Compound Interest

Time bar (total: 9.6s)

start0.0ms (0%)

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

analyze290.0ms (3%)

Memory
-14.5MiB live, 223.9MiB allocated; 51ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
39.1%39%60.9%0.1%0%0%0%7
44.5%44.5%55.4%0.1%0%0%0%8
55.3%55%44.5%0.1%0%0.4%0%9
59.3%58.7%40.4%0.1%0%0.8%0%10
65.5%64.5%34%0.1%0%1.5%0%11
67.8%66.6%31.6%0.1%0%1.8%0%12
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample4.3s (44.5%)

Memory
87.9MiB live, 5 970.5MiB allocated; 1.1s collecting garbage
Samples
1.8s4 481×1valid
1.4s1 736×2valid
242.0ms1 976×0invalid
234.0ms1 981×0valid
59.0ms58×3valid
2.0ms22×1exit
Precisions
Click to see histograms. Total time spent on operations: 3.2s
ival-pow: 2.3s (73.8% of total)
ival-div!: 265.0ms (8.4% of total)
adjust: 262.0ms (8.3% of total)
ival-sub!: 120.0ms (3.8% of total)
ival-mult!: 119.0ms (3.8% of total)
ival-add!: 62.0ms (2% of total)
Bogosity

preprocess36.0ms (0.4%)

Memory
10.4MiB live, 56.1MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032100
110398
235496
3127492
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶27.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 24 to 20 computations (16.7% saved)

series27.0ms (0.3%)

Memory
-1.7MiB live, 44.6MiB allocated; 3ms collecting garbage
Counts
10 → 93
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 (/ i n))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (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 (+ (/ 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 (* 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
8.0ms
i
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
5.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
4.0ms
n
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
3.0ms
n
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
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)

rewrite211.0ms (2.2%)

Memory
4.8MiB live, 284.7MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06245385
06354939
142694778
084814354
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
103 → 124
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)
i
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 1))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (+ 1 (/ i n))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (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 (+ (/ 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))))
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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 (* 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)))))))
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#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
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) i) n))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n))) (/.f64 i n))
#s(literal 100 binary64)
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(/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) (/.f64 i n))
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(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
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#s(literal 1 binary64)
(/.f64 (neg.f64 i) (neg.f64 n))
(/.f64 i n)
i
n
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) n) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) n (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (*.f64 (*.f64 n n) n)) i))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) n) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (*.f64 n n) n) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) i) (*.f64 n (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n))) (*.f64 i i)))))) i))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) n (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (*.f64 (*.f64 n n) n)) i)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) n (fma.f64 (*.f64 (*.f64 n n) n) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) i) (*.f64 n (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n))) (*.f64 i i))))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) n (fma.f64 n (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n))) (*.f64 i i)) (fma.f64 (*.f64 (*.f64 n n) n) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) i) (*.f64 n (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 n n)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) i))))))) i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) i) (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) i) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n))) (*.f64 i i))) (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 i i)) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) i) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 n n)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) i))))) (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n))) #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) i) (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) i) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n))) (*.f64 i i))) (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 i i)) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) i) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 n n)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) i))))) (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n))))
#s(approx (+ 1 (/ i n)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) n (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (*.f64 (*.f64 n n) n)) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) n) #s(literal -100 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (*.f64 (*.f64 n n) n) (*.f64 n (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i))))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) n) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) n)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) n) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n)))) (*.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 n n)) #s(literal 1/2 binary64)))) i))) #s(literal 100 binary64))) i))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (*.f64 (*.f64 n n) n)) i)) (neg.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) n))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (*.f64 (*.f64 n n) n) (*.f64 n (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i)))) i)) (neg.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) n))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (*.f64 (*.f64 n n) n) (neg.f64 (/.f64 (fma.f64 n (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 n n)) #s(literal 1/2 binary64)))) i)) (neg.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n)))) n))) i))) i)) (neg.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) n))) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) i) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i))) (neg.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (*.f64 n n)))) i)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (neg.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 n n)) #s(literal 1/2 binary64)))) i)))) i)) (neg.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (*.f64 n n)))) i)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n))) #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) i) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i))) (neg.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (*.f64 n n)))) i)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (neg.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 n n)) #s(literal 1/2 binary64)))) i)))) i)) (neg.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (*.f64 n n)))) i)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 n n)) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) n (/.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) i))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))) (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))))) n (*.f64 (/.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (*.f64 i i) i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) (*.f64 i i)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 i i) i) i))))) n (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))))) n (*.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) #s(literal 100 binary64))) n (*.f64 (/.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 n n)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) n (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) i) #s(literal 1/2 binary64) (fma.f64 n (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) n (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) i) #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (*.f64 i i) i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) (*.f64 i i)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 i i) i) i))))) n (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) n (/.f64 #s(literal 1 binary64) (*.f64 i i)))) n (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (*.f64 n n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) #s(literal 1/2 binary64) (fma.f64 n (-.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) i))) n)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 4 binary64)) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i))))) n (/.f64 (log.f64 i) i))) (/.f64 (neg.f64 (log.f64 n)) i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) n (/.f64 #s(literal 1 binary64) i))) n)) n))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (+.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n)) n #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 n (+.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) #s(literal 1/2 binary64) (fma.f64 n (-.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) i))) n)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ i n)) (/.f64 (+.f64 n i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 (*.f64 n n) i)) (/.f64 (expm1.f64 i) i)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (fma.f64 (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (*.f64 (*.f64 n n) n) i)) (*.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 (*.f64 n n) i)) (/.f64 (expm1.f64 i) i))))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 (*.f64 n n) i)) (/.f64 (exp.f64 i) i))) (/.f64 #s(literal 1 binary64) i)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (-.f64 (+.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (fma.f64 (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (*.f64 (*.f64 (*.f64 n n) n) i)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 (*.f64 n n) i))) (/.f64 (exp.f64 i) i)) (/.f64 #s(literal 1 binary64) i))) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (fma.f64 (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (*.f64 n n) n)))) #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (exp.f64 i))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (fma.f64 (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (*.f64 n n) n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 50 binary64))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n i)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) n))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) #s(literal 1/4 binary64)))) (exp.f64 i)) (*.f64 n i)) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) n))) n))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n i))) n)) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i)))) n))) n)) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) (*.f64 i i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) n)))) n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) #s(literal 1/4 binary64)))) n)))) n))) n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) (*.f64 i i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) n)))) n)) (exp.f64 i)))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) #s(literal 1/4 binary64)))) n)))) n))) n)) (exp.f64 i)))

eval16.0ms (0.2%)

Memory
-8.5MiB live, 36.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 3 036 to 806 computations (73.5% saved)

prune12.0ms (0.1%)

Memory
-14.2MiB live, 33.1MiB allocated; 2ms collecting garbage
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New10216118
Fresh000
Picked011
Done000
Total10217119
Accuracy
99.8%
Counts
119 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.5%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n))) (/.f64 i n))
32.5%
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) i) n) #s(literal 100 binary64))
✓27.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
10.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
13.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
15.9%
(*.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)))
▶32.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) (/.f64 i n)))
42.8%
(*.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)))
▶18.1%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (/.f64 i n)))
▶62.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
37.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
54.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
▶72.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
▶46.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
26.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) n) #s(literal 100 binary64)) i))
66.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
16.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 n n)) i) #s(literal 100 binary64)))
Compiler

Compiled 516 to 492 computations (4.7% saved)

series175.0ms (1.8%)

Memory
4.0MiB live, 249.4MiB allocated; 41ms collecting garbage
Counts
28 → 131
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (expm1.f64 i) n) i)
(*.f64 (expm1.f64 i) n)
(expm1.f64 i)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (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))
(/.f64 i n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n))
(*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)
(log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 i (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) (/.f64 i n)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) (/.f64 i n))
(expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n))
(*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)
(log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)))
(+.f64 (/.f64 i n) #s(literal 1 binary64))
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 (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* 1/2 (* i n)))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i n)))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i (+ n (* 1/2 (* i n))))))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n)))))))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n)))))))))
#s(approx (- (exp i) 1) #s(hole binary64 i))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx (* (log (* i (/ 1 n))) n) #s(hole binary64 (* n (+ (log i) (log (/ 1 n))))))
#s(approx (log (* i (/ 1 n))) #s(hole binary64 (+ (log i) (log (/ 1 n)))))
#s(approx (* (log (+ (/ i n) 1)) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ (/ i n) 1)) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ (/ i n) 1)) 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 (+ (/ i n) 1)) #s(hole binary64 (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))))
#s(approx (log (+ (/ i n) 1)) #s(hole binary64 (* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (log (+ (/ i n) 1)) #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) 1) #s(hole binary64 1))
#s(approx (+ (/ i n) 1) #s(hole binary64 (+ 1 (/ i n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* n (- (exp i) 1))))
#s(approx (- (exp i) 1) #s(hole binary64 (- (exp i) 1)))
#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 (* (log (* i (/ 1 n))) n) #s(hole binary64 (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
#s(approx (log (* i (/ 1 n))) #s(hole binary64 (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
#s(approx (* (log (+ (/ i n) 1)) n) #s(hole binary64 (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))
#s(approx (* (log (+ (/ i n) 1)) 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 (+ (/ i n) 1)) 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 (+ (/ i n) 1)) #s(hole binary64 (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (/ n i)))))
#s(approx (log (+ (/ i n) 1)) #s(hole binary64 (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i))))))
#s(approx (log (+ (/ i n) 1)) #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 (+ (/ i n) 1) #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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Calls

6 calls:

