Compound Interest

Time bar (total: 9.3s)

start0.0ms (0%)

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

analyze162.0ms (1.7%)

Memory
16.8MiB live, 158.9MiB allocated; 43ms 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)

sample5.4s (58.6%)

Memory
22.1MiB live, 5 084.7MiB allocated; 2.1s collecting garbage
Samples
2.2s4 394×1valid
1.9s1 786×2valid
177.0ms2 026×0valid
170.0ms1 988×0invalid
80.0ms50×3valid
2.0ms20×1exit
Precisions
Click to see histograms. Total time spent on operations: 3.8s
ival-pow: 2.6s (68.4% of total)
adjust: 438.0ms (11.4% of total)
ival-div!: 317.0ms (8.3% of total)
ival-mult!: 183.0ms (4.8% of total)
ival-add!: 148.0ms (3.9% of total)
ival-sub!: 122.0ms (3.2% of total)
Bogosity

preprocess61.0ms (0.7%)

Memory
-17.4MiB live, 42.7MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032100
114592
271392
3528592
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶31.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 24 to 20 computations (16.7% saved)

series24.0ms (0.3%)

Memory
43.6MiB live, 43.6MiB allocated; 0ms 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
5.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
4.0ms
i
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
4.0ms
n
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
3.0ms
n
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
2.0ms
i
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)

rewrite298.0ms (3.2%)

Memory
-26.7MiB live, 292.8MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06245385
06354939
155914859
080574435
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
103 → 137
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)))))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -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)))))))
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#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)))))
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Outputs
(*.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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i
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) i)
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#s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64)))
#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 (/ i n)) (+.f64 (/.f64 i n) #s(literal 1 binary64)))
#s(approx (/ i n) (/.f64 i n))
#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 (*.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 (/ (- (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 (*.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 (*.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)))) (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 (*.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)))) (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) (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 (*.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)) (*.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) (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 (*.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)) (*.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 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 (+.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 (*.f64 #s(literal -100 binary64) 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 (*.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 (*.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 (+.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 (+.f64 (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)) (neg.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 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 (+.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)) (neg.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 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 (+.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 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 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 n n)) #s(literal 1/2 binary64)))) i)) (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)) (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 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) n))) 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 (+.f64 (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))) (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 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 (+.f64 (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 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 n n)) #s(literal 1/2 binary64)))) i)))) i)) (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 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) (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 (+.f64 (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))) (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 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 (+.f64 (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 (*.f64 (*.f64 (*.f64 n n) n) (*.f64 n n)) #s(literal 1/2 binary64)))) i)))) i)) (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 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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))) n (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))))) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 (/.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 i i) i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i 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))))) (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))))) n (*.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i 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 n)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i 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 n)) (log.f64 (/.f64 i 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 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 n)) (log.f64 (/.f64 i n))) i) #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 i i) i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i 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 n)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (log.f64 (/.f64 i n)) (*.f64 (fma.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i 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 n)) (*.f64 (fma.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 i 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))) n (/.f64 #s(literal 1 binary64) i))) n)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (log.f64 (/.f64 i n)) (*.f64 (fma.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 n (fma.f64 (/.f64 (log.f64 (/.f64 i n)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i 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))))) (/.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 n)) n #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (+.f64 (log.f64 (/.f64 i n)) (*.f64 (fma.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i 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 n)) (*.f64 (fma.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 i 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))) n (/.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 (-.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (+.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)))

eval15.0ms (0.2%)

Memory
25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 319 to 868 computations (73.8% saved)

prune33.0ms (0.4%)

Memory
-35.5MiB live, 24.6MiB allocated; 7ms collecting garbage
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New11021131
Fresh000
Picked011
Done000
Total11022132
Accuracy
99.8%
Counts
132 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.1%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n))) (/.f64 i n))
34.4%
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) i) n) #s(literal 100 binary64))
✓31.4%
(*.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)))
31.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n i))) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 n i))))
17.5%
(*.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)))
19.9%
(*.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)))
▶34.1%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)) (/.f64 i n)))
35.8%
(*.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)))
18.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
60.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
39.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
34.1%
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)))))
▶46.8%
(*.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)))
▶68.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
65.4%
(*.f64 #s(literal 100 binary64) #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)))
▶43.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
45.3%
#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))))
65.4%
#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 n n) (/.f64 (log.f64 (/.f64 i n)) i)) #s(literal 100 binary64)))
▶19.9%
#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)))
18.1%
#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 n)) (log.f64 (/.f64 i n))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 n n)))
15.5%
#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)))
Compiler

Compiled 776 to 708 computations (8.8% saved)

series334.0ms (3.6%)

