) #s(hole binary64 (log i)))
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#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
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#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
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#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
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#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (+ (* 1/3 (/ (pow n 3) (pow i 3))) (/ n i)))))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* 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)))
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#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 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)))))))
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 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)))) i)))))
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#s(approx (- (exp i) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (* -1 (log (/ 1 i))) (log n)))))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (* -1 (log (/ 1 i))) (log n))))
#s(approx (log i) #s(hole binary64 (* -1 (log (/ 1 i)))))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#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 (log n) #s(hole binary64 (log n)))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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) 100) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (+ 1/2 (* 1/6 i)))))
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 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) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))))))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 1/6))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 (- 1/6 (* 1/2 (/ 1 n)))))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 (- (+ 1/6 (/ 1/3 (pow n 2))) (* 1/2 (/ 1 n)))))
#s(approx (+ (/ 1/3 (* n n)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (/ 1/3 (* n n)) 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 (- (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 (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (log i) (* -1 (log (/ 1 n)))))))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (* -1 (log (/ 1 n))))))
#s(approx (log n) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (/ (* (- (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) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 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) (- (+ (/ 1/3 (* n n)) 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) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2) n)) (* -1/6 i)) 1/2)))))
#s(approx (- (+ (/ 1/3 (* n n)) 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) #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 (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))))))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
Outputs
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) 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 (* 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 (/ (* (- (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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 #s(literal 100 binary64) 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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* 100 i)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 #s(literal 100 binary64) 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) (*.f64 (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)) i))
#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) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 (* (- (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) 100) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)
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#s(approx (log (+ 1 (/ i n))) (/.f64 i n))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))))
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#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)))))
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#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
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#s(approx (/ i n) #s(hole binary64 (/ i n)))
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#s(approx i #s(hole binary64 i))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 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)) (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)) #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 (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) n)
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#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 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) (- (+ (/ 1/3 (* n n)) 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))
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#s(approx (* n i) #s(hole binary64 (* i n)))
#s(approx (* n i) (*.f64 n i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)
#s(approx (- (pow (+ 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) (*.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) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
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#s(approx (- (pow (+ 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))))))))
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#s(approx (- (exp i) 1) i)
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* 1/2 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) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* 1/6 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))
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#s(approx (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (log i) (log n)))))
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#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (log n))))
#s(approx (- (log i) (log n)) (-.f64 (log.f64 i) (log.f64 n)))
#s(approx (log i) #s(hole binary64 (log i)))
#s(approx (log i) (log.f64 i))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
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#s(approx (log (+ 1 (/ i n))) (/.f64 (neg.f64 (+.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) i)) (neg.f64 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 (log (+ 1 (/ i n))) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (/.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)))) (neg.f64 n))) n) i)) (neg.f64 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))) (*.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))) #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))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) n) (/.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) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) (neg.f64 n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) i) (*.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)) (*.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))) (neg.f64 n))) (neg.f64 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)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (/.f64 (expm1.f64 i) (neg.f64 i)))))
#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)) (*.f64 (neg.f64 n) (neg.f64 (+.f64 (/.f64 (expm1.f64 i) i) (/.f64 (fma.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))) i) (/.f64 (exp.f64 i) n) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64))) n)))))
#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 n)) (*.f64 (neg.f64 n) (neg.f64 (+.f64 (/.f64 (expm1.f64 i) i) (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.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)))) i) (/.f64 (exp.f64 i) n) (/.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)) (neg.f64 i))) (neg.f64 n))) n)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (neg.f64 n) (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) i #s(literal -1/2 binary64)) i) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (neg.f64 n) (fma.f64 (neg.f64 i) (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) i #s(literal -1/2 binary64)) i) #s(literal 1 binary64)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (neg.f64 n) (-.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) i #s(literal -1/2 binary64)) i (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))) (neg.f64 n))) #s(literal 1 binary64))))
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 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) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (fma.f64 #s(literal -1/6 binary64) i #s(literal -1/2 binary64))))
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 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) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) i #s(literal -1/2 binary64)))))
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 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 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i (fma.f64 #s(literal 1/3 binary64) (/.f64 i n) #s(literal -1/2 binary64))) n) #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) i #s(literal -1/2 binary64)))))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 (+ 1/6 (* -1 (/ (- 1/2 (* 1/3 (/ 1 n))) n)))))
#s(approx (- (+ (/ 1/3 (* n n)) 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) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (*.f64 (neg.f64 n) (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))
#s(approx (- (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 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #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)) (neg.f64 n))) (neg.f64 n)) (exp.f64 i)) #s(literal 1 binary64)))
#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 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (/.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) (/.f64 (*.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)))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n))) (neg.f64 n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))))))
#s(approx (* (- (log i) (log n)) n) (*.f64 (-.f64 (log.f64 i) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) n))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (- (log i) (log n)) (-.f64 (log.f64 i) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 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))))

rewrite154.0ms (1.5%)

Memory
44.2MiB live, 85.2MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043376
076351
1266347
21884337
08468333
Stop Event
iter limit
node limit
iter limit
Counts
37 → 451
Calls
Call 1
Inputs
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 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 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) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
(log.f64 n)
Outputs
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (neg.f64 i)) (neg.f64 n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 n (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)))
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n)) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 100 binary64) (/.f64 i n)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 100 binary64) (/.f64 i n)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (/.f64 i (neg.f64 n)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal 100 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal -1 binary64)) (/.f64 i n))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) #s(literal 100 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) (/.f64 i n))))
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 100 binary64) (/.f64 i n))) (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal -1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 100 binary64) (/.f64 i n))) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 i n))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal 100 binary64)) (*.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal -1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) #s(literal 100 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i (neg.f64 n)))
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(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (log.f64 (pow.f64 (/.f64 i n) n))) n) i)
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(-.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))))
(-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n)))
(-.f64 (log.f64 i) (log.f64 n))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 i n)))
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(log.f64 (/.f64 i n))
(log.f64 i)
(log.f64 n)

eval124.0ms (1.2%)

Memory
-33.3MiB live, 65.4MiB allocated; 37ms collecting garbage
Compiler

Compiled 33 475 to 4 066 computations (87.9% saved)

prune34.0ms (0.3%)

Memory
-9.6MiB live, 40.2MiB allocated; 4ms collecting garbage
Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New73322755
Fresh9716
Picked415
Done000
Total74630776
Accuracy
100.0%
Counts
776 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.3%
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
28.2%
(/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 100 binary64)) (/.f64 i n))
59.0%
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
40.1%
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
43.5%
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
20.1%
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (log.f64 (pow.f64 (/.f64 i n) n))) #s(literal 100 binary64)) i) n)
71.8%
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
74.6%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
73.9%
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
33.3%
(*.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)))
19.6%
(*.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)))
65.1%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
12.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n))) n)) (/.f64 i n)))
17.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
45.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (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)))
43.9%
(*.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)))
41.4%
(*.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)))
44.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
74.5%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
51.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)))
55.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 1/3 (* n n)) 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 n)))
52.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
50.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
56.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
48.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
7.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
56.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
6.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
48.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
13.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
Compiler

Compiled 1 769 to 1 165 computations (34.1% saved)

series51.0ms (0.5%)