TimeVariablePointExpression
42.0ms
n
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (/ i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (log (* i (/ 1 n))) n) (log (* i (/ 1 n))) (* i (/ 1 n)) (/ 1 n) 1 (* 100 (/ (- (exp (* (log (+ (/ i n) 1)) n)) 1) (/ i n))) (/ (- (exp (* (log (+ (/ i n) 1)) n)) 1) (/ i n)) (- (exp (* (log (+ (/ i n) 1)) n)) 1) (* (log (+ (/ i n) 1)) n) (log (+ (/ i n) 1)) (+ (/ i n) 1))
39.0ms
i
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (/ i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (log (* i (/ 1 n))) n) (log (* i (/ 1 n))) (* i (/ 1 n)) (/ 1 n) 1 (* 100 (/ (- (exp (* (log (+ (/ i n) 1)) n)) 1) (/ i n))) (/ (- (exp (* (log (+ (/ i n) 1)) n)) 1) (/ i n)) (- (exp (* (log (+ (/ i n) 1)) n)) 1) (* (log (+ (/ i n) 1)) n) (log (+ (/ i n) 1)) (+ (/ i n) 1))
32.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (/ i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (log (* i (/ 1 n))) n) (log (* i (/ 1 n))) (* i (/ 1 n)) (/ 1 n) 1 (* 100 (/ (- (exp (* (log (+ (/ i n) 1)) n)) 1) (/ i n))) (/ (- (exp (* (log (+ (/ i n) 1)) n)) 1) (/ i n)) (- (exp (* (log (+ (/ i n) 1)) n)) 1) (* (log (+ (/ i n) 1)) n) (log (+ (/ i n) 1)) (+ (/ i n) 1))
30.0ms
n
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (/ i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (log (* i (/ 1 n))) n) (log (* i (/ 1 n))) (* i (/ 1 n)) (/ 1 n) 1 (* 100 (/ (- (exp (* (log (+ (/ i n) 1)) n)) 1) (/ i n))) (/ (- (exp (* (log (+ (/ i n) 1)) n)) 1) (/ i n)) (- (exp (* (log (+ (/ i n) 1)) n)) 1) (* (log (+ (/ i n) 1)) n) (log (+ (/ i n) 1)) (+ (/ i n) 1))
17.0ms
i
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (/ i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (log (* i (/ 1 n))) n) (log (* i (/ 1 n))) (* i (/ 1 n)) (/ 1 n) 1 (* 100 (/ (- (exp (* (log (+ (/ i n) 1)) n)) 1) (/ i n))) (/ (- (exp (* (log (+ (/ i n) 1)) n)) 1) (/ i n)) (- (exp (* (log (+ (/ i n) 1)) n)) 1) (* (log (+ (/ i n) 1)) n) (log (+ (/ i n) 1)) (+ (/ i n) 1))

rewrite228.0ms (2.4%)

Memory
49.0MiB live, 265.6MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08906106
09235642
160445642
080715122
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
159 → 217
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (expm1.f64 i) n) i)
(*.f64 (expm1.f64 i) n)
(expm1.f64 i)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (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))
(/.f64 i n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (/.f64 i n)))
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#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 (log (* i (/ 1 n))) #s(hole binary64 (+ (log i) (* -1 (log n)))))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx (* (log (+ (/ i n) 1)) n) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (/ n i))))))
#s(approx (* (log (+ (/ i n) 1)) n) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))))))
#s(approx (* (log (+ (/ i n) 1)) 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 (+ (/ i n) 1)) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (/ n i)))))
#s(approx (log (+ (/ i n) 1)) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))))
#s(approx (log (+ (/ i n) 1)) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
#s(approx (+ (/ i n) 1) #s(hole binary64 (/ (+ i n) 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 (- (+ (* -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) (* -1/2 (/ (* (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 n) 1)) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ (/ i n) 1)) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ (/ i n) 1)) 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 (+ (/ i n) 1)) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ (/ i n) 1)) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ (/ i n) 1)) #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 (* -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 (* (log (* i (/ 1 n))) n) #s(hole binary64 (* n (+ (log (* -1 i)) (log (/ -1 n))))))
#s(approx (log (* i (/ 1 n))) #s(hole binary64 (+ (log (* -1 i)) (log (/ -1 n)))))
#s(approx (* (log (+ (/ i n) 1)) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ (/ i n) 1)) 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 (+ (/ i n) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ (/ i n) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ (/ i n) 1)) #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))))
Outputs
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
#s(literal 100 binary64)
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(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
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(/.f64 (*.f64 (expm1.f64 i) n) i)
(*.f64 (expm1.f64 i) n)
(*.f64 n (expm1.f64 i))
(/.f64 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) #s(literal 1 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
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(expm1.f64 i)
(-.f64 (exp.f64 i) #s(literal 1 binary64))
i
n
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n)
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(/.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))
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(/.f64 i n)
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) i) n) #s(literal 100 binary64))
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(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))) (/.f64 i n))
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(/.f64 (neg.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))) (neg.f64 (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))
(*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)
(*.f64 n (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)))
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(fma.f64 n (log.f64 i) (*.f64 n (neg.f64 (log.f64 n))))
(+.f64 (*.f64 n (log.f64 i)) (*.f64 n (neg.f64 (log.f64 n))))
(+.f64 (*.f64 (log.f64 i) n) (*.f64 (neg.f64 (log.f64 n)) n))
(log.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i) n))
(/.f64 (-.f64 (*.f64 (log.f64 i) (log.f64 i)) (*.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n)))) (log.f64 (/.f64 i (/.f64 #s(literal 1 binary64) n))))
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(fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i))
(fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))
(-.f64 (log.f64 (*.f64 i #s(literal 1 binary64))) (log.f64 n))
(-.f64 (log.f64 i) (*.f64 #s(literal 1 binary64) (log.f64 n)))
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(+.f64 (log.f64 i) (neg.f64 (log.f64 n)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))
(*.f64 (/.f64 #s(literal 1 binary64) n) i)
(*.f64 i (/.f64 #s(literal 1 binary64) n))
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(pow.f64 n #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
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(exp.f64 (neg.f64 (log.f64 n)))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) i) n) #s(literal 100 binary64))
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(*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) i) n)
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(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)))
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(expm1.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))))) n))
(expm1.f64 (*.f64 (log.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))
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(*.f64 n (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.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 (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 i (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) n))) n) i (*.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))) (*.f64 n #s(literal 100 binary64))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 (-.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 i (fma.f64 (fma.f64 (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) n))) n) i (*.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)) n))
#s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))
#s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n))
#s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))
#s(approx (* (- (exp i) 1) n) (*.f64 n i))
#s(approx (* (- (exp i) 1) n) (*.f64 (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n) i))
#s(approx (* (- (exp i) 1) n) (*.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n) i))
#s(approx (* (- (exp i) 1) n) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n) i))
#s(approx (- (exp i) 1) i)
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.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 (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) n))) i (/.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 (/ i n) (/.f64 i n))
#s(approx (* (log (* i (/ 1 n))) n) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))
#s(approx (log (* i (/ 1 n))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)))
#s(approx (* (log (+ (/ i n) 1)) n) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) #s(literal 1 binary64)) i))
#s(approx (* (log (+ (/ i n) 1)) 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 (+ (/ i n) 1)) n) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (*.f64 (*.f64 n n) n)) #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 (+ (/ i n) 1)) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i))
#s(approx (log (+ (/ i n) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 (*.f64 n n) n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) i (/.f64 #s(literal 1 binary64) n)) i))
#s(approx (log (+ (/ i n) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (*.f64 (*.f64 n n) (*.f64 n n))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n n) n))) i) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) i (/.f64 #s(literal 1 binary64) n)) i))
#s(approx (+ (/ i n) 1) #s(literal 1 binary64))
#s(approx (+ (/ i n) 1) (+.f64 (/.f64 i n) #s(literal 1 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (*.f64 (*.f64 n n) n)) i))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) n) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (*.f64 n n) n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (*.f64 n (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 i i)))))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) n) #s(literal 100 binary64) (fma.f64 (*.f64 n (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 i i))) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (*.f64 n n) n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (*.f64 n (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/3 binary64)))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 (*.f64 i i) i))))))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (*.f64 (*.f64 n n) n)) i)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (fma.f64 (*.f64 (*.f64 n n) n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (*.f64 n (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 i i))))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (fma.f64 n (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 i i)) (fma.f64 (*.f64 (*.f64 n n) n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (*.f64 n (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/3 binary64)))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 (*.f64 i i) i)))))) i))
#s(approx (/ (* (- (exp i) 1) n) i) (/.f64 (*.f64 (expm1.f64 i) n) i))
#s(approx (* (- (exp i) 1) n) (*.f64 (expm1.f64 i) n))
#s(approx (- (exp i) 1) (expm1.f64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 i i))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 i i)) (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) i)) (*.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i)))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (* (log (* i (/ 1 n))) n) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))
#s(approx (log (* i (/ 1 n))) (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))
#s(approx (* (log (+ (/ i n) 1)) n) (fma.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n (/.f64 (*.f64 n n) i)))
#s(approx (* (log (+ (/ i n) 1)) n) (fma.f64 (/.f64 (*.f64 (*.f64 n n) n) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n (/.f64 (*.f64 n n) i))))
#s(approx (* (log (+ (/ i n) 1)) n) (fma.f64 (/.f64 (*.f64 (*.f64 n n) n) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (*.f64 (*.f64 i i) i)) #s(literal 1/3 binary64) (fma.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n (/.f64 (*.f64 n n) i)))))
#s(approx (log (+ (/ i n) 1)) (+.f64 (neg.f64 (log.f64 n)) (+.f64 (/.f64 n i) (neg.f64 (neg.f64 (log.f64 i))))))
#s(approx (log (+ (/ i n) 1)) (+.f64 (neg.f64 (log.f64 n)) (+.f64 (fma.f64 (/.f64 (*.f64 n n) (*.f64 i i)) #s(literal -1/2 binary64) (/.f64 n i)) (neg.f64 (neg.f64 (log.f64 i))))))
#s(approx (log (+ (/ i n) 1)) (+.f64 (neg.f64 (log.f64 n)) (+.f64 (fma.f64 (/.f64 (*.f64 n n) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 i i) i)) #s(literal 1/3 binary64) (/.f64 n i))) (neg.f64 (neg.f64 (log.f64 i))))))
#s(approx (+ (/ i n) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) n)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) n (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (*.f64 (*.f64 n n) n)) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (*.f64 (*.f64 n n) n) (*.f64 n (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i))))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (*.f64 (*.f64 n n) n)) #s(literal 100 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n)))) n) #s(literal -100 binary64))) i))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (fma.f64 (neg.f64 n) (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (neg.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (*.f64 (*.f64 n n) n)) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (fma.f64 (neg.f64 n) (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (*.f64 (*.f64 n n) n) (*.f64 n (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i)))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (fma.f64 (neg.f64 n) (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (*.f64 (*.f64 n n) n) (neg.f64 (/.f64 (fma.f64 (neg.f64 n) (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n)))) (*.f64 n (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)))) i))) i))) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) i) (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 n n)) (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (neg.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i)))) i)) (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 n n)) (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (neg.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)))) i))) i)) (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n))) #s(literal 1 binary64)))
#s(approx (* (log (* i (/ 1 n))) n) (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n))
#s(approx (log (* i (/ 1 n))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))))
#s(approx (* (log (+ (/ i n) 1)) n) (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n))
#s(approx (* (log (+ (/ i n) 1)) n) (fma.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n (/.f64 (*.f64 n n) i)))
#s(approx (* (log (+ (/ i n) 1)) n) (fma.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 n n) n) i) #s(literal 1/2 binary64) (neg.f64 (*.f64 n n))) i))))
#s(approx (* (log (+ (/ i n) 1)) n) (fma.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 n n) (*.f64 n n)) i) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i)) (neg.f64 (*.f64 n n))) i))))
#s(approx (log (+ (/ i n) 1)) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))))
#s(approx (log (+ (/ i n) 1)) (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) (/.f64 n i)))
#s(approx (log (+ (/ i n) 1)) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 n n) i) #s(literal 1/2 binary64) (neg.f64 n)) i)) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) (neg.f64 (log.f64 (neg.f64 n)))))
#s(approx (log (+ (/ i n) 1)) (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 n) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 n n) n) i) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 n n))) i))) i)) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) (neg.f64 (log.f64 (neg.f64 n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) n (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) i))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))) (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))))) n (*.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 (*.f64 i i) i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) (*.f64 i i)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) n (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))))) n (*.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) #s(literal 100 binary64))) n (*.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) n (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) i) #s(literal 1/2 binary64) (fma.f64 n (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) n (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) i) #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 (*.f64 i i) i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) (*.f64 i i)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) n (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) n (/.f64 #s(literal 1 binary64) (*.f64 i i)))) n (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (*.f64 n n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) #s(literal 1/2 binary64) (fma.f64 n (-.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) i))) n)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 4 binary64)) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i))))) n (/.f64 (log.f64 i) i))) (/.f64 (neg.f64 (log.f64 n)) i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) n (/.f64 #s(literal 1 binary64) i))) n)) n))
#s(approx (log (* i (/ 1 n))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)))
#s(approx (/ 1 n) (/.f64 #s(literal 1 binary64) n))
#s(approx (* (log (+ (/ i n) 1)) n) (*.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (/.f64 n i)) n))
#s(approx (* (log (+ (/ i n) 1)) n) (*.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 (fma.f64 (/.f64 n (*.f64 i i)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n)) n))
#s(approx (* (log (+ (/ i n) 1)) n) (*.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 n (*.f64 (*.f64 i i) i)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) n (/.f64 #s(literal 1 binary64) i)) n)) n))
#s(approx (log (+ (/ i n) 1)) (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (/.f64 n i)))
#s(approx (log (+ (/ i n) 1)) (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 (fma.f64 (/.f64 n (*.f64 i i)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n)))
#s(approx (log (+ (/ i n) 1)) (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 n (*.f64 (*.f64 i i) i)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) n (/.f64 #s(literal 1 binary64) i)) n)))
#s(approx (+ (/ i n) 1) (/.f64 (+.f64 n i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 (*.f64 n n) i)) (/.f64 (expm1.f64 i) i)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (*.f64 (*.f64 n n) n) i)) (*.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 (*.f64 n n) i)) (/.f64 (expm1.f64 i) i))))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 (*.f64 n n) i)) (/.f64 (exp.f64 i) i))) (/.f64 #s(literal 1 binary64) i)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (-.f64 (+.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (*.f64 (*.f64 (*.f64 n n) n) i)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 (*.f64 n n) i))) (/.f64 (exp.f64 i) i)) (/.f64 #s(literal 1 binary64) i))) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (*.f64 n n) n)))) #s(literal 1 binary64)))
#s(approx (* (log (+ (/ i n) 1)) n) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i))
#s(approx (* (log (+ (/ i n) 1)) n) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 i i) i) (*.f64 n n)) #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64))) i))
#s(approx (* (log (+ (/ i n) 1)) n) (+.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 n n) n)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64)) (*.f64 n n)))) i))
#s(approx (log (+ (/ i n) 1)) (/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i) n))
#s(approx (log (+ (/ i n) 1)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 i i) i) (*.f64 n n)) #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64))) i) n))
#s(approx (log (+ (/ i n) 1)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 n n) n)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64)) (*.f64 n n)))) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 50 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n i)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 1/4 binary64)))) (exp.f64 i)) (*.f64 n i)) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) n))) n)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n i))) n)) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i)))) n))) n)) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) n)))) n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 1/4 binary64)))) n)))) n))) n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (* (log (* i (/ 1 n))) n) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))) n))
#s(approx (log (* i (/ 1 n))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))))
#s(approx (* (log (+ (/ i n) 1)) n) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 i i) i) n) #s(literal -1/3 binary64) (*.f64 (*.f64 i i) #s(literal 1/2 binary64))) n)) i))
#s(approx (* (log (+ (/ i n) 1)) n) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) n) #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) n))) n)) i))
#s(approx (log (+ (/ i n) 1)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) n)))
#s(approx (log (+ (/ i n) 1)) (neg.f64 (/.f64 (+.f64 (neg.f64 i) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/3 binary64) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n))) n)))
#s(approx (log (+ (/ i n) 1)) (neg.f64 (/.f64 (+.f64 (neg.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 i i) i))) n))) n))) n)))