Memory
38.2MiB live, 502.3MiB allocated; 93ms collecting garbage
Counts
39 → 198
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) #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 #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))
(/.f64 i n)
#s(literal 1 binary64)
#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)))
(*.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))
(*.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))
(/.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) i)
(expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n))
(*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)
(+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n))))
(neg.f64 (neg.f64 (log.f64 (neg.f64 i))))
(neg.f64 (log.f64 (neg.f64 i)))
(log.f64 (neg.f64 i))
(neg.f64 i)
(neg.f64 (log.f64 (neg.f64 n)))
(log.f64 (neg.f64 n))
(neg.f64 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 (/ (* (- (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 (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (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 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 (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (- (log (neg i)) (log (neg n))))) 1)) i))))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) #s(hole binary64 (/ (* n (- (exp (* n (- (log (neg i)) (log (neg n))))) 1)) i)))
#s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) #s(hole binary64 (/ (- (exp (* n (- (log (neg i)) (log (neg n))))) 1) i)))
#s(approx (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) #s(hole binary64 (- (exp (* n (- (log (neg i)) (log (neg n))))) 1)))
#s(approx (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n) #s(hole binary64 (* n (- (log (neg i)) (log (neg n))))))
#s(approx (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) #s(hole binary64 (- (log (neg i)) (log (neg n)))))
#s(approx (neg (neg (log (neg i)))) #s(hole binary64 (log (neg i))))
#s(approx (neg (log (neg i))) #s(hole binary64 (* -1 (log (neg i)))))
#s(approx (neg i) #s(hole binary64 (* -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)) 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i)))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) 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 (+ (* (* (- 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 (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (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 (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n) #s(hole binary64 (* n (- (log (neg i)) (* -1 (log (neg (/ 1 n))))))))
#s(approx (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) #s(hole binary64 (- (log (neg i)) (* -1 (log (neg (/ 1 n)))))))
#s(approx (neg (log (neg n))) #s(hole binary64 (log (neg (/ 1 n)))))
#s(approx (log (neg n)) #s(hole binary64 (* -1 (log (neg (/ 1 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 (+ (* (* (- 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 (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (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))))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (- (log (neg i)) (log (* -1 n))))) 1)) i))))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) #s(hole binary64 (/ (* n (- (exp (* n (- (log (neg i)) (log (* -1 n))))) 1)) i)))
#s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) #s(hole binary64 (/ (- (exp (* n (- (log (neg i)) (log (* -1 n))))) 1) i)))
#s(approx (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) #s(hole binary64 (- (exp (* n (- (log (neg i)) (log (* -1 n))))) 1)))
#s(approx (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n) #s(hole binary64 (* n (- (log (neg i)) (* -1 (log (/ -1 n)))))))
#s(approx (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) #s(hole binary64 (- (log (neg i)) (* -1 (log (/ -1 n))))))
#s(approx (neg (log (neg n))) #s(hole binary64 (log (/ -1 n))))
#s(approx (log (neg n)) #s(hole binary64 (* -1 (log (/ -1 n)))))
Calls

6 calls:

TimeVariablePointExpression
110.0ms
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)) (+ (* (* (- 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 (/ (- (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) (/ i n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n) (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) (neg (neg (log (neg i)))) (neg (log (neg i))) (log (neg i)) (neg i) (neg (log (neg n))) (log (neg n)) (neg n))
58.0ms
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)) (+ (* (* (- 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 (/ (- (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) (/ i n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n) (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) (neg (neg (log (neg i)))) (neg (log (neg i))) (log (neg i)) (neg i) (neg (log (neg n))) (log (neg n)) (neg n))
54.0ms
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)) (+ (* (* (- 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 (/ (- (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) (/ i n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n) (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) (neg (neg (log (neg i)))) (neg (log (neg i))) (log (neg i)) (neg i) (neg (log (neg n))) (log (neg n)) (neg n))
43.0ms
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)) (+ (* (* (- 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 (/ (- (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) (/ i n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n) (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) (neg (neg (log (neg i)))) (neg (log (neg i))) (log (neg i)) (neg i) (neg (log (neg n))) (log (neg n)) (neg n))
37.0ms
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)) (+ (* (* (- 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 (/ (- (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) (/ i n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n) (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) (neg (neg (log (neg i)))) (neg (log (neg i))) (log (neg i)) (neg i) (neg (log (neg n))) (log (neg n)) (neg n))

rewrite200.0ms (2.2%)