Memory
27.2MiB live, 27.2MiB allocated; 0ms collecting garbage
Counts
55 → 412
Calls
Call 1
Inputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 (-.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))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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))
(fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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))
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 n i)
(-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64)))))
(+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
#s(literal 11/24 binary64)
(*.f64 n n)
#s(literal 1/24 binary64)
(-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))
(/.f64 #s(literal 1/4 binary64) n)
#s(literal 1/4 binary64)
(/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64)))
#s(literal -1/4 binary64)
(pow.f64 n #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
Outputs
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* 100 n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 1))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ i n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx i #s(hole binary64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 n))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) #s(hole binary64 n))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) #s(hole binary64 (+ n (* 1/2 (* i n)))))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) #s(hole binary64 (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) #s(hole binary64 (+ 1 (* i (+ 1/2 (* 1/6 i))))))
#s(approx (+ (* 1/6 i) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 i) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 i))))
#s(approx (- (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)))))))))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (* n (+ (log i) (* -1 (log n)))) i)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
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#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (* -1 (log n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (/ n i)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))))
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#s(approx n #s(hole binary64 n))
#s(approx (* n 100) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* 1/3 (/ (pow i 2) n))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) n)))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (- (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 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* 100 (* n (+ (log i) (* -1 (log n)))))))
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#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))))) (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)))))))) (* 100 (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))))))))))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* -1/2 (/ (pow i 2) n))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (/ (+ (* -1/2 (pow i 2)) (* i (* n (+ 1 (* 1/2 i))))) n)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (* -1/2 (/ i n))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1/4 (/ (pow i 3) (pow n 2)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* -1/4 (pow i 3)) (* (pow i 2) (* n (+ 1/3 (* 11/24 i))))) (pow n 2))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* -1/4 (pow i 3)) (* n (+ (* i (* n (- (* i (- (* -1/4 i) 1/2)) 1/2))) (* (pow i 2) (+ 1/3 (* 11/24 i)))))) (pow n 2))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* -1/4 (pow i 3)) (* n (+ (* n (+ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) (* n (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))))) (* (pow i 2) (+ 1/3 (* 11/24 i)))))) (pow n 2))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1/4 (/ (pow i 2) (pow n 2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 (pow i 2)) (* i (* n (+ 1/3 (* 11/24 i))))) (pow n 2))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 (pow i 2)) (* n (+ (* i (+ 1/3 (* 11/24 i))) (* n (- (* i (- (* -1/4 i) 1/2)) 1/2))))) (pow n 2))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 (pow i 2)) (* n (+ (* i (+ 1/3 (* 11/24 i))) (* n (- (+ (* i (- (* -1/4 i) 1/2)) (* n (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))) 1/2))))) (pow n 2))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1/4 (/ i (pow n 2)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 i) (* n (+ 1/3 (* 11/24 i)))) (pow n 2))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 i) (* n (+ 1/3 (+ (* 11/24 i) (* n (- (* -1/4 i) 1/2)))))) (pow n 2))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 i) (* n (+ 1/3 (+ (* 11/24 i) (* n (- (+ (* -1/4 i) (* n (+ 1/6 (* 1/24 i)))) 1/2)))))) (pow n 2))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (/ -1/4 (pow n 3))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (/ (- (* 11/24 n) 1/4) (pow n 3))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 3))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (/ (- (* n (+ 11/24 (* n (- (* 1/24 n) 1/4)))) 1/4) (pow n 3))))
#s(approx (+ (/ 11/24 (* n n)) 1/24) #s(hole binary64 (/ 11/24 (pow n 2))))
#s(approx (+ (/ 11/24 (* n n)) 1/24) #s(hole binary64 (/ (+ 11/24 (* 1/24 (pow n 2))) (pow n 2))))
#s(approx (/ 11/24 (* n n)) #s(hole binary64 (/ 11/24 (pow n 2))))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (- (/ 1/4 n) (/ -1/4 (pow n 3))) #s(hole binary64 (/ 1/4 (pow n 3))))
#s(approx (- (/ 1/4 n) (/ -1/4 (pow n 3))) #s(hole binary64 (/ (+ 1/4 (* 1/4 (pow n 2))) (pow n 3))))
#s(approx (/ 1/4 n) #s(hole binary64 (/ 1/4 n)))
#s(approx (/ -1/4 (pow n 3)) #s(hole binary64 (/ -1/4 (pow n 3))))
#s(approx (pow n 3) #s(hole binary64 (pow n 3)))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (/ 1/3 n)))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (/ (+ 1/3 (* -1/2 n)) n)))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (/ (+ 1/3 (* n (- (* 1/6 n) 1/2))) n)))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 (/ 1/3 (pow n 2))))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/3 (* -1/2 n)) (pow n 2))))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/3 (* n (- (* 1/6 n) 1/2))) (pow n 2))))
#s(approx (+ (/ 1/3 (* n n)) 1/6) #s(hole binary64 (/ 1/3 (pow n 2))))
#s(approx (+ (/ 1/3 (* n n)) 1/6) #s(hole binary64 (/ (+ 1/3 (* 1/6 (pow n 2))) (pow n 2))))
#s(approx (/ 1/3 (* n n)) #s(hole binary64 (/ 1/3 (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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (- (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 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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) 100) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))) (/ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) n))))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))) (+ (/ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) n) (/ (* (pow i 2) (+ 1/3 (* 11/24 i))) (pow n 2))))))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* -1/4 (/ (pow i 3) (pow n 3))) (+ (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))) (+ (/ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) n) (/ (* (pow i 2) (+ 1/3 (* 11/24 i))) (pow n 2)))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* i (+ 1/6 (* 1/24 i))) (/ (* i (- (* -1/4 i) 1/2)) n))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* i (+ 1/6 (* 1/24 i))) (+ (/ (* i (+ 1/3 (* 11/24 i))) (pow n 2)) (/ (* i (- (* -1/4 i) 1/2)) n)))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/4 (/ (pow i 2) (pow n 3))) (+ (* i (+ 1/6 (* 1/24 i))) (+ (/ (* i (+ 1/3 (* 11/24 i))) (pow n 2)) (/ (* i (- (* -1/4 i) 1/2)) n))))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* n (+ 1/6 (* 1/24 i)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/6 (+ (* -1/4 (/ i n)) (* 1/24 i))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/6 (+ (* -1/4 (/ i n)) (+ (* 1/24 i) (+ (* 11/24 (/ i (pow n 2))) (/ 1/3 (pow n 2)))))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/6 (+ (* -1/4 (/ i n)) (+ (* -1/4 (/ i (pow n 3))) (+ (* 1/24 i) (+ (* 11/24 (/ i (pow n 2))) (/ 1/3 (pow n 2))))))) (* 1/2 (/ 1 n))))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 1/24))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (- 1/24 (* 1/4 (/ 1 n)))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (- (+ 1/24 (/ 11/24 (pow n 2))) (* 1/4 (/ 1 n)))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (- (+ 1/24 (/ 11/24 (pow n 2))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))
#s(approx (+ (/ 11/24 (* n n)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (/ 11/24 (* n n)) 1/24) #s(hole binary64 (+ 1/24 (* 11/24 (/ 1 (pow n 2))))))
#s(approx (- (/ 1/4 n) (/ -1/4 (pow n 3))) #s(hole binary64 (/ 1/4 n)))
#s(approx (- (/ 1/4 n) (/ -1/4 (pow n 3))) #s(hole binary64 (/ (+ 1/4 (* 1/4 (/ 1 (pow n 2)))) n)))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* 1/6 n)))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* n (- 1/6 (* 1/2 (/ 1 n))))))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* n (- (+ 1/6 (/ 1/3 (pow n 2))) (* 1/2 (/ 1 n))))))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 1/6))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 (- 1/6 (* 1/2 (/ 1 n)))))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 (- (+ 1/6 (/ 1/3 (pow n 2))) (* 1/2 (/ 1 n)))))
#s(approx (+ (/ 1/3 (* n n)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (/ 1/3 (* n n)) 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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (- (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 (/ (* (- (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) #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 (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* i (- (* -1/24 i) 1/6)) 1/2)) 1)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) n)) (* i (- (* i (- (* -1/24 i) 1/6)) 1/2))) 1)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* -1 (/ (* (pow i 2) (- (* -11/24 i) 1/3)) n)) (* i (- (* i (- (* -1/4 i) 1/2)) 1/2))) n)) (* i (- (* i (- (* -1/24 i) 1/6)) 1/2))) 1)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow i 3) n)) (* (pow i 2) (- (* -11/24 i) 1/3))) n)) (* i (- (* i (- (* -1/4 i) 1/2)) 1/2))) n)) (* i (- (* i (- (* -1/24 i) 1/6)) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/24 i) 1/6)) 1/2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* i (- (* -1/4 i) 1/2)) 1/2) n)) (* i (- (* -1/24 i) 1/6))) 1/2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (- (* -11/24 i) 1/3)) n)) (* i (- (* -1/4 i) 1/2))) 1/2) n)) (* i (- (* -1/24 i) 1/6))) 1/2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/4 (/ (pow i 2) n)) (* i (- (* -11/24 i) 1/3))) n)) (* i (- (* -1/4 i) 1/2))) 1/2) n)) (* i (- (* -1/24 i) 1/6))) 1/2)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* -1/24 i) 1/6)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* -1/4 i) 1/2) n)) (* -1/24 i)) 1/6)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -11/24 i) 1/3) n)) (* -1/4 i)) 1/2) n)) (* -1/24 i)) 1/6)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -11/24 i) (* 1/4 (/ i n))) 1/3) n)) (* -1/4 i)) 1/2) n)) (* -1/24 i)) 1/6)))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (+ 1/24 (* -1 (/ (- 1/4 (* 11/24 (/ 1 n))) n)))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (+ 1/24 (* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n)))))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) 1/6)))))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1/6)))))
#s(approx (- (+ (/ 1/3 (* n n)) 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
7.0ms
n
@0
((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* n 100) 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/6 1/2 1 (* 100 (/ (- (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) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) (/ 1/2 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) (+ (/ 11/24 (* n n)) 1/24) (/ 11/24 (* n n)) 11/24 (* n n) 1/24 (- (/ 1/4 n) (/ -1/4 (pow n 3))) (/ 1/4 n) 1/4 (/ -1/4 (pow n 3)) -1/4 (pow n 3) 3 (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) (+ (/ 1/3 (* n n)) 1/6) (/ 1/3 (* n n)) 1/3 (* (- 1/2 (/ 1/2 n)) n))
7.0ms
i
@inf
((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* n 100) 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/6 1/2 1 (* 100 (/ (- (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) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) (/ 1/2 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) (+ (/ 11/24 (* n n)) 1/24) (/ 11/24 (* n n)) 11/24 (* n n) 1/24 (- (/ 1/4 n) (/ -1/4 (pow n 3))) (/ 1/4 n) 1/4 (/ -1/4 (pow n 3)) -1/4 (pow n 3) 3 (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) (+ (/ 1/3 (* n n)) 1/6) (/ 1/3 (* n n)) 1/3 (* (- 1/2 (/ 1/2 n)) n))
7.0ms
n
@-inf
((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* n 100) 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/6 1/2 1 (* 100 (/ (- (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) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) (/ 1/2 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) (+ (/ 11/24 (* n n)) 1/24) (/ 11/24 (* n n)) 11/24 (* n n) 1/24 (- (/ 1/4 n) (/ -1/4 (pow n 3))) (/ 1/4 n) 1/4 (/ -1/4 (pow n 3)) -1/4 (pow n 3) 3 (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) (+ (/ 1/3 (* n n)) 1/6) (/ 1/3 (* n n)) 1/3 (* (- 1/2 (/ 1/2 n)) n))
7.0ms
i
@-inf
((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* n 100) 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/6 1/2 1 (* 100 (/ (- (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) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) (/ 1/2 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) (+ (/ 11/24 (* n n)) 1/24) (/ 11/24 (* n n)) 11/24 (* n n) 1/24 (- (/ 1/4 n) (/ -1/4 (pow n 3))) (/ 1/4 n) 1/4 (/ -1/4 (pow n 3)) -1/4 (pow n 3) 3 (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) (+ (/ 1/3 (* n n)) 1/6) (/ 1/3 (* n n)) 1/3 (* (- 1/2 (/ 1/2 n)) n))
6.0ms
n
@inf
((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* n 100) 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/6 1/2 1 (* 100 (/ (- (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) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) (/ 1/2 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) (+ (/ 11/24 (* n n)) 1/24) (/ 11/24 (* n n)) 11/24 (* n n) 1/24 (- (/ 1/4 n) (/ -1/4 (pow n 3))) (/ 1/4 n) 1/4 (/ -1/4 (pow n 3)) -1/4 (pow n 3) 3 (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) (+ (/ 1/3 (* n n)) 1/6) (/ 1/3 (* n n)) 1/3 (* (- 1/2 (/ 1/2 n)) n))

simplify185.0ms (1.8%)