eval893.0ms (9.3%)

Memory
-101.7MiB live, 243.2MiB allocated; 1.3s collecting garbage
Compiler

Compiled 4 041 to 1 367 computations (66.2% saved)

prune24.0ms (0.2%)

Memory
-21.4MiB live, 24.1MiB allocated; 7ms collecting garbage
Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New18812200
Fresh4711
Picked235
Done011
Total19423217
Accuracy
100.0%
Counts
217 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.1%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))) (/.f64 i n))
62.9%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
32.5%
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) i) n) #s(literal 100 binary64))
18.2%
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) i) n) #s(literal 100 binary64))
75.8%
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
✓27.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
10.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
▶13.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
15.9%
(*.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)))
▶79.8%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
✓32.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) (/.f64 i n)))
11.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) n)) (/.f64 i n)))
37.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
54.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
✓72.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
▶54.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
▶50.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
▶58.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
54.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
✓46.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
26.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) n) #s(literal 100 binary64)) i))
66.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
16.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i) #s(literal 100 binary64)))
Compiler

Compiled 705 to 676 computations (4.1% saved)

series45.0ms (0.5%)

Memory
0.5MiB live, 51.1MiB allocated; 20ms collecting garbage
Counts
39 → 172
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i))
(/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)
(*.f64 #s(approx (- (exp i) 1) i) n)
#s(approx (- (exp i) 1) i)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64)))
(+.f64 i #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i))
(/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)
(*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n)
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n)))
#s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))
(fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n)
(fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n))
(fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n))
(*.f64 n i)
#s(literal 1/24 binary64)
(*.f64 #s(literal 1/6 binary64) n)
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/2 binary64) n)
Outputs
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
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#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 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 (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow n 3)) (* 1/3 (/ (pow n 4) i))) i)) (* -1 (pow n 2))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
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#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 (pow n 2)) (* 1/3 (/ (pow n 3) i))) i))) i))))))
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#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -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 (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) #s(hole binary64 (* -1 (* (pow i 3) (+ (* -1/6 (/ n i)) (* -1/24 n))))))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) #s(hole binary64 (* -1 (* (pow i 3) (+ (* -1 (/ (+ (* 1/6 n) (* 1/2 (/ n i))) i)) (* -1/24 n))))))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) #s(hole binary64 (* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n i)) (* -1/2 n)) i)) (* 1/6 n)) i)) (* -1/24 n))))))
#s(approx (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) #s(hole binary64 (* (pow i 2) (+ (* -1 (/ (+ (* -1/2 (/ n i)) (* -1/6 n)) i)) (* 1/24 n)))))
#s(approx (+ (* (* n i) 1/24) (* 1/6 n)) #s(hole binary64 (* -1 (* i (+ (* -1/6 (/ n i)) (* -1/24 n))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#s(approx (* 100 (/ (- (exp (* (log (+ 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 (/ (- (exp (* (log (+ 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 (/ (- (exp (* (log (+ 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 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#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)) (/ 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)) (/ (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)) (/ n i))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (* -1 (log n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (/ n i)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))))
#s(approx (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) #s(hole binary64 (* n (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
#s(approx (+ (* (* n i) 1/24) (* 1/6 n)) #s(hole binary64 (* n (+ 1/6 (* 1/24 i)))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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 (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 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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 (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* i (- (* -1/24 i) 1/6)) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/24 i) 1/6)) 1/2)))))
#s(approx (+ (* (* n i) 1/24) (* 1/6 n)) #s(hole binary64 (* -1 (* n (- (* -1/24 i) 1/6)))))
Calls