Memory
32.8MiB live, 354.1MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011308133
011867619
081237203
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
237 → 303
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) #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 #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))
(/.f64 i n)
#s(literal 1 binary64)
#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)))
(*.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))
(*.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))
(/.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) i)
(expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n))
(*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)
(+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n))))
(neg.f64 (neg.f64 (log.f64 (neg.f64 i))))
(neg.f64 (log.f64 (neg.f64 i)))
(log.f64 (neg.f64 i))
(neg.f64 i)
(neg.f64 (log.f64 (neg.f64 n)))
(log.f64 (neg.f64 n))
(neg.f64 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))))))))
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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)) (+ (* 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 (+ (* (* (- 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 (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (* (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)))))
#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 (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) #s(hole binary64 (* 100 (/ (* (pow n 2) (- (log (neg i)) (log (neg n)))) i))))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) #s(hole binary64 (* (pow n 2) (+ (* 50 (/ (* n (pow (- (log (neg i)) (log (neg n))) 2)) i)) (* 100 (/ (- (log (neg i)) (log (neg n))) i))))))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (- (log (neg i)) (log (neg n))) i)) (* n (+ (* 50/3 (/ (* n (pow (- (log (neg i)) (log (neg n))) 3)) i)) (* 50 (/ (pow (- (log (neg i)) (log (neg n))) 2) i))))))))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (- (log (neg i)) (log (neg n))) i)) (* n (+ (* 50 (/ (pow (- (log (neg i)) (log (neg n))) 2) i)) (* n (+ (* 25/6 (/ (* n (pow (- (log (neg i)) (log (neg n))) 4)) i)) (* 50/3 (/ (pow (- (log (neg i)) (log (neg n))) 3) i))))))))))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) #s(hole binary64 (/ (* (pow n 2) (- (log (neg i)) (log (neg n)))) i)))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) #s(hole binary64 (* (pow n 2) (- (+ (* 1/2 (/ (* n (pow (- (log (neg i)) (log (neg n))) 2)) i)) (/ (log (neg i)) i)) (/ (log (neg n)) i)))))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) #s(hole binary64 (* (pow n 2) (- (+ (* n (+ (* 1/6 (/ (* n (pow (- (log (neg i)) (log (neg n))) 3)) i)) (* 1/2 (/ (pow (- (log (neg i)) (log (neg n))) 2) i)))) (/ (log (neg i)) i)) (/ (log (neg n)) i)))))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) #s(hole binary64 (* (pow n 2) (- (+ (* n (+ (* 1/2 (/ (pow (- (log (neg i)) (log (neg n))) 2) i)) (* n (+ (* 1/24 (/ (* n (pow (- (log (neg i)) (log (neg n))) 4)) i)) (* 1/6 (/ (pow (- (log (neg i)) (log (neg n))) 3) i)))))) (/ (log (neg i)) i)) (/ (log (neg n)) i)))))
#s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) #s(hole binary64 (/ (* n (- (log (neg i)) (log (neg n)))) i)))
#s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) #s(hole binary64 (* n (- (+ (* 1/2 (/ (* n (pow (- (log (neg i)) (log (neg n))) 2)) i)) (/ (log (neg i)) i)) (/ (log (neg n)) i)))))
#s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) #s(hole binary64 (* n (- (+ (* n (+ (* 1/6 (/ (* n (pow (- (log (neg i)) (log (neg n))) 3)) i)) (* 1/2 (/ (pow (- (log (neg i)) (log (neg n))) 2) i)))) (/ (log (neg i)) i)) (/ (log (neg n)) i)))))
#s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) #s(hole binary64 (* n (- (+ (* n (+ (* 1/2 (/ (pow (- (log (neg i)) (log (neg n))) 2) i)) (* n (+ (* 1/24 (/ (* n (pow (- (log (neg i)) (log (neg n))) 4)) i)) (* 1/6 (/ (pow (- (log (neg i)) (log (neg n))) 3) i)))))) (/ (log (neg i)) i)) (/ (log (neg n)) i)))))
#s(approx (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) #s(hole binary64 (* n (- (+ (log (neg i)) (* 1/2 (* n (pow (- (log (neg i)) (log (neg n))) 2)))) (log (neg n))))))
#s(approx (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) #s(hole binary64 (* n (- (+ (log (neg i)) (* n (+ (* 1/6 (* n (pow (- (log (neg i)) (log (neg n))) 3))) (* 1/2 (pow (- (log (neg i)) (log (neg n))) 2))))) (log (neg n))))))
#s(approx (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) #s(hole binary64 (* n (- (+ (log (neg i)) (* n (+ (* 1/2 (pow (- (log (neg i)) (log (neg n))) 2)) (* n (+ (* 1/24 (* n (pow (- (log (neg i)) (log (neg n))) 4))) (* 1/6 (pow (- (log (neg i)) (log (neg n))) 3))))))) (log (neg n))))))
#s(approx (neg (log (neg n))) #s(hole binary64 (* -1 (log (neg n)))))
#s(approx (log (neg n)) #s(hole binary64 (log (neg n))))
#s(approx (neg n) #s(hole binary64 (* -1 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 (+ (* (* (- 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 (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (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 (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n) #s(hole binary64 (* n (- (log (neg i)) (* -1 (log (neg (/ 1 n))))))))
#s(approx (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) #s(hole binary64 (- (log (neg i)) (* -1 (log (neg (/ 1 n)))))))
#s(approx (neg (log (neg n))) #s(hole binary64 (log (neg (/ 1 n)))))
#s(approx (log (neg n)) #s(hole binary64 (* -1 (log (neg (/ 1 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 (+ (* (* (- 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 (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (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))))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (- (log (neg i)) (log (* -1 n))))) 1)) i))))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) #s(hole binary64 (/ (* n (- (exp (* n (- (log (neg i)) (log (* -1 n))))) 1)) i)))
#s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) #s(hole binary64 (/ (- (exp (* n (- (log (neg i)) (log (* -1 n))))) 1) i)))
#s(approx (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) #s(hole binary64 (- (exp (* n (- (log (neg i)) (log (* -1 n))))) 1)))
#s(approx (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n) #s(hole binary64 (* n (- (log (neg i)) (* -1 (log (/ -1 n)))))))
#s(approx (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) #s(hole binary64 (- (log (neg i)) (* -1 (log (/ -1 n))))))
#s(approx (neg (log (neg n))) #s(hole binary64 (log (/ -1 n))))
#s(approx (log (neg n)) #s(hole binary64 (* -1 (log (/ -1 n)))))
Outputs
(*.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) (/.f64 #s(literal 1 binary64) i))
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) n)) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 i) n) i)
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) n)))
(*.f64 (expm1.f64 i) n)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 i))) (exp.f64 i))
(/.f64 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) #s(literal 1 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 i) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)))
(expm1.f64 i)
(-.f64 (exp.f64 i) #s(literal 1 binary64))
(+.f64 (exp.f64 i) #s(literal -1 binary64))
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) #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))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n (*.f64 (*.f64 (-.f64 #s(literal 1/2 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) i))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 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) i)) (*.f64 n n)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) n))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) #s(literal 3 binary64)) (*.f64 (*.f64 n n) n)) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 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) i) (-.f64 (*.f64 n n) (*.f64 (*.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 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) (neg.f64 n))
(+.f64 (*.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 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))
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(-.f64 (/.f64 i n) #s(literal -1 binary64))
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(/.f64 (expm1.f64 (*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (log.f64 (neg.f64 n))) n)) i)