Memory
-22.4MiB live, 68.2MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0172419129
1517319102
0825717519
Stop Event
iter limit
node limit
Counts
412 → 412
Calls
Call 1
Inputs
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* 100 n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 1))
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#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) #s(hole binary64 (* (pow i 2) (+ (* 1/6 n) (* 1/2 (/ n i))))))
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#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1/4 (/ (pow i 3) (pow n 2)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* -1/4 (pow i 3)) (* (pow i 2) (* n (+ 1/3 (* 11/24 i))))) (pow n 2))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* -1/4 (pow i 3)) (* n (+ (* i (* n (- (* i (- (* -1/4 i) 1/2)) 1/2))) (* (pow i 2) (+ 1/3 (* 11/24 i)))))) (pow n 2))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* -1/4 (pow i 3)) (* n (+ (* n (+ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) (* n (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))))) (* (pow i 2) (+ 1/3 (* 11/24 i)))))) (pow n 2))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1/4 (/ (pow i 2) (pow n 2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 (pow i 2)) (* i (* n (+ 1/3 (* 11/24 i))))) (pow n 2))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 (pow i 2)) (* n (+ (* i (+ 1/3 (* 11/24 i))) (* n (- (* i (- (* -1/4 i) 1/2)) 1/2))))) (pow n 2))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 (pow i 2)) (* n (+ (* i (+ 1/3 (* 11/24 i))) (* n (- (+ (* i (- (* -1/4 i) 1/2)) (* n (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))) 1/2))))) (pow n 2))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1/4 (/ i (pow n 2)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 i) (* n (+ 1/3 (* 11/24 i)))) (pow n 2))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 i) (* n (+ 1/3 (+ (* 11/24 i) (* n (- (* -1/4 i) 1/2)))))) (pow n 2))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 i) (* n (+ 1/3 (+ (* 11/24 i) (* n (- (+ (* -1/4 i) (* n (+ 1/6 (* 1/24 i)))) 1/2)))))) (pow n 2))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (/ -1/4 (pow n 3))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (/ (- (* 11/24 n) 1/4) (pow n 3))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 3))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (/ (- (* n (+ 11/24 (* n (- (* 1/24 n) 1/4)))) 1/4) (pow n 3))))
#s(approx (+ (/ 11/24 (* n n)) 1/24) #s(hole binary64 (/ 11/24 (pow n 2))))
#s(approx (+ (/ 11/24 (* n n)) 1/24) #s(hole binary64 (/ (+ 11/24 (* 1/24 (pow n 2))) (pow n 2))))
#s(approx (/ 11/24 (* n n)) #s(hole binary64 (/ 11/24 (pow n 2))))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (- (/ 1/4 n) (/ -1/4 (pow n 3))) #s(hole binary64 (/ 1/4 (pow n 3))))
#s(approx (- (/ 1/4 n) (/ -1/4 (pow n 3))) #s(hole binary64 (/ (+ 1/4 (* 1/4 (pow n 2))) (pow n 3))))
#s(approx (/ 1/4 n) #s(hole binary64 (/ 1/4 n)))
#s(approx (/ -1/4 (pow n 3)) #s(hole binary64 (/ -1/4 (pow n 3))))
#s(approx (pow n 3) #s(hole binary64 (pow n 3)))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (/ 1/3 n)))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (/ (+ 1/3 (* -1/2 n)) n)))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (/ (+ 1/3 (* n (- (* 1/6 n) 1/2))) n)))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 (/ 1/3 (pow n 2))))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/3 (* -1/2 n)) (pow n 2))))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/3 (* n (- (* 1/6 n) 1/2))) (pow n 2))))
#s(approx (+ (/ 1/3 (* n n)) 1/6) #s(hole binary64 (/ 1/3 (pow n 2))))
#s(approx (+ (/ 1/3 (* n n)) 1/6) #s(hole binary64 (/ (+ 1/3 (* 1/6 (pow n 2))) (pow n 2))))
#s(approx (/ 1/3 (* n n)) #s(hole binary64 (/ 1/3 (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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (- (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 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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) 100) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))) (/ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) n))))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))) (+ (/ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) n) (/ (* (pow i 2) (+ 1/3 (* 11/24 i))) (pow n 2))))))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* -1/4 (/ (pow i 3) (pow n 3))) (+ (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))) (+ (/ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) n) (/ (* (pow i 2) (+ 1/3 (* 11/24 i))) (pow n 2)))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* i (+ 1/6 (* 1/24 i))) (/ (* i (- (* -1/4 i) 1/2)) n))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* i (+ 1/6 (* 1/24 i))) (+ (/ (* i (+ 1/3 (* 11/24 i))) (pow n 2)) (/ (* i (- (* -1/4 i) 1/2)) n)))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/4 (/ (pow i 2) (pow n 3))) (+ (* i (+ 1/6 (* 1/24 i))) (+ (/ (* i (+ 1/3 (* 11/24 i))) (pow n 2)) (/ (* i (- (* -1/4 i) 1/2)) n))))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* n (+ 1/6 (* 1/24 i)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/6 (+ (* -1/4 (/ i n)) (* 1/24 i))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/6 (+ (* -1/4 (/ i n)) (+ (* 1/24 i) (+ (* 11/24 (/ i (pow n 2))) (/ 1/3 (pow n 2)))))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/6 (+ (* -1/4 (/ i n)) (+ (* -1/4 (/ i (pow n 3))) (+ (* 1/24 i) (+ (* 11/24 (/ i (pow n 2))) (/ 1/3 (pow n 2))))))) (* 1/2 (/ 1 n))))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 1/24))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (- 1/24 (* 1/4 (/ 1 n)))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (- (+ 1/24 (/ 11/24 (pow n 2))) (* 1/4 (/ 1 n)))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (- (+ 1/24 (/ 11/24 (pow n 2))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))
#s(approx (+ (/ 11/24 (* n n)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (/ 11/24 (* n n)) 1/24) #s(hole binary64 (+ 1/24 (* 11/24 (/ 1 (pow n 2))))))
#s(approx (- (/ 1/4 n) (/ -1/4 (pow n 3))) #s(hole binary64 (/ 1/4 n)))
#s(approx (- (/ 1/4 n) (/ -1/4 (pow n 3))) #s(hole binary64 (/ (+ 1/4 (* 1/4 (/ 1 (pow n 2)))) n)))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* 1/6 n)))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* n (- 1/6 (* 1/2 (/ 1 n))))))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* n (- (+ 1/6 (/ 1/3 (pow n 2))) (* 1/2 (/ 1 n))))))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 1/6))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 (- 1/6 (* 1/2 (/ 1 n)))))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 (- (+ 1/6 (/ 1/3 (pow n 2))) (* 1/2 (/ 1 n)))))
#s(approx (+ (/ 1/3 (* n n)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (/ 1/3 (* n n)) 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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (- (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 (/ (* (- (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) #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 (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* i (- (* -1/24 i) 1/6)) 1/2)) 1)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) n)) (* i (- (* i (- (* -1/24 i) 1/6)) 1/2))) 1)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* -1 (/ (* (pow i 2) (- (* -11/24 i) 1/3)) n)) (* i (- (* i (- (* -1/4 i) 1/2)) 1/2))) n)) (* i (- (* i (- (* -1/24 i) 1/6)) 1/2))) 1)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow i 3) n)) (* (pow i 2) (- (* -11/24 i) 1/3))) n)) (* i (- (* i (- (* -1/4 i) 1/2)) 1/2))) n)) (* i (- (* i (- (* -1/24 i) 1/6)) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/24 i) 1/6)) 1/2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* i (- (* -1/4 i) 1/2)) 1/2) n)) (* i (- (* -1/24 i) 1/6))) 1/2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (- (* -11/24 i) 1/3)) n)) (* i (- (* -1/4 i) 1/2))) 1/2) n)) (* i (- (* -1/24 i) 1/6))) 1/2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/4 (/ (pow i 2) n)) (* i (- (* -11/24 i) 1/3))) n)) (* i (- (* -1/4 i) 1/2))) 1/2) n)) (* i (- (* -1/24 i) 1/6))) 1/2)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* -1/24 i) 1/6)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* -1/4 i) 1/2) n)) (* -1/24 i)) 1/6)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -11/24 i) 1/3) n)) (* -1/4 i)) 1/2) n)) (* -1/24 i)) 1/6)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -11/24 i) (* 1/4 (/ i n))) 1/3) n)) (* -1/4 i)) 1/2) n)) (* -1/24 i)) 1/6)))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (+ 1/24 (* -1 (/ (- 1/4 (* 11/24 (/ 1 n))) n)))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (+ 1/24 (* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n)))))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) 1/6)))))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1/6)))))
#s(approx (- (+ (/ 1/3 (* n n)) 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
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* 100 n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (*.f64 #s(literal 100 binary64) n))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) 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 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 1))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 1 binary64))
#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) (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) #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) (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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) #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) i) (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 (/.f64 #s(literal 1/3 binary64) n) n)) (/.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) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) 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) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#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) (*.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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 (- (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))))))))
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#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (neg.f64 n) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)) i #s(literal -1/2 binary64)) i (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i #s(literal -1/2 binary64)) i (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -11/24 binary64) i #s(literal -1/3 binary64)) (*.f64 i i) (*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 1/4 binary64))) n))) n))) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/24 i) 1/6)) 1/2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (fma.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)) i #s(literal -1/2 binary64))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* i (- (* -1/4 i) 1/2)) 1/2) n)) (* i (- (* -1/24 i) 1/6))) 1/2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i #s(literal -1/2 binary64)) n) #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)) i #s(literal -1/2 binary64)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (- (* -11/24 i) 1/3)) n)) (* i (- (* -1/4 i) 1/2))) 1/2) n)) (* i (- (* -1/24 i) 1/6))) 1/2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 (neg.f64 i) (/.f64 (fma.f64 #s(literal -11/24 binary64) i #s(literal -1/3 binary64)) n) (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i #s(literal -1/2 binary64))) n) #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)) i #s(literal -1/2 binary64)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/4 (/ (pow i 2) n)) (* i (- (* -11/24 i) 1/3))) n)) (* i (- (* -1/4 i) 1/2))) 1/2) n)) (* i (- (* -1/24 i) 1/6))) 1/2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -11/24 binary64) i #s(literal -1/3 binary64)) i (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/4 binary64))) n) #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i #s(literal -1/2 binary64))) n) #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)) i #s(literal -1/2 binary64)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* -1/24 i) 1/6)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* -1/4 i) 1/2) n)) (* -1/24 i)) 1/6)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (-.f64 (fma.f64 #s(literal -1/24 binary64) i (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) n))) #s(literal 1/6 binary64))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -11/24 i) 1/3) n)) (* -1/4 i)) 1/2) n)) (* -1/24 i)) 1/6)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (-.f64 (fma.f64 #s(literal -1/24 binary64) i (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -11/24 binary64) i #s(literal -1/3 binary64)) n) #s(literal -1 binary64) (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64))) n))) #s(literal 1/6 binary64))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -11/24 i) (* 1/4 (/ i n))) 1/3) n)) (* -1/4 i)) 1/2) n)) (* -1/24 i)) 1/6)))))
#s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (-.f64 (fma.f64 #s(literal -1/24 binary64) i (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -11/24 binary64) i (fma.f64 #s(literal 1/4 binary64) (/.f64 i n) #s(literal -1/3 binary64))) n) #s(literal -1 binary64) (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64))) n))) #s(literal 1/6 binary64))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (+ 1/24 (* -1 (/ (- 1/4 (* 11/24 (/ 1 n))) n)))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 11/24 binary64) n)) n) #s(literal -1 binary64) #s(literal 1/24 binary64)))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(hole binary64 (+ 1/24 (* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n)))))
#s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1/4 binary64) n)) n) #s(literal -1 binary64) #s(literal 1/4 binary64)) n) #s(literal -1 binary64) #s(literal 1/24 binary64)))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) 1/6)))))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) (*.f64 (neg.f64 n) (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/6 binary64))))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1/6)))))
#s(approx (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n) (*.f64 (neg.f64 n) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) #s(literal 1/6 binary64))))
#s(approx (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) #s(hole binary64 (+ 1/6 (* -1 (/ (- 1/2 (* 1/3 (/ 1 n))) n)))))
#s(approx (- (+ (/ 1/3 (* n n)) 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) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (*.f64 (neg.f64 n) (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))