6 calls:

TimeVariablePointExpression
21.0ms
n
@0
((* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ i 1) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (* (+ (* 1/2 i) 1) i) (+ (* 1/2 i) 1) 1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) (+ (* (* n i) 1/24) (* 1/6 n)) (* n i) 1/24 (* 1/6 n) 1/6 (* 1/2 n))
4.0ms
n
@-inf
((* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ i 1) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (* (+ (* 1/2 i) 1) i) (+ (* 1/2 i) 1) 1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) (+ (* (* n i) 1/24) (* 1/6 n)) (* n i) 1/24 (* 1/6 n) 1/6 (* 1/2 n))
4.0ms
i
@-inf
((* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ i 1) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (* (+ (* 1/2 i) 1) i) (+ (* 1/2 i) 1) 1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) (+ (* (* n i) 1/24) (* 1/6 n)) (* n i) 1/24 (* 1/6 n) 1/6 (* 1/2 n))
4.0ms
i
@inf
((* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ i 1) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (* (+ (* 1/2 i) 1) i) (+ (* 1/2 i) 1) 1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) (+ (* (* n i) 1/24) (* 1/6 n)) (* n i) 1/24 (* 1/6 n) 1/6 (* 1/2 n))
4.0ms
n
@inf
((* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ i 1) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (* (+ (* 1/2 i) 1) i) (+ (* 1/2 i) 1) 1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) (+ (* (* n i) 1/24) (* 1/6 n)) (* n i) 1/24 (* 1/6 n) 1/6 (* 1/2 n))

rewrite258.0ms (2.7%)

Memory
26.4MiB live, 211.7MiB allocated; 85ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010147686
010547083
166157083
087486617
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
211 → 294
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
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#s(approx (- (exp (* (log (+ 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 (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))) (/ (pow n 2) i))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (pow n 2)) (* 1/2 (/ (pow n 3) i))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow n 3)) (* 1/3 (/ (pow n 4) i))) i)) (* -1 (pow n 2))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (/ n i)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* 1/2 (/ (pow n 2) i))) i))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 (pow n 2)) (* 1/3 (/ (pow n 3) i))) i))) i))))))
#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 (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) #s(hole binary64 (* -1 (* (pow i 3) (+ (* -1/6 (/ n i)) (* -1/24 n))))))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) #s(hole binary64 (* -1 (* (pow i 3) (+ (* -1 (/ (+ (* 1/6 n) (* 1/2 (/ n i))) i)) (* -1/24 n))))))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) #s(hole binary64 (* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n i)) (* -1/2 n)) i)) (* 1/6 n)) i)) (* -1/24 n))))))
#s(approx (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) #s(hole binary64 (* (pow i 2) (+ (* -1 (/ (+ (* -1/2 (/ n i)) (* -1/6 n)) i)) (* 1/24 n)))))
#s(approx (+ (* (* n i) 1/24) (* 1/6 n)) #s(hole binary64 (* -1 (* i (+ (* -1/6 (/ n i)) (* -1/24 n))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#s(approx (* 100 (/ (- (exp (* (log (+ 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 (/ (- (exp (* (log (+ 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 (/ (- (exp (* (log (+ 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 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#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)) (/ 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)) (/ (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)) (/ n i))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (* -1 (log n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (/ n i)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))))
#s(approx (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) #s(hole binary64 (* n (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
#s(approx (+ (* (* n i) 1/24) (* 1/6 n)) #s(hole binary64 (* n (+ 1/6 (* 1/24 i)))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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 (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 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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 (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* i (- (* -1/24 i) 1/6)) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/24 i) 1/6)) 1/2)))))
#s(approx (+ (* (* n i) 1/24) (* 1/6 n)) #s(hole binary64 (* -1 (* n (- (* -1/24 i) 1/6)))))
Outputs
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n))) n)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n))) n)) i) n))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n))) n))) (/.f64 i n))
#s(literal 100 binary64)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n))) n)) i) n)
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n))) n))) (neg.f64 (/.f64 i n)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n))) n)) (/.f64 i n))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) (/.f64 i n)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n))) n) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n))))) n))
(expm1.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n))) n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n))) n)
(*.f64 n (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n))))
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#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) (*.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) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) n))) i (/.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 (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) #s(literal 1 binary64)) i))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (*.f64 (*.f64 n n) n)) #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))) (/.f64 i n))
#s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i))
#s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 (*.f64 n n) n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) i (/.f64 #s(literal 1 binary64) n)) i))
#s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (*.f64 (*.f64 n n) (*.f64 n n))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n n) n))) i) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) i (/.f64 #s(literal 1 binary64) n)) i))
#s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))
#s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n))
#s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i (*.f64 #s(literal 1/2 binary64) n)) i n))
#s(approx (* (- (exp i) 1) n) (*.f64 n i))
#s(approx (* (- (exp i) 1) n) (*.f64 (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n) i))
#s(approx (* (- (exp i) 1) n) (*.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n) i))
#s(approx (* (- (exp i) 1) n) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i (*.f64 #s(literal 1/2 binary64) n)) i n) i))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.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(literal 1 binary64)))
#s(approx (+ (* 1/2 i) 1) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) (*.f64 #s(literal 1/2 binary64) n))
#s(approx (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)))
#s(approx (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i (*.f64 #s(literal 1/2 binary64) n)))
#s(approx (+ (* (* n i) 1/24) (* 1/6 n)) (*.f64 #s(literal 1/6 binary64) n))
#s(approx (+ (* (* n i) 1/24) (* 1/6 n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) i))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (*.f64 (*.f64 n n) n)) i))) i))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) n) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (*.f64 n n) n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) n) (*.f64 i i))))) i))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) n) #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) n) (*.f64 i i)) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (*.f64 n n) n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/3 binary64)))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) n) (*.f64 (*.f64 i i) i)))))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (*.f64 (*.f64 n n) n)) i)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (fma.f64 (*.f64 (*.f64 n n) n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) n) (*.f64 i i)))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (fma.f64 n (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 i i)) (fma.f64 (*.f64 (*.f64 n n) n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/3 binary64)))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) n) (*.f64 (*.f64 i i) i))))) i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 i i))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 i i)) (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) i)) (*.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i)))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n (/.f64 (*.f64 n n) i)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (*.f64 (*.f64 n n) n) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n (/.f64 (*.f64 n n) i))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (*.f64 (*.f64 n n) n) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (*.f64 (*.f64 i i) i)) #s(literal 1/3 binary64) (fma.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n (/.f64 (*.f64 n n) i)))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (neg.f64 (log.f64 n)) (+.f64 (/.f64 n i) (neg.f64 (neg.f64 (log.f64 i))))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (neg.f64 (log.f64 n)) (+.f64 (fma.f64 (/.f64 (*.f64 n n) (*.f64 i i)) #s(literal -1/2 binary64) (/.f64 n i)) (neg.f64 (neg.f64 (log.f64 i))))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (neg.f64 (log.f64 n)) (+.f64 (fma.f64 (/.f64 (*.f64 n n) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 i i) i)) #s(literal 1/3 binary64) (/.f64 n i))) (neg.f64 (neg.f64 (log.f64 i))))))
#s(approx (/ (* (- (exp i) 1) n) i) (/.f64 (*.f64 (expm1.f64 i) n) i))
#s(approx (* (- (exp i) 1) n) (*.f64 (expm1.f64 i) n))
#s(approx (- (exp i) 1) (expm1.f64 i))
#s(approx (pow (+ 1 (/ i n)) n) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 i i))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 i i)) (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) i)) (*.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i)))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))))
#s(approx (+ i 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)) i))
#s(approx (* (+ (* 1/2 i) 1) i) (*.f64 (*.f64 i i) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/2 i) 1) i) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1/2 binary64)) (*.f64 i i)))
#s(approx (+ (* 1/2 i) 1) (*.f64 #s(literal 1/2 binary64) i))
#s(approx (+ (* 1/2 i) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1/2 binary64)) i))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) n)) (*.f64 (*.f64 i i) i)))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (fma.f64 #s(literal 1/24 binary64) n (fma.f64 (/.f64 n (*.f64 i i)) #s(literal 1/2 binary64) (*.f64 (/.f64 n i) #s(literal 1/6 binary64)))) (*.f64 (*.f64 i i) i)))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (fma.f64 #s(literal 1/24 binary64) n (fma.f64 (/.f64 n i) #s(literal 1/6 binary64) (fma.f64 (/.f64 n (*.f64 i i)) #s(literal 1/2 binary64) (/.f64 n (*.f64 (*.f64 i i) i))))) (*.f64 (*.f64 i i) i)))
#s(approx (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) n)) (*.f64 i i)))
#s(approx (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) n (fma.f64 (/.f64 n (*.f64 i i)) #s(literal 1/2 binary64) (*.f64 (/.f64 n i) #s(literal 1/6 binary64)))) (*.f64 i i)))
#s(approx (+ (* (* n i) 1/24) (* 1/6 n)) (*.f64 (*.f64 n i) #s(literal 1/24 binary64)))
#s(approx (+ (* (* n i) 1/24) (* 1/6 n)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) n)) i))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (*.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) i)) #s(literal 100 binary64)))
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#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (*.f64 (*.f64 n n) n) (*.f64 n (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i))))) i))) i)))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (*.f64 (*.f64 n n) n)) #s(literal 100 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n)))) n) #s(literal -100 binary64))) i))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (fma.f64 (neg.f64 n) (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (neg.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (*.f64 (*.f64 n n) n)) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (fma.f64 (neg.f64 n) (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (*.f64 (*.f64 n n) n) (*.f64 n (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i)))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (fma.f64 (neg.f64 n) (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (*.f64 (*.f64 n n) n) (neg.f64 (/.f64 (fma.f64 (neg.f64 n) (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n)))) (*.f64 n (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)))) i))) i))) i)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) i) (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 n n)) (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (neg.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i)))) i)) (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 n n)) (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (neg.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)))) i))) i)) (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n))) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n (/.f64 (*.f64 n n) i)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 n n) n) i) #s(literal 1/2 binary64) (neg.f64 (*.f64 n n))) i))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 n n) (*.f64 n n)) i) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i)) (neg.f64 (*.f64 n n))) i))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) (/.f64 n i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 n n) i) #s(literal 1/2 binary64) (neg.f64 n)) i)) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) (neg.f64 (log.f64 (neg.f64 n)))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 n) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 n n) n) i) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 n n))) i))) i)) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) (neg.f64 (log.f64 (neg.f64 n)))))
#s(approx (pow (+ 1 (/ i n)) n) (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) i) (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 n n)) (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (neg.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i)))) i)) (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 n n)) (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (neg.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)))) i))) i)) (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n))))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (neg.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) n (*.f64 #s(literal -1/6 binary64) (/.f64 n i))) (*.f64 (*.f64 i i) i))))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (neg.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) n (neg.f64 (/.f64 (fma.f64 (/.f64 n i) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) n)) i))) (*.f64 (*.f64 i i) i))))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (neg.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) n (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) n (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 (neg.f64 n) i)) i))) i))) (*.f64 (*.f64 i i) i))))
#s(approx (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) n (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) n (*.f64 (/.f64 n i) #s(literal -1/2 binary64))) i))) (*.f64 i i)))
#s(approx (+ (* (* n i) 1/24) (* 1/6 n)) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1/24 binary64) n (*.f64 #s(literal -1/6 binary64) (/.f64 n i)))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 n n)) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) n (/.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) i))) (*.f64 n n)))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))) (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))))) n (*.f64 (/.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (*.f64 i i) i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) (*.f64 i i)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) n (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))))) n (*.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) #s(literal 100 binary64))) n (*.f64 (/.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 n n)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) n (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) i) #s(literal 1/2 binary64) (fma.f64 n (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) n (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) i) #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (*.f64 i i) i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) (*.f64 i i)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) n (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) n (/.f64 #s(literal 1 binary64) (*.f64 i i)))) n (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (*.f64 n n)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n)) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) #s(literal 1/2 binary64) (fma.f64 n (-.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) i))) n)) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 4 binary64)) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i))))) n (/.f64 (log.f64 i) i))) (/.f64 (neg.f64 (log.f64 n)) i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) n (/.f64 #s(literal 1 binary64) i))) n)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (/.f64 n i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (fma.f64 (/.f64 n (*.f64 i i)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 n (*.f64 (*.f64 i i) i)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) n (/.f64 #s(literal 1 binary64) i)) n)) n))
#s(approx (log (+ 1 (/ i n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (/.f64 n i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (fma.f64 (/.f64 n (*.f64 i i)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 n (*.f64 (*.f64 i i) i)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) n (/.f64 #s(literal 1 binary64) i)) n)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (+.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n)) n #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 n (+.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n)))) #s(literal 1/2 binary64) (fma.f64 n (-.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) i))) n)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 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))
#s(approx (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n))
#s(approx (+ (* (* n i) 1/24) (* 1/6 n)) (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 (*.f64 n n) i)) (/.f64 (expm1.f64 i) i)))) n))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (*.f64 (*.f64 n n) n) i)) (*.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 (*.f64 n n) i)) (/.f64 (expm1.f64 i) i))))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 (*.f64 n n) i)) (/.f64 (exp.f64 i) i))) (/.f64 #s(literal 1 binary64) i)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (-.f64 (+.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (*.f64 (*.f64 (*.f64 n n) n) i)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 (*.f64 n n) i))) (/.f64 (exp.f64 i) i)) (/.f64 #s(literal 1 binary64) i))) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (*.f64 (*.f64 n n) n)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n)))) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 i i) i) (*.f64 n n)) #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64))) i))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 n n) n)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64)) (*.f64 n n)))) i))
#s(approx (log (+ 1 (/ i n))) (/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i) n))
#s(approx (log (+ 1 (/ i n))) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 i i) i) (*.f64 n n)) #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64))) i) n))
#s(approx (log (+ 1 (/ i n))) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 n n) n)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64)) (*.f64 n n)))) i) n))
#s(approx (pow (+ 1 (/ i n)) n) (exp.f64 i))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (*.f64 (*.f64 n n) n)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n)))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 50 binary64)))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n i)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) n)))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 1/4 binary64)))) (exp.f64 i)) (*.f64 n i)) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) n))) n)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n i))) n)) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i)))) n))) n)) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) n)))) n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 1/4 binary64)))) n)))) n))) n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 i i) i) n) #s(literal -1/3 binary64) (*.f64 (*.f64 i i) #s(literal 1/2 binary64))) n)) i))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) n) #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) n))) n)) i))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) n)))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (+.f64 (neg.f64 i) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/3 binary64) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n))) n)))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (+.f64 (neg.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 i i) i))) n))) n))) n)))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) n)))) n)) (exp.f64 i)))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 1/4 binary64)))) n)))) n))) n)) (exp.f64 i)))
#s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (neg.f64 n) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)) i) #s(literal 1/2 binary64)) i) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) (*.f64 (neg.f64 n) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)) i) #s(literal 1/2 binary64))))
#s(approx (+ (* (* n i) 1/24) (* 1/6 n)) (*.f64 (neg.f64 n) (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64))))