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(-.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (log.f64 (neg.f64 n))) n)) #s(literal 1 binary64))
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(-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (log.f64 (neg.f64 n)))
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#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 n)) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 i)))))) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 n)) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 i))))))) i)) #s(literal 1 binary64)))
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#s(approx (log (+ (/ i n) 1)) (-.f64 (neg.f64 (log.f64 n)) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 i)))))
#s(approx (log (+ (/ i n) 1)) (+.f64 (neg.f64 (log.f64 n)) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (/.f64 n i))))
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#s(approx (neg (log (neg i))) (neg.f64 (log.f64 (neg.f64 i))))
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#s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) (*.f64 n (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n)))) i) (/.f64 (log.f64 (neg.f64 i)) i)) (/.f64 (log.f64 (neg.f64 n)) i))))
#s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) (*.f64 n (-.f64 (fma.f64 n (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 n (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64))) i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i))) (/.f64 (log.f64 (neg.f64 i)) i)) (/.f64 (log.f64 (neg.f64 n)) i))))
#s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) (*.f64 n (-.f64 (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i) (*.f64 n (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 n (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64))) i) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i))))) (/.f64 (log.f64 (neg.f64 i)) i)) (/.f64 (log.f64 (neg.f64 n)) i))))
#s(approx (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) (*.f64 n (-.f64 (-.f64 (log.f64 (neg.f64 i)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n)))))) (log.f64 (neg.f64 n)))))
#s(approx (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) (*.f64 n (-.f64 (+.f64 (log.f64 (neg.f64 i)) (*.f64 n (fma.f64 #s(literal 1/6 binary64) (*.f64 n (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))))))) (log.f64 (neg.f64 n)))))
#s(approx (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) (*.f64 n (-.f64 (+.f64 (log.f64 (neg.f64 i)) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) (*.f64 n (fma.f64 #s(literal 1/24 binary64) (*.f64 n (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)))))))) (log.f64 (neg.f64 n)))))
#s(approx (neg (log (neg n))) (*.f64 #s(literal -1 binary64) (log.f64 (neg.f64 n))))
#s(approx (log (neg n)) (log.f64 (neg.f64 n)))
#s(approx (neg n) (*.f64 #s(literal -1 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)))))) (*.f64 i (*.f64 (*.f64 n n) n))) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i))) (*.f64 n n)) (/.f64 (expm1.f64 i) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (/.f64 (exp.f64 i) i)) (/.f64 #s(literal 1 binary64) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 i (*.f64 n n))))) (/.f64 #s(literal 1 binary64) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i))))) (*.f64 (*.f64 n n) n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 i (*.f64 n n)))))) (/.f64 #s(literal 1 binary64) i))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 n (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 n (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (*.f64 #s(literal 1/2 binary64) n))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64))
#s(approx (- 1/2 (/ 1/2 n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) (-.f64 (-.f64 (exp.f64 i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) (-.f64 (+.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 n n)))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) (-.f64 (+.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (+.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)))))) (*.f64 (*.f64 n n) n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 n n))))) #s(literal 1 binary64)))
#s(approx (* (log (+ (/ i n) 1)) n) (-.f64 i (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i i) n))))
#s(approx (* (log (+ (/ i n) 1)) n) (+.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 i i) i) (*.f64 n n))))))
#s(approx (* (log (+ (/ i n) 1)) n) (+.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 n n) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 i i) i) (*.f64 n n)))))))
#s(approx (log (+ (/ i n) 1)) (/.f64 (-.f64 i (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i i) n))) n))
#s(approx (log (+ (/ i n) 1)) (/.f64 (+.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 i i) i) (*.f64 n n))))) n))
#s(approx (log (+ (/ i n) 1)) (/.f64 (+.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 n n) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 i i) i) (*.f64 n n)))))) n))
#s(approx (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n) (*.f64 n (-.f64 (log.f64 (neg.f64 i)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (neg.f64 n)))))))
#s(approx (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) (-.f64 (log.f64 (neg.f64 i)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (neg.f64 n))))))
#s(approx (neg (log (neg n))) (neg.f64 (log.f64 (neg.f64 n))))
#s(approx (log (neg n)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (neg.f64 n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 i n)))) n))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) i) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) (*.f64 i n)))) n))) n))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(literal -1 binary64) (*.f64 n (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 i n))) n) (/.f64 (expm1.f64 i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(literal -1 binary64) (*.f64 n (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) (*.f64 i n))) n) (*.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)))) n) (/.f64 (expm1.f64 i) i))))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1 binary64)))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 #s(literal 1/2 binary64) (/.f64 i n))) #s(literal 1 binary64)))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))))
#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) (-.f64 (-.f64 (exp.f64 i) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ (/ i n) 1)) n)) 1) (-.f64 (-.f64 (exp.f64 i) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) n) (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i))))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (* (log (+ (/ i n) 1)) n) (-.f64 i (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 i i) i) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i i))) n))))
#s(approx (* (log (+ (/ i n) 1)) n) (-.f64 i (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) n) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i i))) n))))
#s(approx (log (+ (/ i n) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) i (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i i) n))) n)))
#s(approx (log (+ (/ i n) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 i i) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 i i) i) n))) n))) n)))
#s(approx (log (+ (/ i n) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 i i) i) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) n))) n) (*.f64 #s(literal -1/2 binary64) (*.f64 i i))) n))) n)))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) n)))))) i)))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) n)))))) i))
#s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) (/.f64 (expm1.f64 (*.f64 n (log.f64 (/.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) n))))) i))
#s(approx (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) (expm1.f64 (*.f64 n (log.f64 (/.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) n))))))
#s(approx (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n) (*.f64 n (-.f64 (log.f64 (neg.f64 i)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (neg.f64 n)))))))
#s(approx (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) (-.f64 (log.f64 (neg.f64 i)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (neg.f64 n))))))
#s(approx (neg (log (neg n))) (neg.f64 (log.f64 (neg.f64 n))))
#s(approx (log (neg n)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (neg.f64 n)))))