rewrite118.0ms (1.1%)

Memory
39.8MiB live, 39.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076701
0123693
1448682
03614671
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
55 → 444
Calls
Call 1
Inputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 (-.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))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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))
(fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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))
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 n i)
(-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64)))))
(+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
#s(literal 11/24 binary64)
(*.f64 n n)
#s(literal 1/24 binary64)
(-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))
(/.f64 #s(literal 1/4 binary64) n)
#s(literal 1/4 binary64)
(/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64)))
#s(literal -1/4 binary64)
(pow.f64 n #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
Outputs
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64)) (/.f64 i (neg.f64 n)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 #s(literal 100 binary64) n)) (neg.f64 i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i)
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i)) (*.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (pow.f64 i #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) #s(literal 3 binary64)) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (fma.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (pow.f64 i #s(literal -1 binary64))))))
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(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 3 binary64))) (neg.f64 n)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 n n))) #s(literal -1/2 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 n n))) (neg.f64 n)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 3 binary64))) n) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 n n))) #s(literal 1/2 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 n n))) n))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(+.f64 #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 n n)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)))
(/.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 n n)))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 n n))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/216 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 n n)))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 n)) (neg.f64 n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (fabs.f64 n)) (fabs.f64 n))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) n)) (neg.f64 n))
(/.f64 (/.f64 #s(literal 1/3 binary64) n) n)
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 n) n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 n n)))
(neg.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 n) n)))
#s(literal 1/3 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64))) n) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 n (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))
(/.f64 (*.f64 n (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))

eval131.0ms (1.3%)

Memory
-10.3MiB live, 86.2MiB allocated; 11ms collecting garbage
Compiler

Compiled 52 671 to 5 319 computations (89.9% saved)

prune48.0ms (0.5%)

Memory
5.3MiB live, 51.9MiB allocated; 3ms collecting garbage
Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New88722909
Fresh111324
Picked415
Done011
Total90237939
Accuracy
100.0%
Counts
939 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.2%
(/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 100 binary64)) (/.f64 i n))
59.0%
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
2.4%
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) (/.f64 i n))
43.5%
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
28.7%
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
19.8%
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
20.1%
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (log.f64 (pow.f64 (/.f64 i n) n))) #s(literal 100 binary64)) i) n)
71.8%
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
74.6%
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64)) n)
52.5%
(*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n)
73.3%
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
52.3%
(*.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))) (*.f64 n #s(literal 100 binary64)))
13.5%
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n #s(literal 100 binary64)))
33.3%
(*.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)))
65.1%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
17.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
16.5%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
54.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(literal 1/24 binary64)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)))
45.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
27.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n #s(literal -1/2 binary64))) n (*.f64 #s(literal 11/24 binary64) i)) #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
58.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
52.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
26.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n #s(literal -1/2 binary64))) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n))) i n)))
58.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
50.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
48.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
22.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) n (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i #s(literal -1/2 binary64)) i)) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) (*.f64 i i))) n (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/4 binary64))) (*.f64 n n)))))
58.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
7.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
56.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
52.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
6.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
13.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) (*.f64 i i))) n))))
14.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
14.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
48.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
13.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
Compiler

Compiled 3 168 to 2 034 computations (35.8% saved)

series40.0ms (0.4%)