eval50.0ms (0.5%)

Memory
-30.8MiB live, 62.9MiB allocated; 20ms collecting garbage
Compiler

Compiled 5 496 to 1 775 computations (67.7% saved)

prune16.0ms (0.2%)

Memory
26.8MiB live, 26.8MiB allocated; 0ms collecting garbage
Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New2565261
Fresh01414
Picked325
Done044
Total25925284
Accuracy
100.0%
Counts
284 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.0%
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 i n))
▶18.1%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))) (/.f64 i n))
62.9%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
▶8.4%
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
32.5%
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) i) n) #s(literal 100 binary64))
18.2%
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) i) n) #s(literal 100 binary64))
▶75.8%
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
✓27.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
10.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
15.9%
(*.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)))
✓79.8%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
✓32.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) (/.f64 i n)))
11.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) n)) (/.f64 i n)))
37.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
▶54.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
✓72.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
✓50.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
▶35.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
54.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
19.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) n)) (*.f64 (*.f64 i i) i))))))
18.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
✓46.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
26.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) n) #s(literal 100 binary64)) i))
66.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
16.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i) #s(literal 100 binary64)))
Compiler

Compiled 790 to 763 computations (3.4% saved)

series117.0ms (1.2%)

Memory
-31.1MiB live, 164.9MiB allocated; 26ms collecting garbage
Counts
35 → 170
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
i
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i)))
(*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))
#s(approx (- (exp i) 1) i)
(/.f64 n i)
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n)
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i)
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))
(+.f64 #s(literal 1 binary64) i)
#s(literal 1 binary64)
(*.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)))
#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))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))
(*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))
(*.f64 (/.f64 #s(literal 1 binary64) n) i)
(/.f64 #s(literal 1 binary64) n)
(/.f64 i n)
Outputs
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* 100 n)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 n))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 1))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (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 (* (- (exp i) 1) (/ n i)) #s(hole binary64 (+ n (* 1/2 (* i n)))))
#s(approx (* (- (exp i) 1) (/ n i)) #s(hole binary64 (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))))
#s(approx (* (- (exp i) 1) (/ n i)) #s(hole binary64 (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))))
#s(approx (/ n i) #s(hole binary64 (/ n i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (* 100 i)))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (log (* (/ 1 n) i)) n) #s(hole binary64 (* n (+ (log i) (log (/ 1 n))))))
#s(approx (log (* (/ 1 n) i)) #s(hole binary64 (+ (log i) (log (/ 1 n)))))
#s(approx (* (/ 1 n) i) #s(hole binary64 (/ i n)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #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 (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #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 (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #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) i) #s(hole binary64 (/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) i)))
#s(approx (/ (- (pow (+ 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 (/ (- (pow (+ 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 (- (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)))
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#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* n (+ 1 (* 1/2 i)))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* n (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i))))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* 1/2 n)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* n (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* -1 (* n (- (* -1/2 i) 1)))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1/2 i) (* 1/2 (/ i n))) 1)))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (log (* (/ 1 n) i)) n) #s(hole binary64 (* n (+ (log (* -1 i)) (log (/ -1 n))))))
#s(approx (log (* (/ 1 n) i)) #s(hole binary64 (+ (log (* -1 i)) (log (/ -1 n)))))
Calls

6 calls:

TimeVariablePointExpression
30.0ms
i
@0
((* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i n 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (exp i) 1) (/ n i)) (- (exp i) 1) (/ n i) (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 i) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1) (* (log (* (/ 1 n) i)) n) (log (* (/ 1 n) i)) (* (/ 1 n) i) (/ 1 n) (/ i n))
30.0ms
i
@-inf
((* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i n 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (exp i) 1) (/ n i)) (- (exp i) 1) (/ n i) (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 i) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1) (* (log (* (/ 1 n) i)) n) (log (* (/ 1 n) i)) (* (/ 1 n) i) (/ 1 n) (/ i n))
13.0ms
n
@0
((* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i n 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (exp i) 1) (/ n i)) (- (exp i) 1) (/ n i) (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 i) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1) (* (log (* (/ 1 n) i)) n) (log (* (/ 1 n) i)) (* (/ 1 n) i) (/ 1 n) (/ i n))
13.0ms
n
@inf
((* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i n 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (exp i) 1) (/ n i)) (- (exp i) 1) (/ n i) (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 i) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1) (* (log (* (/ 1 n) i)) n) (log (* (/ 1 n) i)) (* (/ 1 n) i) (/ 1 n) (/ i n))
11.0ms
n
@-inf
((* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i n 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (exp i) 1) (/ n i)) (- (exp i) 1) (/ n i) (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 i) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1) (* (log (* (/ 1 n) i)) n) (log (* (/ 1 n) i)) (* (/ 1 n) i) (/ 1 n) (/ i n))

rewrite346.0ms (3.6%)

Memory
45.3MiB live, 564.4MiB allocated; 106ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09398904
09708167
161388167
081867507
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
205 → 270
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
i
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i)))
(*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))
#s(approx (- (exp i) 1) i)
(/.f64 n i)
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n)
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i)
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))
(+.f64 #s(literal 1 binary64) i)
#s(literal 1 binary64)
(*.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)))
#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))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))
(*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))
(*.f64 (/.f64 #s(literal 1 binary64) n) i)
(/.f64 #s(literal 1 binary64) n)
(/.f64 i n)
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* 100 n)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 n))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 1))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
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#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (/ (* n (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* -1/2 i)))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (+ (* -1/2 i) (* n (+ 1 (* 1/2 i))))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 -1/2))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (- (* 1/2 n) 1/2)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (* 100 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (* n (+ (* 100 (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (* 100 (+ (log i) (* -1 (log n))))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #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 (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #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 (log (* (/ 1 n) i)) #s(hole binary64 (+ (log i) (* -1 (log n)))))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* n (+ 1 (* 1/2 i)))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* n (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i))))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* 1/2 n)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* n (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* -1 (* n (- (* -1/2 i) 1)))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1/2 i) (* 1/2 (/ i n))) 1)))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (log (* (/ 1 n) i)) n) #s(hole binary64 (* n (+ (log (* -1 i)) (log (/ -1 n))))))
#s(approx (log (* (/ 1 n) i)) #s(hole binary64 (+ (log (* -1 i)) (log (/ -1 n)))))
Outputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n)
(*.f64 n (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i)
(/.f64 (neg.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (neg.f64 i))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(/.f64 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) #s(literal 1 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (exp.f64 i)) #s(literal 3 binary64))) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal 1 binary64)))))
(expm1.f64 i)
(-.f64 (exp.f64 i) #s(literal 1 binary64))
i
n
#s(literal 100 binary64)
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 n i) #s(approx (- (exp i) 1) i))) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 n i) #s(approx (- (exp i) 1) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 n i) #s(approx (- (exp i) 1) i)))
(*.f64 (/.f64 n i) #s(approx (- (exp i) 1) i))
(*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))
(/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)
#s(approx (- (exp i) 1) i)
(/.f64 (neg.f64 n) (neg.f64 i))
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(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) i) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) i) n)
(*.f64 n (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) i))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i)
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(-.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (/.f64 #s(literal 1 binary64) i))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64)))
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) i)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 i i) (*.f64 #s(literal 1 binary64) i))))
(+.f64 i #s(literal 1 binary64))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (fma.f64 n (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 i i)) (fma.f64 (*.f64 (*.f64 n n) n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (*.f64 n (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/3 binary64)))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 (*.f64 i i) i)))))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 (-.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) #s(literal 1 binary64)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 (-.f64 (+.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 i i))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) #s(literal 1 binary64)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 (-.f64 (+.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 i i)) (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) i)) (*.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i)))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) #s(literal 1 binary64)) i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 i i))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 i i)) (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) i)) (*.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i)))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (- (exp i) 1) (expm1.f64 i))
#s(approx (* (- (exp i) 1) (/ n i)) (*.f64 (/.f64 n i) (expm1.f64 i)))
#s(approx (pow (+ 1 (/ i n)) n) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 i i))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 i i)) (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) i)) (*.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i)))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))))
#s(approx (+ 1 i) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)) i))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i)) i))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) #s(literal 100 binary64)))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) (+.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (*.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 i i))) (*.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) #s(literal 100 binary64))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) #s(literal 100 binary64) (fma.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) i)) (*.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n)) i))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))) (*.f64 i i))))))
#s(approx (* (log (* (/ 1 n) i)) n) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))) n))
#s(approx (log (* (/ 1 n) i)) (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (*.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) i)) #s(literal 100 binary64)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) n (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (*.f64 (*.f64 n n) n)) i))) i)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (*.f64 (*.f64 n n) n) (*.f64 n (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i))))) i))) i)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (*.f64 (*.f64 n n) n)) #s(literal 100 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n)))) n) #s(literal -100 binary64))) i))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (*.f64 (*.f64 n n) n)) i)) (neg.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) n))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (*.f64 (*.f64 n n) n) (*.f64 n (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i)))) i)) (neg.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) n))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (*.f64 (*.f64 n n) n) (neg.f64 (/.f64 (fma.f64 n (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)) (neg.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n)))) n))) i))) i)) (neg.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) n))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (*.f64 n n))) i) (neg.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i) (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (*.f64 n n))) i)) (neg.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (*.f64 n n) (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i) (neg.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n)))))) i))) i)) (neg.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)))) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) i) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i) (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (*.f64 n n))) i))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n))) #s(literal 1 binary64)))
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#s(approx (pow (+ 1 (/ i n)) n) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) i) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i) (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (*.f64 n n))) i))) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (neg.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)))) i)) (neg.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (*.f64 n n)))) i)) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (neg.f64 i) (+.f64 (neg.f64 (/.f64 n i)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) #s(literal 100 binary64)))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) (+.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (*.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) i)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) #s(literal 100 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (/.f64 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i) (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (*.f64 n n)))) i))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) #s(literal 100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) (*.f64 n n)) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)) #s(literal -100 binary64) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n)))) #s(literal 100 binary64))) i))) i))))
#s(approx (* (log (* (/ 1 n) i)) n) (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) n))
#s(approx (log (* (/ 1 n) i)) (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i) #s(literal 100 binary64)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) n (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) i))) (*.f64 n n)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))) (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))))) n (*.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 (*.f64 i i) i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) (*.f64 i i)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) n (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))))) n (*.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) #s(literal 100 binary64))) n (*.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) n (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) i) #s(literal 1/2 binary64) (fma.f64 n (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) n (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) i) #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 (*.f64 i i) i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) (*.f64 i i)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) n (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) n (/.f64 #s(literal 1 binary64) (*.f64 i i)))) n (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) n (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) i) #s(literal 1/2 binary64) (fma.f64 n (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) n (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) i) #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 (*.f64 i i) i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) (*.f64 i i)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) n (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) n (/.f64 #s(literal 1 binary64) (*.f64 i i)))) n (/.f64 (log.f64 i) i)) (/.f64 (neg.f64 (log.f64 n)) i)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n)) n))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n i))) n)) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i)))) n))) n)) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n i)))) n)) (/.f64 (expm1.f64 i) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 1/4 binary64)))) (exp.f64 i)) (*.f64 n i)))) n))) n)) (/.f64 (expm1.f64 i) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) n)))) n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 1/4 binary64)))) n)))) n))) n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) n)))) n)) (exp.f64 i)))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 1/4 binary64)))) n)))) n))) n)) (exp.f64 i)))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1 binary64)) n)))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 #s(literal 1/2 binary64) (/.f64 i n))) #s(literal 1 binary64)) n)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (expm1.f64 i) #s(literal 100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) n)) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 50 binary64) (*.f64 i i)) (exp.f64 i))) n))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (expm1.f64 i) #s(literal 100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 50 binary64) (*.f64 i i)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 1/4 binary64)))) n)) #s(literal -100 binary64))) n))) n))))
#s(approx (* (log (* (/ 1 n) i)) n) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))) n))
#s(approx (log (* (/ 1 n) i)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))))

eval34.0ms (0.4%)

Memory
6.6MiB live, 96.6MiB allocated; 6ms collecting garbage
Compiler

Compiled 5 633 to 1 476 computations (73.8% saved)

prune25.0ms (0.3%)

Memory
-11.4MiB live, 88.7MiB allocated; 10ms collecting garbage
Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New22614240
Fresh9514
Picked415
Done066
Total23926265
Accuracy
100.0%
Counts
265 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.1%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 #s(approx (* (/ 1 n) i) (/.f64 i n))) n))) (/.f64 i n))
62.9%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
37.8%
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
16.3%
(*.f64 (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i) #s(literal 100 binary64))
18.2%
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) #s(literal 100 binary64)) i) n)
75.8%
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
10.7%
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n #s(literal 1 binary64))) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
32.5%
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) i) n) #s(literal 100 binary64))
18.1%
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) i))) n) #s(literal 100 binary64))
16.3%
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i)) #s(literal 100 binary64))
✓27.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
15.9%
(*.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)))
✓79.8%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
✓32.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) (/.f64 i n)))
37.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
54.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) n) i n)))
45.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
✓72.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
✓50.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
✓35.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
18.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
39.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i)) i))))
54.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
2.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
✓46.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
72.4%
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
Compiler