eval51.0ms (0.6%)

Memory
20.5MiB live, 100.3MiB allocated; 28ms collecting garbage
Compiler

Compiled 5 545 to 1 887 computations (66% saved)

prune52.0ms (0.6%)

Memory
-69.5MiB live, 54.8MiB allocated; 53ms collecting garbage
Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New24219261
Fresh7916
Picked325
Done101
Total25330283
Accuracy
99.8%
Counts
283 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.1%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n))) (/.f64 i n))
▶31.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
19.9%
(*.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)))
▶60.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
39.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
34.1%
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64))) n)))))
29.0%
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) (/.f64 i n)) (/.f64 n i)))
34.1%
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64))) n)) (/.f64 n i)))
47.2%
(*.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)))
41.9%
(*.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)))
✓68.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
45.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i)))) n) i)))
48.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) i)))))))) n) i)))
43.1%
(*.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)))
68.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) n)))))
65.4%
(*.f64 #s(literal 100 binary64) #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)))
▶68.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 #s(literal 1 binary64) i))))
51.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (+.f64 n (*.f64 i (fma.f64 #s(literal 1/2 binary64) n (*.f64 i (fma.f64 #s(literal 1/24 binary64) (*.f64 i n) (*.f64 #s(literal 1/6 binary64) n)))))))))
34.0%
(*.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 i (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 n i))))))
▶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))))
✓43.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
45.3%
#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))))
45.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))))
65.4%
#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 n n) (/.f64 (log.f64 (/.f64 i n)) i)) #s(literal 100 binary64)))
18.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i))) #s(literal 100 binary64)))
16.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n))) i)) #s(literal 100 binary64)))
28.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i)) #s(literal 100 binary64)))
15.5%
#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)))
18.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (*.f64 (*.f64 n n) (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n)))) i) (*.f64 #s(literal 100 binary64) (/.f64 (log.f64 (/.f64 i n)) i))))))
Compiler

Compiled 1 257 to 1 175 computations (6.5% saved)

series183.0ms (2%)

Memory
40.6MiB live, 224.8MiB allocated; 30ms collecting garbage
Counts
31 → 133
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) (/.f64 #s(literal 1 binary64) i))))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 #s(literal 1 binary64) i)))
(*.f64 (*.f64 (expm1.f64 i) n) (/.f64 #s(literal 1 binary64) i))
(*.f64 (expm1.f64 i) n)
(expm1.f64 i)
i
n
(/.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)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
#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)))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))
(*.f64 #s(literal -1/2 binary64) i)
#s(literal -1/2 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(/.f64 i n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)) #s(literal 100 binary64)))
(*.f64 (*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)) #s(literal 100 binary64))
(*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))
(*.f64 n n)
(/.f64 (log.f64 (/.f64 i n)) i)
(log.f64 (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64))
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)
(-.f64 (/.f64 i n) #s(literal -1 binary64))
#s(literal -1 binary64)
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) (/ 1 i)) #s(hole binary64 (+ n (* 1/2 (* i n)))))
#s(approx (* (* (- (exp i) 1) n) (/ 1 i)) #s(hole binary64 (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))))
#s(approx (* (* (- (exp i) 1) n) (/ 1 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 (/ 1 i) #s(hole binary64 (/ 1 i)))
#s(approx (* -1/2 i) #s(hole binary64 (* -1/2 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 (* (* (* n n) (/ (log (/ i n)) i)) 100) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (log (/ 1 n)))) i))))
#s(approx (* (* n n) (/ (log (/ i n)) i)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (log (/ 1 n)))) i)))
#s(approx (/ (log (/ i n)) i) #s(hole binary64 (/ (+ (log i) (log (/ 1 n))) i)))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log i) (log (/ 1 n)))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 1))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ 1 i)))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))))
#s(approx (- (/ i n) -1) #s(hole binary64 (+ 1 (/ 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) (/ 1 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)))
#s(approx (* (* (* n n) (/ (log (/ i n)) i)) 100) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) i))))
#s(approx (* (* n n) (/ (log (/ i n)) i)) #s(hole binary64 (/ (* (pow n 2) (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) i)))
#s(approx (/ (log (/ i n)) i) #s(hole binary64 (/ (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))) i)))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))
#s(approx (pow (- (/ i n) -1) 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 (- (/ i n) -1) 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 (- (/ i n) -1) 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 (- (/ 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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#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)))
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#s(approx (* (* (* n n) (/ (log (/ i n)) i)) 100) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log (/ -1 n)) (* -1 (log (/ -1 i))))) i))))
#s(approx (* (* n n) (/ (log (/ i n)) i)) #s(hole binary64 (/ (* (pow n 2) (+ (log (/ -1 n)) (* -1 (log (/ -1 i))))) i)))
#s(approx (/ (log (/ i n)) i) #s(hole binary64 (/ (+ (log (/ -1 n)) (* -1 (log (/ -1 i)))) i)))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (/ -1 n)) (* -1 (log (/ -1 i))))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
#s(approx (pow (- (/ i n) -1) 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 (- (/ i n) -1) 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 (- (/ i n) -1) 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)))))
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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))))))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
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#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (/ (log (/ i n)) i) #s(hole binary64 (/ (+ (log i) (* -1 (log n))) i)))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log i) (* -1 (log n)))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
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#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))))
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#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)))))
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#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* n (+ 1 (* 1/2 i)))))
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#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 (- (/ i n) -1) n) #s(hole binary64 (exp i)))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
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#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* -1 (* n (- (* -1/2 i) 1)))))
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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)))
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#s(approx (* (* (* n n) (/ (log (/ i n)) i)) 100) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i))))
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#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
Calls

6 calls:

TimeVariablePointExpression
88.0ms
n
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* (- (exp i) 1) n) (/ 1 i)) (* (- (exp i) 1) n) (- (exp i) 1) i 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 i) -1/2 (* 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))) (* (* (* n n) (/ (log (/ i n)) i)) 100) (* (* n n) (/ (log (/ i n)) i)) (* n n) (/ (log (/ i n)) i) (log (/ i n)) (* 100 (/ (- (pow (- (/ i n) -1) n) 1) (/ i n))) (/ (- (pow (- (/ i n) -1) n) 1) (/ i n)) (- (pow (- (/ i n) -1) n) 1) (pow (- (/ i n) -1) n) (- (/ i n) -1) -1)
25.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* (- (exp i) 1) n) (/ 1 i)) (* (- (exp i) 1) n) (- (exp i) 1) i 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 i) -1/2 (* 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))) (* (* (* n n) (/ (log (/ i n)) i)) 100) (* (* n n) (/ (log (/ i n)) i)) (* n n) (/ (log (/ i n)) i) (log (/ i n)) (* 100 (/ (- (pow (- (/ i n) -1) n) 1) (/ i n))) (/ (- (pow (- (/ i n) -1) n) 1) (/ i n)) (- (pow (- (/ i n) -1) n) 1) (pow (- (/ i n) -1) n) (- (/ i n) -1) -1)
18.0ms
i
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* (- (exp i) 1) n) (/ 1 i)) (* (- (exp i) 1) n) (- (exp i) 1) i 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 i) -1/2 (* 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))) (* (* (* n n) (/ (log (/ i n)) i)) 100) (* (* n n) (/ (log (/ i n)) i)) (* n n) (/ (log (/ i n)) i) (log (/ i n)) (* 100 (/ (- (pow (- (/ i n) -1) n) 1) (/ i n))) (/ (- (pow (- (/ i n) -1) n) 1) (/ i n)) (- (pow (- (/ i n) -1) n) 1) (pow (- (/ i n) -1) n) (- (/ i n) -1) -1)
18.0ms
i
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* (- (exp i) 1) n) (/ 1 i)) (* (- (exp i) 1) n) (- (exp i) 1) i 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 i) -1/2 (* 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))) (* (* (* n n) (/ (log (/ i n)) i)) 100) (* (* n n) (/ (log (/ i n)) i)) (* n n) (/ (log (/ i n)) i) (log (/ i n)) (* 100 (/ (- (pow (- (/ i n) -1) n) 1) (/ i n))) (/ (- (pow (- (/ i n) -1) n) 1) (/ i n)) (- (pow (- (/ i n) -1) n) 1) (pow (- (/ i n) -1) n) (- (/ i n) -1) -1)
17.0ms
n
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* (- (exp i) 1) n) (/ 1 i)) (* (- (exp i) 1) n) (- (exp i) 1) i 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 i) -1/2 (* 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))) (* (* (* n n) (/ (log (/ i n)) i)) 100) (* (* n n) (/ (log (/ i n)) i)) (* n n) (/ (log (/ i n)) i) (log (/ i n)) (* 100 (/ (- (pow (- (/ i n) -1) n) 1) (/ i n))) (/ (- (pow (- (/ i n) -1) n) 1) (/ i n)) (- (pow (- (/ i n) -1) n) 1) (pow (- (/ i n) -1) n) (- (/ i n) -1) -1)

rewrite243.0ms (2.6%)