Memory
-25.3MiB live, 22.1MiB allocated; 1ms collecting garbage
Counts
41 → 432
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
(*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
(fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64))
#s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n))
(fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i))
(*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))
(*.f64 #s(literal -1/2 binary64) (/.f64 i n))
#s(literal -1/2 binary64)
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i)
(-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64))
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)
(-.f64 (/.f64 i n) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 n #s(literal 100 binary64))
Outputs
#s(approx (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) n) #s(hole binary64 (* 100 n)))
#s(approx (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) n) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) 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) i) 100) 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) 100) #s(hole binary64 100))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) #s(hole binary64 (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) #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) i) 100) #s(hole binary64 (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 1))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ i n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx i #s(hole binary64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 n))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) #s(hole binary64 n))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) #s(hole binary64 (+ n (* 1/2 (* i n)))))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) #s(hole binary64 (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) #s(hole binary64 (+ 1 (* i (+ 1/2 (* 1/6 i))))))
#s(approx (+ (* 1/6 i) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 i) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 i))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 n))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 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) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) #s(hole binary64 (* 1/2 n)))
#s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) #s(hole binary64 (+ (* 1/6 (* i n)) (* 1/2 n))))
#s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) #s(hole binary64 (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))
#s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 i))))
#s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) #s(hole binary64 (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))
#s(approx (+ (* 1/24 i) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 i) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 i))))
#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) #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 (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 i))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 1))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (* -1/2 (/ i n)) #s(hole binary64 (* -1/2 (/ i n))))
#s(approx (* (/ (- (pow (- (/ i n) -1) n) 1) i) (* n 100)) #s(hole binary64 (* 100 n)))
#s(approx (* (/ (- (pow (- (/ i n) -1) n) 1) i) (* n 100)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (pow (- (/ i n) -1) 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 (- (/ i n) -1) 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 (- (/ i n) -1) n) 1) i) #s(hole binary64 1))
#s(approx (/ (- (pow (- (/ i n) -1) n) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (pow (- (/ i n) -1) n) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
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#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 1))
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#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))))
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#s(approx (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) n) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) i)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
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#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))))
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#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* 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)))
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#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* (pow i 2) (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (+ (/ n (pow i 2)) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i))))))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) #s(hole binary64 (* 1/6 (* (pow i 2) n))))
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#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) #s(hole binary64 (* 1/6 (pow i 2))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) #s(hole binary64 (* (pow i 2) (+ 1/6 (* 1/2 (/ 1 i))))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) #s(hole binary64 (* (pow i 2) (+ 1/6 (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2)))))))
#s(approx (+ (* 1/6 i) 1/2) #s(hole binary64 (* 1/6 i)))
#s(approx (+ (* 1/6 i) 1/2) #s(hole binary64 (* i (+ 1/6 (* 1/2 (/ 1 i))))))
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#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* (pow i 3) (+ (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (+ (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) (pow i 2)) (/ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) i))))))
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#s(approx (+ (* 1/24 i) 1/6) #s(hole binary64 (* 1/24 i)))
#s(approx (+ (* 1/24 i) 1/6) #s(hole binary64 (* i (+ 1/24 (* 1/6 (/ 1 i))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
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#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (/ (+ (* -1/2 (pow i 2)) (* i (* n (+ 1 (* 1/2 i))))) n)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (* -1/2 (/ i n))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)))
#s(approx (* (/ (- (pow (- (/ i n) -1) 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 (- (/ i n) -1) n) 1) i) #s(hole binary64 (/ (* n (+ (log i) (* -1 (log n)))) i)))
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#s(approx (/ (- (pow (- (/ i n) -1) n) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
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#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))))
#s(approx (- (/ i n) -1) #s(hole binary64 (/ (+ i n) n)))
#s(approx (* n 100) #s(hole binary64 (* 100 n)))
#s(approx (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) n) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) 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 (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) 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) 100) #s(hole binary64 (* 100 (/ (- (exp i) 1) i))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
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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)))
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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 (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))) (/ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) n))))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))) (+ (/ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) n) (/ (* (pow i 2) (+ 1/3 (* 11/24 i))) (pow n 2))))))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* -1/4 (/ (pow i 3) (pow n 3))) (+ (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))) (+ (/ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) n) (/ (* (pow i 2) (+ 1/3 (* 11/24 i))) (pow n 2)))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* i (+ 1/6 (* 1/24 i))) (/ (* i (- (* -1/4 i) 1/2)) n))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* i (+ 1/6 (* 1/24 i))) (+ (/ (* i (+ 1/3 (* 11/24 i))) (pow n 2)) (/ (* i (- (* -1/4 i) 1/2)) n)))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/4 (/ (pow i 2) (pow n 3))) (+ (* i (+ 1/6 (* 1/24 i))) (+ (/ (* i (+ 1/3 (* 11/24 i))) (pow n 2)) (/ (* i (- (* -1/4 i) 1/2)) n))))) (* 1/2 (/ 1 n))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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 (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))))
#s(approx (* (/ (- (pow (- (/ i n) -1) n) 1) i) (* n 100)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
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#s(approx (* (/ (- (pow (- (/ i n) -1) 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 (- (/ i n) -1) n) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
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#s(approx (/ (- (pow (- (/ i n) -1) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (pow (- (/ i n) -1) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (exp i)))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) 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) i) 100) 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) i) 100) 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) 100) #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) i) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* i (- (* -1/24 i) 1/6)) 1/2)) 1)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) n)) (* i (- (* i (- (* -1/24 i) 1/6)) 1/2))) 1)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* -1 (/ (* (pow i 2) (- (* -11/24 i) 1/3)) n)) (* i (- (* i (- (* -1/4 i) 1/2)) 1/2))) n)) (* i (- (* i (- (* -1/24 i) 1/6)) 1/2))) 1)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow i 3) n)) (* (pow i 2) (- (* -11/24 i) 1/3))) n)) (* i (- (* i (- (* -1/4 i) 1/2)) 1/2))) n)) (* i (- (* i (- (* -1/24 i) 1/6)) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/24 i) 1/6)) 1/2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* i (- (* -1/4 i) 1/2)) 1/2) n)) (* i (- (* -1/24 i) 1/6))) 1/2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (- (* -11/24 i) 1/3)) n)) (* i (- (* -1/4 i) 1/2))) 1/2) n)) (* i (- (* -1/24 i) 1/6))) 1/2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/4 (/ (pow i 2) n)) (* i (- (* -11/24 i) 1/3))) n)) (* i (- (* -1/4 i) 1/2))) 1/2) n)) (* i (- (* -1/24 i) 1/6))) 1/2)))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #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 (* (/ (- (pow (- (/ i n) -1) n) 1) i) (* n 100)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (pow (- (/ i n) -1) 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 (- (/ i n) -1) 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 (- (/ i n) -1) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (- (/ i n) -1) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
n
@0
((* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) n) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/2 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (+ (* 1/24 i) 1/6) 1/24 1/6 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (* -1/2 (/ i n)) -1/2 (* (/ (- (pow (- (/ i n) -1) n) 1) i) (* n 100)) (/ (- (pow (- (/ i n) -1) n) 1) i) (- (pow (- (/ i n) -1) n) 1) (pow (- (/ i n) -1) n) (- (/ i n) -1) -1 (* n 100))
5.0ms
i
@-inf
((* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) n) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/2 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (+ (* 1/24 i) 1/6) 1/24 1/6 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (* -1/2 (/ i n)) -1/2 (* (/ (- (pow (- (/ i n) -1) n) 1) i) (* n 100)) (/ (- (pow (- (/ i n) -1) n) 1) i) (- (pow (- (/ i n) -1) n) 1) (pow (- (/ i n) -1) n) (- (/ i n) -1) -1 (* n 100))
4.0ms
i
@inf
((* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) n) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/2 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (+ (* 1/24 i) 1/6) 1/24 1/6 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (* -1/2 (/ i n)) -1/2 (* (/ (- (pow (- (/ i n) -1) n) 1) i) (* n 100)) (/ (- (pow (- (/ i n) -1) n) 1) i) (- (pow (- (/ i n) -1) n) 1) (pow (- (/ i n) -1) n) (- (/ i n) -1) -1 (* n 100))
4.0ms
n
@-inf
((* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) n) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/2 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (+ (* 1/24 i) 1/6) 1/24 1/6 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (* -1/2 (/ i n)) -1/2 (* (/ (- (pow (- (/ i n) -1) n) 1) i) (* n 100)) (/ (- (pow (- (/ i n) -1) n) 1) i) (- (pow (- (/ i n) -1) n) 1) (pow (- (/ i n) -1) n) (- (/ i n) -1) -1 (* n 100))
4.0ms
n
@inf
((* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) n) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/2 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (+ (* 1/24 i) 1/6) 1/24 1/6 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (* -1/2 (/ i n)) -1/2 (* (/ (- (pow (- (/ i n) -1) n) 1) i) (* n 100)) (/ (- (pow (- (/ i n) -1) n) 1) i) (- (pow (- (/ i n) -1) n) 1) (pow (- (/ i n) -1) n) (- (/ i n) -1) -1 (* n 100))

simplify224.0ms (2.2%)

Memory
21.9MiB live, 71.1MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168621866
1501421848
0841120030
Stop Event
iter limit
node limit
Counts
432 → 432
Calls
Call 1
Inputs
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) #s(hole binary64 100))
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#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))))))))))
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#s(approx (/ (- (pow (- (/ i n) -1) n) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))))
#s(approx (- (/ i n) -1) #s(hole binary64 (/ (+ i n) n)))
#s(approx (* n 100) #s(hole binary64 (* 100 n)))
#s(approx (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) n) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) 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 (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) 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) 100) #s(hole binary64 (* 100 (/ (- (exp i) 1) i))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))) (/ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) n))))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))) (+ (/ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) n) (/ (* (pow i 2) (+ 1/3 (* 11/24 i))) (pow n 2))))))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* -1/4 (/ (pow i 3) (pow n 3))) (+ (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))) (+ (/ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) n) (/ (* (pow i 2) (+ 1/3 (* 11/24 i))) (pow n 2)))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* i (+ 1/6 (* 1/24 i))) (/ (* i (- (* -1/4 i) 1/2)) n))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* i (+ 1/6 (* 1/24 i))) (+ (/ (* i (+ 1/3 (* 11/24 i))) (pow n 2)) (/ (* i (- (* -1/4 i) 1/2)) n)))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/4 (/ (pow i 2) (pow n 3))) (+ (* i (+ 1/6 (* 1/24 i))) (+ (/ (* i (+ 1/3 (* 11/24 i))) (pow n 2)) (/ (* i (- (* -1/4 i) 1/2)) n))))) (* 1/2 (/ 1 n))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ 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) 100) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))))
#s(approx (* (/ (- (pow (- (/ i n) -1) n) 1) i) (* n 100)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (/ (- (pow (- (/ i n) -1) n) 1) i) (* n 100)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (/ (- (pow (- (/ i n) -1) 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 (- (/ i n) -1) 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 (- (/ i n) -1) n) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (pow (- (/ i n) -1) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (- (/ i n) -1) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (pow (- (/ i n) -1) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (exp i)))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) 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) i) 100) 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) i) 100) 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) 100) #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) i) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* i (- (* -1/24 i) 1/6)) 1/2)) 1)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* i (- (* -1/4 i) 1/2)) 1/2)) n)) (* i (- (* i (- (* -1/24 i) 1/6)) 1/2))) 1)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* -1 (/ (* (pow i 2) (- (* -11/24 i) 1/3)) n)) (* i (- (* i (- (* -1/4 i) 1/2)) 1/2))) n)) (* i (- (* i (- (* -1/24 i) 1/6)) 1/2))) 1)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow i 3) n)) (* (pow i 2) (- (* -11/24 i) 1/3))) n)) (* i (- (* i (- (* -1/4 i) 1/2)) 1/2))) n)) (* i (- (* i (- (* -1/24 i) 1/6)) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/24 i) 1/6)) 1/2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* i (- (* -1/4 i) 1/2)) 1/2) n)) (* i (- (* -1/24 i) 1/6))) 1/2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (- (* -11/24 i) 1/3)) n)) (* i (- (* -1/4 i) 1/2))) 1/2) n)) (* i (- (* -1/24 i) 1/6))) 1/2)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/4 (/ (pow i 2) n)) (* i (- (* -11/24 i) 1/3))) n)) (* i (- (* -1/4 i) 1/2))) 1/2) n)) (* i (- (* -1/24 i) 1/6))) 1/2)))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #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 (* (/ (- (pow (- (/ i n) -1) n) 1) i) (* n 100)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (pow (- (/ i n) -1) 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 (- (/ i n) -1) 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 (- (/ i n) -1) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (- (/ i n) -1) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
Outputs
#s(approx (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) n) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) 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))) (*.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 (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) 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))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 #s(literal 100 binary64) n)))
#s(approx (* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) 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) (/ i n))) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) #s(hole binary64 100))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) #s(literal 100 binary64))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) #s(hole binary64 (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) (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)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) #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) i) 100) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) #s(hole binary64 (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) 100) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)))
#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(literal 1 binary64))
#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) (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) #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) (fma.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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) #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) i) (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.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) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) 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) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#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) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 (- (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 (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.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) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) i)
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#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) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#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) #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))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ i n)))
#s(approx (log (+ 1 (/ i n))) (/.f64 i n))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))))
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#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (* -1 (log n)))))
#s(approx (log (+ 1 (/ i n))) (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (/ n i)))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (/.f64 n i)) (log.f64 i)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 (fma.f64 (/.f64 n (*.f64 i i)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n (neg.f64 (log.f64 n))) (log.f64 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)))))))
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#s(approx n #s(hole binary64 n))
#s(approx n n)
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#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))))))))))
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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)) (*.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)) #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)) (*.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) (/.f64 #s(literal 1 binary64) (*.f64 i i))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#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))))))
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#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1/4 (/ (pow i 3) (pow n 2)))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 (pow.f64 i #s(literal 3 binary64)) n)))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* -1/4 (pow i 3)) (* (pow i 2) (* n (+ 1/3 (* 11/24 i))))) (pow n 2))))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) n) (*.f64 i i) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/4 binary64))) (*.f64 n n)))
#s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* -1/4 (pow i 3)) (* n (+ (* i (* n (- (* i (- (* -1/4 i) 1/2)) 1/2))) (* (pow i 2) (+ 1/3 (* 11/24 i)))))) (pow n 2))))
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#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 (pow i 2)) (* i (* n (+ 1/3 (* 11/24 i))))) (pow n 2))))
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#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 (pow i 2)) (* n (+ (* i (+ 1/3 (* 11/24 i))) (* n (- (* i (- (* -1/4 i) 1/2)) 1/2))))) (pow n 2))))
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#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 (pow i 2)) (* n (+ (* i (+ 1/3 (* 11/24 i))) (* n (- (+ (* i (- (* -1/4 i) 1/2)) (* n (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))) 1/2))))) (pow n 2))))
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#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
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#s(approx (pow (- (/ i n) -1) n) (exp.f64 i))
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#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) n)))
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#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (- (/ i n) -1) n) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (neg.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) (*.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (- (/ i n) -1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (- (/ i n) -1) n) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (neg.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) (*.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))) n))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (- (/ i n) -1) n) (fma.f64 (/.f64 (fma.f64 (neg.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) (*.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i))) n) #s(literal -1 binary64) (exp.f64 i)))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (- (/ i n) -1) n) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (neg.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) (*.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))) n))) n) #s(literal -1 binary64) (exp.f64 i)))