Compiled 946 to 686 computations (27.5% saved)

regimes56.0ms (0.6%)

Memory
2.7MiB live, 194.2MiB allocated; 14ms collecting garbage
Counts
48 → 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #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 (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 i n))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.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)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i)) i))))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 #s(approx (* (/ 1 n) i) (/.f64 i n))) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) n)) (*.f64 (*.f64 i i) i))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 n n)) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i) #s(literal 100 binary64)))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i)) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) i))) n) #s(literal 100 binary64))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) n)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n #s(literal 1 binary64))) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) i) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) n) #s(literal 100 binary64)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

4 calls:

14.0ms
n
14.0ms
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
97.5%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
97.5%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
88.5%3i
93.2%3n
Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes27.0ms (0.3%)

Memory
-4.8MiB live, 82.8MiB allocated; 8ms collecting garbage
Counts
46 → 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #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 (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 i n))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.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)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i)) i))))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 #s(approx (* (/ 1 n) i) (/.f64 i n))) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) n)) (*.f64 (*.f64 i i) i))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 n n)) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i) #s(literal 100 binary64)))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i)) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) i))) n) #s(literal 100 binary64))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) n)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n #s(literal 1 binary64))) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) i) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) n) #s(literal 100 binary64)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

2 calls:

13.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
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)))
Results
AccuracySegmentsBranch
95.2%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
95.2%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 22 to 18 computations (18.2% saved)

regimes71.0ms (0.7%)

Memory
10.8MiB live, 157.0MiB allocated; 10ms collecting garbage
Counts
45 → 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #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 (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 i n))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.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)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i)) i))))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 #s(approx (* (/ 1 n) i) (/.f64 i n))) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) n)) (*.f64 (*.f64 i i) i))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 n n)) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i) #s(literal 100 binary64)))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i)) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) i))) n) #s(literal 100 binary64))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) n)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n #s(literal 1 binary64))) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) i) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) n) #s(literal 100 binary64)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n))) (/.f64 i n))
Outputs
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n))) (/.f64 i n))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
Calls

4 calls:

23.0ms
i
23.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
12.0ms
n
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)))
Results
AccuracySegmentsBranch
75.8%1i
84.4%3n
77.7%2(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
77.7%2(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes18.0ms (0.2%)

Memory
0.8MiB live, 46.6MiB allocated; 4ms collecting garbage
Counts
44 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #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 (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 i n))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.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)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i)) i))))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 #s(approx (* (/ 1 n) i) (/.f64 i n))) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) n)) (*.f64 (*.f64 i i) i))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 n n)) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i) #s(literal 100 binary64)))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i)) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) i))) n) #s(literal 100 binary64))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) n)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n #s(literal 1 binary64))) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) i) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) n) #s(literal 100 binary64)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) (/.f64 i n)))
Outputs
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) (/.f64 i n)))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
Calls

1 calls:

16.0ms
n
Results
AccuracySegmentsBranch
84.4%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes76.0ms (0.8%)

Memory
2.9MiB live, 54.9MiB allocated; 103ms collecting garbage
Counts
43 → 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #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 (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 i n))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.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)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i)) i))))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 #s(approx (* (/ 1 n) i) (/.f64 i n))) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) n)) (*.f64 (*.f64 i i) i))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 n n)) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i) #s(literal 100 binary64)))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i)) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) i))) n) #s(literal 100 binary64))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) n)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n #s(literal 1 binary64))) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) i) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) n) #s(literal 100 binary64)) i))
Outputs
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
Calls

1 calls:

73.0ms
n
Results
AccuracySegmentsBranch
84.3%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes27.0ms (0.3%)

Memory
-36.3MiB live, 55.2MiB allocated; 21ms collecting garbage
Counts
41 → 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #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 (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 i n))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.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)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i)) i))))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 #s(approx (* (/ 1 n) i) (/.f64 i n))) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) n)) (*.f64 (*.f64 i i) i))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 n n)) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i) #s(literal 100 binary64)))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i)) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) i))) n) #s(literal 100 binary64))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) n)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n #s(literal 1 binary64))) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
Outputs
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 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 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) n)) (/.f64 i n)))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
Calls

1 calls:

11.0ms
n
Results
AccuracySegmentsBranch
84.7%4n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.2%)

Memory
15.2MiB live, 60.9MiB allocated; 4ms collecting garbage
Counts
38 → 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #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 (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 i n))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.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)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i)) i))))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 #s(approx (* (/ 1 n) i) (/.f64 i n))) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) n)) (*.f64 (*.f64 i i) i))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 n n)) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i) #s(literal 100 binary64)))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i)) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) i))) n) #s(literal 100 binary64))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
Outputs
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) i))) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
Calls

1 calls:

12.0ms
n
Results
AccuracySegmentsBranch
85.4%5n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0.1%)

Memory
-18.2MiB live, 43.1MiB allocated; 6ms collecting garbage
Counts
32 → 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #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 (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 i n))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.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)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i)) i))))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 #s(approx (* (/ 1 n) i) (/.f64 i n))) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) n)) (*.f64 (*.f64 i i) i))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 i (/.f64 #s(literal 1 binary64) n))) (*.f64 n n)) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i) #s(literal 100 binary64)))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i)) (*.f64 n n)) i)) #s(literal 100 binary64))
Outputs
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 #s(approx (* (/ 1 n) i) (/.f64 i n))) n))) (/.f64 i n))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
Calls

1 calls:

11.0ms
n
Results
AccuracySegmentsBranch
85.4%5n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
33.3MiB live, 33.3MiB allocated; 0ms collecting garbage
Counts
26 → 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #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 (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 i n))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.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)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i)) i))))
Outputs
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 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) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
Calls

1 calls:

7.0ms
n
Results
AccuracySegmentsBranch
81.6%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes46.0ms (0.5%)

Memory
-20.0MiB live, 26.1MiB allocated; 4ms collecting garbage
Counts
20 → 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #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 (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 i n))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
Outputs
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 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 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
Calls

1 calls:

44.0ms
n
Results
AccuracySegmentsBranch
81.6%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Counts
19 → 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #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 (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 i n))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
82.0%4n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory
-23.6MiB live, 20.7MiB allocated; 7ms collecting garbage
Counts
18 → 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #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 (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 i n))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
Outputs
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
Calls

1 calls:

9.0ms
n
Results
AccuracySegmentsBranch
81.9%4n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes22.0ms (0.2%)

Memory
25.1MiB live, 69.0MiB allocated; 8ms collecting garbage
Counts
17 → 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #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 (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 i n))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (+ (* (+ (* (* n i) 1/24) (* 1/6 n)) i) (* 1/2 n)) i) n) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/24 binary64))))))
Calls

4 calls:

7.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
5.0ms
n
5.0ms
i
4.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
62.3%3i
54.4%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
54.4%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
62.0%3n
Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes15.0ms (0.2%)

Memory
-15.9MiB live, 38.5MiB allocated; 10ms collecting garbage
Counts
14 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #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 (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i) #s(literal 100 binary64))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
Calls

2 calls:

10.0ms
i
4.0ms
n
Results
AccuracySegmentsBranch
62.0%3n
59.5%2i
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes8.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Counts
11 → 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #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 (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) n) i n)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 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 (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
Calls

2 calls:

3.0ms
n
3.0ms
i
Results
AccuracySegmentsBranch
57.3%2i
59.5%3n
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0%)

Memory
7.4MiB live, 7.4MiB 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
Calls

1 calls:

3.0ms
n
Results
AccuracySegmentsBranch
59.5%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes41.0ms (0.4%)

Memory
-30.1MiB live, 16.8MiB allocated; 2ms collecting garbage
Counts
8 → 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #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 #s(approx (- (exp i) 1) i) n) i)))
Calls

2 calls:

37.0ms
n
3.0ms
i
Results
AccuracySegmentsBranch
57.8%3i
58.8%3n
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
Calls

2 calls:

2.0ms
i
2.0ms
n
Results
AccuracySegmentsBranch
57.0%3i
57.7%3n
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Counts
4 → 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
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
50.3%3i
46.2%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
46.2%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)))
49.9%3n
Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes41.0ms (0.4%)

Memory
-32.3MiB live, 14.8MiB allocated; 2ms collecting garbage
Accuracy

Total -27.9b remaining (-80.9%)

Threshold costs -27.9b (-80.9%)

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

4 calls:

37.0ms
n
1.0ms
i
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
46.2%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
46.2%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)))
46.2%1n
46.2%1i
Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-0.0
1.1459123988476663e-253
0.0ms
-inf
-1.2656555573679625e-18
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-inf
-1.2656555573679625e-18
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch191.0ms (2%)

Memory
26.8MiB live, 245.9MiB allocated; 40ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
80.0ms
5.192311205721802e-44
3.8095880428591326e-43
105.0ms
-6.199371949925617e-74
-9.645318201592776e-98
Samples
84.0ms155×1valid
80.0ms90×2valid
5.0ms111×0invalid
1.0ms27×0valid
Compiler

Compiled 443 to 457 computations (-3.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-pow: 82.0ms (53% of total)
adjust: 52.0ms (33.6% of total)
ival-mult!: 9.0ms (5.8% of total)
ival-div!: 8.0ms (5.2% of total)
ival-add!: 2.0ms (1.3% of total)
ival-sub!: 2.0ms (1.3% of total)

bsearch2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.192311205721802e-44
3.8095880428591326e-43
1.0ms
-6.199371949925617e-74
-9.645318201592776e-98
Compiler

Compiled 443 to 457 computations (-3.2% saved)

bsearch87.0ms (0.9%)