Memory
5.5MiB live, 232.6MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07756386
08075793
165785793
085275347
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
164 → 263
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) (/.f64 #s(literal 1 binary64) i))))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 #s(literal 1 binary64) i)))
(*.f64 (*.f64 (expm1.f64 i) n) (/.f64 #s(literal 1 binary64) i))
(*.f64 (expm1.f64 i) n)
(expm1.f64 i)
i
n
(/.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)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
#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)))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))
(*.f64 #s(literal -1/2 binary64) i)
#s(literal -1/2 binary64)
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(/.f64 i n)
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#s(approx (pow (- (/ i n) -1) 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 (- (/ i n) -1) 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (+ (* -1/2 i) (* n (+ 1 (* 1/2 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 (* n n) #s(hole binary64 (pow n 2)))
#s(approx (/ (log (/ i n)) i) #s(hole binary64 (/ (+ (log i) (* -1 (log n))) i)))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log i) (* -1 (log n)))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))))
#s(approx (- (/ i n) -1) #s(hole binary64 (/ (+ i n) n)))
#s(approx (* 100 (/ (- (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 (+ (* (* (- 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 (- (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 (- (/ i n) -1) n) #s(hole binary64 (exp i)))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (/ (- (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 (+ (* (* (- 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 (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (* (* n n) (/ (log (/ i n)) i)) 100) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i))))
#s(approx (* (* n n) (/ (log (/ i n)) i)) #s(hole binary64 (/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i)))
#s(approx (/ (log (/ i n)) i) #s(hole binary64 (/ (+ (log (* -1 i)) (log (/ -1 n))) i)))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (* -1 i)) (log (/ -1 n)))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (- (/ i n) -1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
Outputs
(*.f64 #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)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (expm1.f64 i) n))
(*.f64 (*.f64 (expm1.f64 i) n) (/.f64 #s(literal 1 binary64) i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 1 binary64)) i)
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) n)) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 i) n) i)
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) n)))
(*.f64 (expm1.f64 i) n)
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(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)))
(expm1.f64 i)
(-.f64 (exp.f64 i) #s(literal 1 binary64))
(+.f64 (exp.f64 i) #s(literal -1 binary64))
i
n
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) i))
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#s(literal 1 binary64)
(*.f64 #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))) #s(literal 100 binary64))
(*.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))))
#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)))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))
(*.f64 #s(literal -1/2 binary64) i)
(*.f64 i #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 n i)))
(/.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 (neg.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (neg.f64 (/.f64 i n)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(*.f64 i (/.f64 #s(literal 1 binary64) n))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n)) #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n)) #s(literal 100 binary64))
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(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n)))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))) i)
(*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n))
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(*.f64 n (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i)))
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(/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))))
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(*.f64 (fabs.f64 n) (fabs.f64 n))
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(pow.f64 n #s(literal 2 binary64))
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(*.f64 (log.f64 (/.f64 i n)) (/.f64 #s(literal 1 binary64) i))
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(+.f64 (/.f64 (log.f64 i) i) (/.f64 (neg.f64 (log.f64 n)) i))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (log.f64 i))
(/.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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(-.f64 (log.f64 i) (log.f64 n))
(+.f64 (neg.f64 (log.f64 n)) (log.f64 i))
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(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i))
(log.f64 (/.f64 i n))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64))) n)) (/.f64 n i)) #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)
(*.f64 (expm1.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64))) n)) (/.f64 n i))
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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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(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) #s(literal 1 binary64))) n) (pow.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))
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(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))
(+.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) #s(literal 1 binary64))) n) (pow.f64 #s(literal 1 binary64) n))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 i n))) n) (pow.f64 (/.f64 i n) n))
(*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64))) n))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64))) n)) (sinh.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64))) n)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 i n))) (/.f64 i n))
(/.f64 (fma.f64 #s(literal 1 binary64) n i) n)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 i n) (/.f64 i n))) (-.f64 #s(literal 1 binary64) (/.f64 i n)))
(/.f64 (-.f64 (*.f64 (/.f64 i n) (/.f64 i n)) #s(literal 1 binary64)) (+.f64 (/.f64 i n) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 #s(literal 1 binary64) (/.f64 i n)))))
(/.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 i n) (/.f64 i n) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 i n) #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 i n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(-.f64 (/.f64 i n) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 i n)))
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal -1 binary64)
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.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 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (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) (/ 1 i)) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))
#s(approx (* (* (- (exp i) 1) n) (/ 1 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) (/ 1 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 (/ 1 i) (/.f64 #s(literal 1 binary64) i))
#s(approx (* -1/2 i) (*.f64 #s(literal -1/2 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 (* (* (* n n) (/ (log (/ i n)) i)) 100) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n)) #s(literal 100 binary64)))
#s(approx (* (* n n) (/ (log (/ i n)) i)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n)))
#s(approx (/ (log (/ i n)) i) (/.f64 (log.f64 (/.f64 i n)) i))
#s(approx (log (/ i n)) (log.f64 (/.f64 i n)))
#s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64))
#s(approx (pow (- (/ i n) -1) n) (+.f64 i #s(literal 1 binary64)))
#s(approx (pow (- (/ i n) -1) 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 (- (/ i n) -1) 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 (- (/ 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 (*.f64 (*.f64 n n) n) #s(literal -1/2 binary64))) (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 (*.f64 (*.f64 n n) n) #s(literal -1/2 binary64))) (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 (*.f64 (*.f64 n n) n) #s(literal -1/2 binary64))) (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 (*.f64 (*.f64 n n) n) #s(literal -1/2 binary64))) (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) (/ 1 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 (+ (* (* (- 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 (- (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 (*.f64 (*.f64 n n) n) #s(literal -1/2 binary64))) (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 (*.f64 (*.f64 n n) n) #s(literal -1/2 binary64))) (*.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 (* (* (* n n) (/ (log (/ i n)) i)) 100) (*.f64 (/.f64 (*.f64 (*.f64 n n) (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))) i) #s(literal 100 binary64)))
#s(approx (* (* n n) (/ (log (/ i n)) i)) (/.f64 (*.f64 (*.f64 n n) (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))) i))
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#s(approx (log (/ i n)) (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))
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#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 (*.f64 (*.f64 n n) n) #s(literal -1/2 binary64))) 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)))
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#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 (- (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 (/.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 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 n n) n) #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)) (*.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)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.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 (*.f64 (*.f64 n n) n) #s(literal -1/2 binary64))) (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(literal 1 binary64)))
#s(approx (* (* (* n n) (/ (log (/ i n)) i)) 100) (*.f64 (/.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) (*.f64 n n)) i) #s(literal 100 binary64)))
#s(approx (* (* n n) (/ (log (/ i n)) i)) (/.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) (*.f64 n n)) i))
#s(approx (/ (log (/ i n)) i) (/.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) i))
#s(approx (log (/ i n)) (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))
#s(approx (pow (- (/ i n) -1) 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 (- (/ i n) -1) 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 (- (/ i n) -1) n) (+.f64 (neg.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 (fma.f64 (*.f64 (*.f64 n n) (*.f64 n n)) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 n n) n) #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)) (*.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 (- (/ i n) -1) 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 (*.f64 (*.f64 n n) n) #s(literal -1/2 binary64))) (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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n)) #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 n)) (log.f64 (/.f64 i n))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))) n (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))))) n)) (*.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 n (fma.f64 (/.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 i i) i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i 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)))))) (+.f64 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))))) n (*.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i 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 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 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 n)) (log.f64 (/.f64 i 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 n)) (log.f64 (/.f64 i 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 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 n)) (log.f64 (/.f64 i n))) i) #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 i i) i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n (*.f64 #s(literal -1/2 binary64) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (log.f64 (/.f64 i n)) (*.f64 (fma.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i 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 n)) (*.f64 (fma.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 i 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))) n (/.f64 #s(literal 1 binary64) i))) n)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (log.f64 (/.f64 i n)) (*.f64 (fma.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 n (fma.f64 (/.f64 (log.f64 (/.f64 i n)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i 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))))) (/.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 (* n n) (*.f64 n n))
#s(approx (/ (log (/ i n)) i) (/.f64 (log.f64 (/.f64 i n)) i))
#s(approx (log (/ i n)) (log.f64 (/.f64 i n)))
#s(approx (pow (- (/ i n) -1) n) (fma.f64 (log.f64 (/.f64 i n)) n #s(literal 1 binary64)))
#s(approx (pow (- (/ i n) -1) n) (fma.f64 (+.f64 (log.f64 (/.f64 i n)) (*.f64 (fma.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n)) n #s(literal 1 binary64)))
#s(approx (pow (- (/ i n) -1) n) (fma.f64 n (+.f64 (log.f64 (/.f64 i n)) (*.f64 (fma.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 i 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))) n (/.f64 #s(literal 1 binary64) i))) n)) #s(literal 1 binary64)))
#s(approx (- (/ i n) -1) (/.f64 (+.f64 n i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.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 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (*.f64 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 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 (-.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (+.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (*.f64 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 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)) #s(literal 1 binary64)) 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 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (*.f64 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 (- (/ i n) -1) n) (exp.f64 i))
#s(approx (pow (- (/ i n) -1) n) (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)))
#s(approx (pow (- (/ i n) -1) 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 (- (/ i n) -1) 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 i i) (*.f64 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 i i) (*.f64 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 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))) 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 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))) 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 (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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (neg.f64 (*.f64 (fma.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 (- (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 (* (* (* n n) (/ (log (/ i n)) i)) 100) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))) (*.f64 n n)) i) #s(literal 100 binary64)))
#s(approx (* (* n n) (/ (log (/ i n)) i)) (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))) (*.f64 n n)) i))
#s(approx (/ (log (/ i n)) i) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))) i))
#s(approx (log (/ i n)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))))
#s(approx (pow (- (/ i n) -1) 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 (- (/ i n) -1) 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)))