rewrite120.0ms (1.2%)

Memory
-13.8MiB live, 33.4MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083690
0115676
1483662
04077637
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
41 → 294
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
(*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
(fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64))
#s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n))
(fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i))
(*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))
(*.f64 #s(literal -1/2 binary64) (/.f64 i n))
#s(literal -1/2 binary64)
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i)
(-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64))
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)
(-.f64 (/.f64 i n) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 n #s(literal 100 binary64))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 #s(literal 100 binary64) n)) (neg.f64 i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) i)
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n)) (neg.f64 i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) i)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64)) (neg.f64 i))
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i)
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i)) (*.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (pow.f64 i #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) #s(literal 3 binary64)) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (fma.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (pow.f64 i #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 (neg.f64 i)))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (*.f64 i #s(literal 1 binary64))) (*.f64 i i))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)) i))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)) i))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i))
(neg.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)))
(-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)))
(fma.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(-.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))))
(-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (-.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(*.f64 n (log1p.f64 (/.f64 i n)))
(log.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))
(log1p.f64 (/.f64 i n))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64))) (log1p.f64 (*.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 i n))))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 i n)) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))))
(log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 i n)))
(*.f64 #s(literal 1 binary64) (/.f64 i n))
(*.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1 binary64) i) n)
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) #s(literal 3 binary64)) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (fma.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (pow.f64 i #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 (neg.f64 i)))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (*.f64 i #s(literal 1 binary64))) (*.f64 i i))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)) i))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)) i))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i))
(neg.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)))
(-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)))
(fma.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(-.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))))
(-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (-.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))
(*.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(pow.f64 (*.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (-.f64 (/.f64 i n) #s(literal -1 binary64))) (/.f64 n #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (+.f64 (/.f64 n #s(literal 2 binary64)) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (-.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (-.f64 (*.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))))
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(+.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 i n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 i n)) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 i n) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 i n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 i n)))
(/.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 i n)) (pow.f64 (/.f64 i n) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(/.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 i n)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 i n) #s(literal 1 binary64))
(fma.f64 (/.f64 i n) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (/.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(-.f64 (/.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 i n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 i n))))
(-.f64 (/.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 i n)) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 i n)) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))))
(-.f64 (/.f64 i n) #s(literal -1 binary64))
(exp.f64 (log1p.f64 (/.f64 i n)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (log1p.f64 (/.f64 i n))) (sinh.f64 (log1p.f64 (/.f64 i n))))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+.f64 (/.f64 i n) #s(literal 1 binary64))
#s(literal -1 binary64)
(*.f64 #s(literal 100 binary64) n)
(*.f64 n #s(literal 100 binary64))

eval82.0ms (0.8%)

Memory
16.8MiB live, 61.5MiB allocated; 5ms collecting garbage
Compiler

Compiled 37 400 to 3 680 computations (90.2% saved)

prune55.0ms (0.5%)

Memory
6.2MiB live, 52.6MiB allocated; 3ms collecting garbage
Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New69810708
Fresh82230
Picked325
Done022
Total70936745
Accuracy
100.0%
Counts
745 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.5%
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) n) i)
59.0%
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
43.5%
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
33.4%
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (- (/ i n) -1) (/.f64 i n)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
19.8%
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
20.1%
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (log.f64 (pow.f64 (/.f64 i n) n))) #s(literal 100 binary64)) i) n)
71.8%
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
28.6%
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n)
74.6%
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64)) n)
51.7%
(*.f64 (*.f64 #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 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.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(literal 100 binary64)) n)
52.3%
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
13.5%
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) #s(literal 100 binary64)) n)
52.5%
(*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n)
73.3%
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
65.1%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
17.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
16.5%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
45.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
27.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n #s(literal -1/2 binary64))) n (*.f64 #s(literal 11/24 binary64) i)) #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
52.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
26.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n #s(literal -1/2 binary64))) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n))) i n)))
57.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
57.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
50.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
48.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
22.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) n (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i #s(literal -1/2 binary64)) i)) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) (*.f64 i i))) n (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/4 binary64))) (*.f64 n n)))))
58.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
7.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
56.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
52.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
6.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
13.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal -1/6 binary64)) (*.f64 i i))) n))))
14.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
14.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
48.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
13.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
Compiler

Compiled 4 442 to 1 520 computations (65.8% saved)

regimes72.0ms (0.7%)

Memory
-19.1MiB live, 34.4MiB allocated; 4ms collecting garbage
Counts
76 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal -1/6 binary64)) (*.f64 i 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 1/3 (* n n)) 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 n)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.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 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) (/.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 (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)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 100 binary64) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(literal 1/24 binary64)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n #s(literal -1/2 binary64))) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n #s(literal -1/2 binary64))) n (*.f64 #s(literal 11/24 binary64) i)) #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (- (/ i n) -1) (/.f64 i n)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) n (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i #s(literal -1/2 binary64)) i)) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) (*.f64 i i))) n (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/4 binary64))) (*.f64 n n)))))
(*.f64 (*.f64 #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 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.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(literal 100 binary64)) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (log.f64 (pow.f64 (/.f64 i n) 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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.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 #s(literal 100 binary64) i)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n))) n)) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) i))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 100 binary64)) (/.f64 i n))
Outputs
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

4 calls:

22.0ms
n
18.0ms
i
14.0ms
(*.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)))
13.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
93.0%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
93.0%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
89.8%4i
92.9%5n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes30.0ms (0.3%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Counts
73 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
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(*.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 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal -1/6 binary64)) (*.f64 i 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 1/3 (* n n)) 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 n)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.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 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) (/.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 (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)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 100 binary64) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(literal 1/24 binary64)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n #s(literal -1/2 binary64))) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n #s(literal -1/2 binary64))) n (*.f64 #s(literal 11/24 binary64) i)) #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (- (/ i n) -1) (/.f64 i n)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) n (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i #s(literal -1/2 binary64)) i)) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) (*.f64 i i))) n (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/4 binary64))) (*.f64 n n)))))
(*.f64 (*.f64 #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 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.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(literal 100 binary64)) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (log.f64 (pow.f64 (/.f64 i n) 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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.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 #s(literal 100 binary64) i)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n))) n)) (/.f64 i n)))
Outputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) 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)))
13.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
92.5%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
92.5%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes30.0ms (0.3%)

Memory
-29.3MiB live, 17.8MiB allocated; 1ms collecting garbage
Counts
70 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal -1/6 binary64)) (*.f64 i 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 1/3 (* n n)) 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 n)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.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 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) (/.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 (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)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 100 binary64) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(literal 1/24 binary64)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n #s(literal -1/2 binary64))) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n #s(literal -1/2 binary64))) n (*.f64 #s(literal 11/24 binary64) i)) #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (- (/ i n) -1) (/.f64 i n)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) n (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i #s(literal -1/2 binary64)) i)) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) (*.f64 i i))) n (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/4 binary64))) (*.f64 n n)))))
(*.f64 (*.f64 #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 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.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(literal 100 binary64)) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (log.f64 (pow.f64 (/.f64 i n) 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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.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 #s(literal 100 binary64) i)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64)) n)
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