Memory
6.6MiB live, 72.4MiB allocated; 33ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.192311205721802e-44
3.8095880428591326e-43
83.0ms
-2.7118243416001763e-120
-3.1119168180677103e-134
Samples
41.0ms84×1valid
29.0ms62×2valid
4.0ms77×0invalid
1.0ms14×0valid
Compiler

Compiled 418 to 447 computations (-6.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
adjust: 32.0ms (47.3% of total)
ival-pow: 27.0ms (39.9% of total)
ival-div!: 5.0ms (7.4% of total)
ival-mult!: 2.0ms (3% of total)
ival-add!: 1.0ms (1.5% of total)
ival-sub!: 1.0ms (1.5% of total)

bsearch97.0ms (1%)

Memory
-21.4MiB live, 114.3MiB allocated; 19ms collecting garbage
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.192311205721802e-44
3.8095880428591326e-43
32.0ms
1.7287748712432587e-263
4.0799052767802254e-262
59.0ms
-2.7118243416001763e-120
-3.1119168180677103e-134
Samples
49.0ms73×2valid
14.0ms98×1valid
10.0ms143×0invalid
3.0ms52×0valid
1.0ms1×3valid
Compiler

Compiled 685 to 711 computations (-3.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-pow: 44.0ms (71% of total)
ival-div!: 7.0ms (11.3% of total)
adjust: 6.0ms (9.7% of total)
ival-mult!: 3.0ms (4.8% of total)
ival-add!: 2.0ms (3.2% of total)
ival-sub!: 2.0ms (3.2% of total)

bsearch181.0ms (1.9%)

Memory
-1.9MiB live, 183.6MiB allocated; 25ms collecting garbage
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.192311205721802e-44
3.8095880428591326e-43
70.0ms
4.7909440113239565e-88
1.4813421379527884e-79
100.0ms
5.135755941608995e-169
1.652906295725435e-158
1.0ms
-2.7118243416001763e-120
-3.1119168180677103e-134
Samples
54.0ms156×0invalid
47.0ms95×2valid
28.0ms165×1valid
8.0ms9×3valid
2.0ms35×0valid
Compiler

Compiled 1 099 to 1 127 computations (-2.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-div!: 55.0ms (43.8% of total)
ival-pow: 50.0ms (39.8% of total)
adjust: 9.0ms (7.2% of total)
ival-sub!: 6.0ms (4.8% of total)
ival-mult!: 4.0ms (3.2% of total)
ival-add!: 2.0ms (1.6% of total)

bsearch4.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.192311205721802e-44
3.8095880428591326e-43
1.0ms
4.7909440113239565e-88
1.4813421379527884e-79
1.0ms
5.135755941608995e-169
1.652906295725435e-158
1.0ms
-2.7118243416001763e-120
-3.1119168180677103e-134
Compiler

Compiled 1 099 to 1 112 computations (-1.2% saved)

bsearch41.0ms (0.4%)

Memory
-14.8MiB live, 41.6MiB allocated; 8ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
37.0ms
5.135755941608995e-169
1.652906295725435e-158
1.0ms
-2.7118243416001763e-120
-3.1119168180677103e-134
Samples
23.0ms31×2valid
6.0ms42×1valid
2.0ms47×0invalid
1.0ms23×0valid
Compiler

Compiled 558 to 575 computations (-3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-pow: 21.0ms (74.9% of total)
ival-div!: 3.0ms (10.7% of total)
adjust: 2.0ms (7.1% of total)
ival-add!: 1.0ms (3.6% of total)
ival-sub!: 1.0ms (3.6% of total)
ival-mult!: 1.0ms (3.6% of total)

bsearch2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.135755941608995e-169
1.652906295725435e-158
1.0ms
-2.7118243416001763e-120
-3.1119168180677103e-134
Compiler

Compiled 558 to 575 computations (-3% saved)

bsearch111.0ms (1.2%)

Memory
18.6MiB live, 110.5MiB allocated; 6ms collecting garbage
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
64.0ms
4.5816743833019345e-17
226851.37417137716
1.0ms
5.135755941608995e-169
1.652906295725435e-158
40.0ms
-2.7118243416001763e-120
-3.1119168180677103e-134
Samples
51.0ms75×2valid
25.0ms109×1valid
5.0ms119×0invalid
5.0ms84×0valid
4.0ms4×3valid
Compiler

Compiled 865 to 883 computations (-2.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-pow: 42.0ms (52.9% of total)
ival-mult!: 21.0ms (26.5% of total)
ival-div!: 7.0ms (8.8% of total)
adjust: 6.0ms (7.6% of total)
ival-add!: 2.0ms (2.5% of total)
ival-sub!: 2.0ms (2.5% of total)

bsearch3.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.5816743833019345e-17
226851.37417137716
1.0ms
5.135755941608995e-169
1.652906295725435e-158
1.0ms
-2.7118243416001763e-120
-3.1119168180677103e-134
Compiler

Compiled 907 to 946 computations (-4.3% saved)

bsearch75.0ms (0.8%)

Memory
-5.3MiB live, 138.2MiB allocated; 13ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
42.0ms
4.760874050931057
273460.2854473678
29.0ms
-3.2901248988335485
-0.04821359856361319
Samples
55.0ms233×1valid
4.0ms46×0invalid
1.0ms7×0valid
Compiler

Compiled 696 to 693 computations (0.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-pow: 30.0ms (62.7% of total)
ival-div!: 6.0ms (12.5% of total)
adjust: 5.0ms (10.4% of total)
ival-mult!: 4.0ms (8.4% of total)
ival-add!: 1.0ms (2.1% of total)
ival-sub!: 1.0ms (2.1% of total)

bsearch25.0ms (0.3%)

Memory
-7.2MiB live, 37.6MiB allocated; 8ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.135755941608995e-169
1.652906295725435e-158
22.0ms
-2.7118243416001763e-120
-3.1119168180677103e-134
Samples
8.0ms17×2valid
4.0ms24×1valid
1.0ms21×0invalid
0.0ms7×0valid
Compiler

Compiled 698 to 695 computations (0.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-pow: 8.0ms (69.9% of total)
adjust: 1.0ms (8.7% of total)
ival-div!: 1.0ms (8.7% of total)
ival-mult!: 1.0ms (8.7% of total)
ival-add!: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch141.0ms (1.5%)

Memory
-1.8MiB live, 177.0MiB allocated; 60ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
83.0ms
4.9287845633103475e-21
1.675393059289522e-17
46.0ms
-2.2847804894124574e+28
-3.1241099350960426e+20
Samples
60.0ms80×2valid
50.0ms127×1valid
4.0ms65×0valid
2.0ms45×0invalid
Compiler

Compiled 562 to 576 computations (-2.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-pow: 44.0ms (48.3% of total)
ival-div!: 34.0ms (37.3% of total)
adjust: 7.0ms (7.7% of total)
ival-mult!: 3.0ms (3.3% of total)
ival-add!: 2.0ms (2.2% of total)
ival-sub!: 2.0ms (2.2% of total)

bsearch2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.9287845633103475e-21
1.675393059289522e-17
1.0ms
-2.2847804894124574e+28
-3.1241099350960426e+20
Compiler

Compiled 613 to 627 computations (-2.3% saved)

bsearch31.0ms (0.3%)

Memory
2.5MiB live, 49.0MiB allocated; 3ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×predicate-same
Steps
TimeLeftRight
11.0ms
4.5816743833019345e-17
226851.37417137716
19.0ms
-7.067256085864529
-2.0280745667352884e-9
Samples
11.0ms28×2valid
9.0ms43×1valid
3.0ms41×0valid
1.0ms29×0invalid
Compiler

Compiled 279 to 285 computations (-2.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-pow: 13.0ms (64.8% of total)
adjust: 2.0ms (10% of total)
ival-div!: 2.0ms (10% of total)
ival-add!: 1.0ms (5% of total)
ival-sub!: 1.0ms (5% of total)
ival-mult!: 1.0ms (5% of total)

bsearch43.0ms (0.4%)

Memory
-7.8MiB live, 46.7MiB allocated; 19ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×predicate-same
Steps
TimeLeftRight
23.0ms
26239613.801039178
34297837644.50741
18.0ms
-232969934769608.25
-4114667051.326624
Samples
24.0ms23×2valid
7.0ms33×1valid
3.0ms40×0valid
2.0ms41×0invalid
Compiler

Compiled 222 to 219 computations (1.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
adjust: 16.0ms (50.1% of total)
ival-pow: 12.0ms (37.6% of total)
ival-div!: 2.0ms (6.3% of total)
ival-add!: 1.0ms (3.1% of total)
ival-sub!: 1.0ms (3.1% of total)
ival-mult!: 1.0ms (3.1% of total)

bsearch70.0ms (0.7%)

Memory
6.8MiB live, 97.2MiB allocated; 14ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
49.0ms
8.2059381915837e-14
2.9011499469228774e-9
17.0ms
-6.015317225009916e-30
-3.783658800622655e-30
Samples
45.0ms189×1valid
7.0ms45×0invalid
1.0ms3×2valid
0.0ms1×1exit
Compiler

Compiled 450 to 447 computations (0.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-pow: 28.0ms (67.8% of total)
adjust: 5.0ms (12.1% of total)
ival-div!: 5.0ms (12.1% of total)
ival-mult!: 2.0ms (4.8% of total)
ival-add!: 1.0ms (2.4% of total)
ival-sub!: 1.0ms (2.4% of total)

derivations633.0ms (6.6%)

Memory
1.5MiB live, 474.8MiB allocated; 92ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 358 to 232 computations (35.2% saved)

preprocess245.0ms (2.6%)

Memory
41.7MiB live, 503.8MiB allocated; 82ms collecting garbage
Compiler

Compiled 399 to 260 computations (34.8% saved)

end0.0ms (0%)

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

Profiling

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