2 calls:

14.0ms
(*.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)))
13.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
92.5%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
92.5%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes28.0ms (0.3%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Counts
67 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal -1/6 binary64)) (*.f64 i 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 1/3 (* n n)) 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 n)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.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 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) (/.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 (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)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 100 binary64) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(literal 1/24 binary64)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n #s(literal -1/2 binary64))) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n #s(literal -1/2 binary64))) n (*.f64 #s(literal 11/24 binary64) i)) #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (- (/ i n) -1) (/.f64 i n)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) n (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i #s(literal -1/2 binary64)) i)) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) (*.f64 i i))) n (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/4 binary64))) (*.f64 n n)))))
(*.f64 (*.f64 #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 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.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(literal 100 binary64)) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (log.f64 (pow.f64 (/.f64 i n) 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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
Outputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

2 calls:

12.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
12.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
92.4%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
92.4%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes58.0ms (0.6%)

Memory
-16.8MiB live, 30.2MiB allocated; 1ms collecting garbage
Counts
65 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal -1/6 binary64)) (*.f64 i 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 1/3 (* n n)) 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 n)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.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 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) (/.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 (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)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 100 binary64) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(literal 1/24 binary64)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n #s(literal -1/2 binary64))) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n #s(literal -1/2 binary64))) n (*.f64 #s(literal 11/24 binary64) i)) #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (- (/ i n) -1) (/.f64 i n)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) n (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i #s(literal -1/2 binary64)) i)) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) (*.f64 i i))) n (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/4 binary64))) (*.f64 n n)))))
(*.f64 (*.f64 #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 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.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(literal 100 binary64)) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (log.f64 (pow.f64 (/.f64 i n) 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 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
Calls

4 calls:

16.0ms
n
15.0ms
i
12.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
12.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
81.3%4i
81.9%4n
78.2%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
78.2%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)

regimes17.0ms (0.2%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Counts
61 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
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(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal -1/6 binary64)) (*.f64 i 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 1/3 (* n n)) 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 n)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.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 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) (/.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 (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)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 100 binary64) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(literal 1/24 binary64)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n #s(literal -1/2 binary64))) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n #s(literal -1/2 binary64))) n (*.f64 #s(literal 11/24 binary64) i)) #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (- (/ i n) -1) (/.f64 i n)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) n (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i #s(literal -1/2 binary64)) i)) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) (*.f64 i i))) n (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/4 binary64))) (*.f64 n n)))))
(*.f64 (*.f64 #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 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.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(literal 100 binary64)) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n #s(literal 100 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
Calls

1 calls:

14.0ms
n
Results
AccuracySegmentsBranch
81.9%4n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes31.0ms (0.3%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Counts
60 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal -1/6 binary64)) (*.f64 i 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 1/3 (* n n)) 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 n)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.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 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) (/.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 (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)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 100 binary64) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(literal 1/24 binary64)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n #s(literal -1/2 binary64))) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n #s(literal -1/2 binary64))) n (*.f64 #s(literal 11/24 binary64) i)) #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (- (/ i n) -1) (/.f64 i n)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) n (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i #s(literal -1/2 binary64)) i)) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) (*.f64 i i))) n (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/4 binary64))) (*.f64 n n)))))
(*.f64 (*.f64 #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 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.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(literal 100 binary64)) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
Calls

2 calls:

14.0ms
n
14.0ms
i
Results
AccuracySegmentsBranch
81.3%4i
80.9%4n
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes18.0ms (0.2%)

Memory
-37.3MiB live, 9.9MiB allocated; 1ms collecting garbage
Counts
59 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal -1/6 binary64)) (*.f64 i 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 1/3 (* n n)) 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 n)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.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 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) (/.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 (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)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 100 binary64) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(literal 1/24 binary64)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n #s(literal -1/2 binary64))) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n #s(literal -1/2 binary64))) n (*.f64 #s(literal 11/24 binary64) i)) #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (- (/ i n) -1) (/.f64 i n)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) n (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i #s(literal -1/2 binary64)) i)) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) (*.f64 i i))) n (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/4 binary64))) (*.f64 n n)))))
(*.f64 (*.f64 #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 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.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(literal 100 binary64)) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
Calls

1 calls:

14.0ms
i
Results
AccuracySegmentsBranch
81.3%4i
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes30.0ms (0.3%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Counts
58 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal -1/6 binary64)) (*.f64 i 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 1/3 (* n n)) 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 n)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.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 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) (/.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 (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)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 100 binary64) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(literal 1/24 binary64)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n #s(literal -1/2 binary64))) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n #s(literal -1/2 binary64))) n (*.f64 #s(literal 11/24 binary64) i)) #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (- (/ i n) -1) (/.f64 i n)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) n (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i #s(literal -1/2 binary64)) i)) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) (*.f64 i i))) n (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/4 binary64))) (*.f64 n n)))))
(*.f64 (*.f64 #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 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.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(literal 100 binary64)) n)
Outputs
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
Calls

2 calls:

13.0ms
i
13.0ms
n
Results
AccuracySegmentsBranch
80.9%4n
79.0%3i
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes15.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms 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))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal -1/6 binary64)) (*.f64 i 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 1/3 (* n n)) 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 n)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.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 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) (/.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 (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)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 100 binary64) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(literal 1/24 binary64)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n #s(literal -1/2 binary64))) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n #s(literal -1/2 binary64))) n (*.f64 #s(literal 11/24 binary64) i)) #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (- (/ i n) -1) (/.f64 i n)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Outputs
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
Calls

1 calls:

12.0ms
n
Results
AccuracySegmentsBranch
80.8%4n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes24.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Counts
46 → 5
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal -1/6 binary64)) (*.f64 i 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 1/3 (* n n)) 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 n)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.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 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) (/.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 (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)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 100 binary64) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(literal 1/24 binary64)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n #s(literal -1/2 binary64))) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n #s(literal -1/2 binary64))) n (*.f64 #s(literal 11/24 binary64) i)) #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (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 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Calls

2 calls:

11.0ms
n
11.0ms
i
Results
AccuracySegmentsBranch
76.5%4i
80.7%5n
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes41.0ms (0.4%)

Memory
-28.4MiB live, 21.8MiB allocated; 2ms collecting garbage
Counts
44 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal -1/6 binary64)) (*.f64 i 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 1/3 (* n n)) 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 n)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.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 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) (/.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 (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)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 100 binary64) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(literal 1/24 binary64)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i #s(literal -1/2 binary64)) i (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n #s(literal -1/2 binary64))) n (*.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) i (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n #s(literal -1/2 binary64))) n (*.f64 #s(literal 11/24 binary64) i)) #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3)))) #s(literal 1/24 binary64)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
Calls

4 calls:

10.0ms
n
10.0ms
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)))
8.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
67.4%3i
58.2%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
58.2%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)))
70.3%4n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes11.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Counts
39 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal -1/6 binary64)) (*.f64 i 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 1/3 (* n n)) 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 n)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.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 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) (/.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 (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)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal 11/24 binary64) i #s(literal 1/3 binary64)) n (*.f64 #s(literal -1/4 binary64) i)) (*.f64 n n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #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 100 binary64) n)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
Calls

1 calls:

9.0ms
n
Results
AccuracySegmentsBranch
70.1%4n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Counts
31 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal -1/6 binary64)) (*.f64 i 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) #s(approx (- (+ (/ 1/3 (* n n)) 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 n)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) #s(literal 100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.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 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n)
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.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)) n))))
Calls

1 calls:

8.0ms
n
Results
AccuracySegmentsBranch
69.9%4n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Counts
16 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) #s(literal 100 binary64)) (/.f64 i n))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
Calls

1 calls:

4.0ms
n
Results
AccuracySegmentsBranch
69.6%4n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Counts
12 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(approx (+ (* (+ (* 1/24 i) 1/6) i) 1/2) (*.f64 (*.f64 i i) #s(literal 1/24 binary64))) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))
Calls

1 calls:

3.0ms
n
Results
AccuracySegmentsBranch
67.6%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Counts
9 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
Outputs
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
Calls

2 calls:

3.0ms
n
3.0ms
i
Results
AccuracySegmentsBranch
66.0%3i
65.7%3n
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes8.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
Calls

4 calls:

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)))
2.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
56.0%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
56.0%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
56.0%1n
56.0%1i
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes8.0ms (0.1%)

Memory
-41.2MiB live, 6.5MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
Calls

4 calls:

2.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
2.0ms
n
2.0ms
i
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
56.0%1i
56.0%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
56.0%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
56.0%1n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes7.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) #s(literal 1/6 binary64))) n))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
Calls

4 calls:

2.0ms
i
2.0ms
n
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
56.4%2i
52.5%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
52.5%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
52.5%1n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
Calls

1 calls:

1.0ms
i
Results
AccuracySegmentsBranch
52.5%1i
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
i
1.0ms
n
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
48.3%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
48.3%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
48.3%1n
48.3%1i
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
2.500987460525015e-306
5.882026221587962e-241
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
2.500987460525015e-306
5.882026221587962e-241
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
2.500987460525015e-306
5.882026221587962e-241
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
2.500987460525015e-306
5.882026221587962e-241
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch154.0ms (1.5%)

Memory
-12.7MiB live, 33.5MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
37.0ms
6.299826166539154e-100
5.736474007998824e-99
33.0ms
-4.9056540477850234e-306
2.1967317355579375e-307
71.0ms
-5.000111239724315e-173
-7.25988684114055e-184
Samples
71.0ms141×2valid
25.0ms146×1valid
18.0ms304×0invalid
6.0ms97×0valid
Compiler

Compiled 1 004 to 785 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-pow: 51.0ms (52% of total)
ival-div: 16.0ms (16.3% of total)
adjust: 13.0ms (13.3% of total)
ival-mult: 6.0ms (6.1% of total)
ival-sub: 5.0ms (5.1% of total)
ival-add: 5.0ms (5.1% of total)
ival-true: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.299826166539154e-100
5.736474007998824e-99
1.0ms
-4.9056540477850234e-306
2.1967317355579375e-307
1.0ms
-5.000111239724315e-173
-7.25988684114055e-184
Compiler

Compiled 1 004 to 785 computations (21.8% saved)

bsearch84.0ms (0.8%)

Memory
23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
6.85722430562053e+224
6.04196187872027e+225
29.0ms
1.6458930745170102e+128
2.503392861102028e+133
31.0ms
-4.7559582761469235e+154
-1.2400061443731548e+143
Samples
30.0ms147×1valid
19.0ms253×0valid
8.0ms134×0invalid
Compiler

Compiled 937 to 724 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-pow: 17.0ms (39.5% of total)
ival-div: 10.0ms (23.2% of total)
adjust: 5.0ms (11.6% of total)
ival-mult: 4.0ms (9.3% of total)
ival-sub: 3.0ms (7% of total)
ival-add: 3.0ms (7% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.85722430562053e+224
6.04196187872027e+225
1.0ms
1.6458930745170102e+128
2.503392861102028e+133
1.0ms
-4.7559582761469235e+154
-1.2400061443731548e+143
Compiler

Compiled 949 to 736 computations (22.4% saved)

bsearch57.0ms (0.5%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.299826166539154e-100
5.736474007998824e-99
51.0ms
6.725931792904618e-192
1.0026657218135838e-184
1.0ms
-5.000111239724315e-173
-7.25988684114055e-184
Samples
19.0ms40×2valid
11.0ms71×1valid
6.0ms3valid
4.0ms76×0invalid
2.0ms26×0valid
Compiler

Compiled 959 to 730 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-pow: 19.0ms (52.9% of total)
ival-div: 5.0ms (13.9% of total)
adjust: 5.0ms (13.9% of total)
ival-sub: 2.0ms (5.6% of total)
ival-mult: 2.0ms (5.6% of total)
ival-add: 2.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch75.0ms (0.7%)

Memory
-32.3MiB live, 14.1MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.850926650599258e-9
2.9022272734812887e-9
44.0ms
2.7237996601642025e-204
1.1842931455056802e-202
1.0ms
-5.000111239724315e-173
-7.25988684114055e-184
Samples
43.0ms81×2valid
12.0ms61×1valid
4.0ms66×0invalid
2.0ms34×0valid
Compiler

Compiled 746 to 592 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-pow: 29.0ms (54.7% of total)
ival-div: 10.0ms (18.9% of total)
adjust: 7.0ms (13.2% of total)
ival-sub: 2.0ms (3.8% of total)
ival-add: 2.0ms (3.8% of total)
ival-mult: 2.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch124.0ms (1.2%)

Memory
21.8MiB live, 21.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
2.4486110086743378e-11
1.850926650599258e-9
1.0ms
2.7237996601642025e-204
1.1842931455056802e-202
1.0ms
-5.000111239724315e-173
-7.25988684114055e-184
71.0ms
-2.4972443177447577e-26
-1.0196299050094653e-42
Samples
61.0ms99×2valid
35.0ms171×1valid
6.0ms95×0invalid
0.0ms0valid
Compiler

Compiled 1 259 to 950 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-pow: 56.0ms (62.8% of total)
adjust: 11.0ms (12.3% of total)
ival-div: 10.0ms (11.2% of total)
ival-sub: 4.0ms (4.5% of total)
ival-add: 4.0ms (4.5% of total)
ival-mult: 4.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch79.0ms (0.8%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.4486110086743378e-11
1.850926650599258e-9
1.0ms
2.7237996601642025e-204
1.1842931455056802e-202
72.0ms
-3.27105730728049e-94
-3.5680992606227293e-100
Samples
40.0ms63×2valid
12.0ms62×1valid
6.0ms3valid
4.0ms76×0invalid
1.0ms13×0valid
Compiler

Compiled 1 650 to 1 156 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-pow: 37.0ms (65.9% of total)
adjust: 6.0ms (10.7% of total)
ival-div: 6.0ms (10.7% of total)
ival-add: 2.0ms (3.6% of total)
ival-mult: 2.0ms (3.6% of total)
ival-sub: 2.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.4486110086743378e-11
1.850926650599258e-9
1.0ms
2.7237996601642025e-204
1.1842931455056802e-202
2.0ms
-3.27105730728049e-94
-3.5680992606227293e-100
Compiler

Compiled 1 704 to 1 201 computations (29.5% saved)

bsearch7.0ms (0.1%)

Memory
-48.7MiB live, 2.1MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.4486110086743378e-11
1.850926650599258e-9
1.0ms
2.7237996601642025e-204
1.1842931455056802e-202
4.0ms
-3.27105730728049e-94
-3.5680992606227293e-100
Compiler

Compiled 1 830 to 1 246 computations (31.9% saved)

bsearch4.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.4486110086743378e-11
1.850926650599258e-9
1.0ms
2.7237996601642025e-204
1.1842931455056802e-202
1.0ms
-3.27105730728049e-94
-3.5680992606227293e-100
Compiler

Compiled 1 872 to 1 253 computations (33.1% saved)

bsearch71.0ms (0.7%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
65.0ms
2.0450602292064573e-137
1.1183871658129498e-126
1.0ms
-3.27105730728049e-94
-3.5680992606227293e-100
Samples
39.0ms72×2valid
11.0ms65×1valid
5.0ms80×0invalid
1.0ms23×0valid
Compiler

Compiled 1 937 to 1 269 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-pow: 28.0ms (58.1% of total)
adjust: 7.0ms (14.5% of total)
ival-div: 6.0ms (12.4% of total)
ival-sub: 2.0ms (4.1% of total)
ival-add: 2.0ms (4.1% of total)
ival-mult: 2.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch45.0ms (0.4%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.85722430562053e+224
6.04196187872027e+225
41.0ms
-1.609747914220189e+28
-3.2592090533005303e+21
Samples
29.0ms125×1valid
3.0ms58×0invalid
1.0ms19×0valid
Compiler

Compiled 1 008 to 690 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-pow: 13.0ms (47.9% of total)
ival-div: 5.0ms (18.4% of total)
adjust: 4.0ms (14.7% of total)
ival-add: 2.0ms (7.4% of total)
ival-sub: 2.0ms (7.4% of total)
ival-mult: 2.0ms (7.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
7.328787919261962e+22
4.0805485035185034e+23
Samples
19.0ms89×1valid
1.0ms24×0invalid
1.0ms0valid
Compiler

Compiled 732 to 453 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-pow: 9.0ms (51.2% of total)
adjust: 3.0ms (17.1% of total)
ival-div: 3.0ms (17.1% of total)
ival-add: 1.0ms (5.7% of total)
ival-sub: 1.0ms (5.7% of total)
ival-mult: 1.0ms (5.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify56.0ms (0.5%)

Memory
-27.4MiB live, 18.9MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02622257
13532229
26342229
319722197
Stop Event
node limit
Calls
Call 1
Inputs
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(if (<=.f64 n #s(literal -3546180557675503/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n))) (if (<=.f64 n #s(literal 8189640480253831/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456 binary64)) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n)) (if (<=.f64 n #s(literal 279564095785883/151115727451828646838272 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n))) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n))))))
(if (<=.f64 n #s(literal -3546180557675503/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n))) (if (<=.f64 n #s(literal 5656418970444533/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (+ (* (* n i) (- (+ (/ 11/24 (* n n)) 1/24) (- (/ 1/4 n) (/ -1/4 (pow n 3))))) (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n)) #s(approx (* (+ (* (+ (* 1/24 i) 1/6) i) 1/2) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))) i n)))))
(if (<=.f64 i #s(literal -3500000000000000000000 binary64)) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n)) (if (<=.f64 i #s(literal 6000000000000000557000822232139194581342090714703046265907083287615405684918174795201778472545295752576587608589366421864833568271064588258172855153242392488155437810299176528254421517534402037722276896810442250309484828164096 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n))) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(if (<=.f64 i #s(literal 73999999999999995805696 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64)))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Outputs
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 7906338019816821/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928 binary64)) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))))
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 7906338019816821/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928 binary64)) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64))) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))))
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 7906338019816821/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))))
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 7906338019816821/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))))
(if (<=.f64 n #s(literal -7271779914256993/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 binary64)) (*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n) (if (<=.f64 n #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n)) (if (<=.f64 n #s(literal 7141613623096499/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) (*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) #s(literal 100 binary64)) n) (*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n))))
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(if (<=.f64 i #s(literal -31999999999999999295884236981045125579674364462969634584712103839016446055331439757661633581544336447032584589297186479002829833815396684651642748928 binary64)) (*.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))) (if (<=.f64 i #s(literal 24999999999999997800638875239307953478213216242381432545615342139669395394225320692739984774803008688526743585149967527793337040896 binary64)) (*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n) (if (<=.f64 i #s(literal 6000000000000000557000822232139194581342090714703046265907083287615405684918174795201778472545295752576587608589366421864833568271064588258172855153242392488155437810299176528254421517534402037722276896810442250309484828164096 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 100 binary64)) n) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))))))
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derivations574.0ms (5.5%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 2 261 to 270 computations (88.1% saved)

preprocess101.0ms (1%)

Memory
22.5MiB live, 68.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 4 632 to 596 computations (87.1% saved)

end0.0ms (0%)

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

Profiling

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