eval38.0ms (0.4%)

Memory
5.9MiB live, 51.6MiB allocated; 3ms collecting garbage
Compiler

Compiled 4 365 to 1 427 computations (67.3% saved)

prune26.0ms (0.3%)

Memory
-4.2MiB live, 52.8MiB allocated; 6ms collecting garbage
Pruning

32 alts after pruning (26 fresh and 6 done)

PrunedKeptTotal
New22716243
Fresh131023
Picked145
Done022
Total24132273
Accuracy
99.8%
Counts
273 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.1%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64))) n))) (/.f64 i n))
▶59.9%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
34.1%
(*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64))) n)) (/.f64 n i)) #s(literal 100 binary64))
✓31.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
19.9%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
✓60.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
59.1%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) (/.f64 n i))))
60.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 i (/.f64 #s(literal 1 binary64) n))))
39.7%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
38.1%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
39.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
34.1%
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64))) n)))))
29.0%
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) (/.f64 i n)) (/.f64 n i)))
▶72.0%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n))
47.2%
(*.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)))
▶41.9%
(*.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)))
✓68.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
45.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i)))) n) i)))
43.1%
(*.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)))
45.4%
(*.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) (/.f64 #s(literal 1 binary64) i))))
43.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 #s(approx (- (exp i) 1) i) n) (/.f64 #s(literal 1 binary64) i))))
▶34.0%
(*.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))))
✓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))))
51.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (* (- (exp i) 1) n) (/ 1 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))))
✓43.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
45.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))))
16.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))) i))
✓16.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)) #s(literal 100 binary64)))
18.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i))) #s(literal 100 binary64)))
16.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))))
▶28.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i)) #s(literal 100 binary64)))
15.5%
#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)))
Compiler

Compiled 1 132 to 1 073 computations (5.2% saved)

series247.0ms (2.7%)

Memory
-6.1MiB live, 369.6MiB allocated; 90ms collecting garbage
Counts
33 → 191
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (*.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
(*.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)))
#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))
(fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))
(/.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i)) i))))
#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)))
#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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i)) i)
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 n i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i)) #s(literal 100 binary64)))
(*.f64 #s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i)) #s(literal 100 binary64))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i))
(/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i)
(*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n)))))
(expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))
(*.f64 n (log.f64 (/.f64 i n)))
(log.f64 (/.f64 i n))
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) 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 (* 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 (/ i n) #s(hole binary64 (/ i n)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) #s(hole binary64 (/ n i)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) #s(hole binary64 (/ (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) i)))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (- (log (neg i)) (log (neg n))))) 1)) i))))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) #s(hole binary64 (/ (* n (- (exp (* n (- (log (neg i)) (log (neg n))))) 1)) i)))
#s(approx (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) #s(hole binary64 (/ (* n (- (exp (* n (+ (log i) (log (/ 1 n))))) 1)) i)))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) #s(hole binary64 (* n (- (exp (* n (+ (log i) (log (/ 1 n))))) 1))))
#s(approx (- (exp (* n (log (/ i n)))) 1) #s(hole binary64 (- (exp (* n (+ (log i) (log (/ 1 n))))) 1)))
#s(approx (* n (log (/ i n))) #s(hole binary64 (* n (+ (log i) (log (/ 1 n))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log i) (log (/ 1 n)))))
#s(approx (* 100 (* (/ (- (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) 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)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)))
#s(approx (- (exp i) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) #s(hole binary64 (* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) #s(hole binary64 (* n (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) #s(hole binary64 (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i))))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (- (* -1 (log (neg (/ 1 i)))) (log (neg n))))) 1)) i))))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) #s(hole binary64 (/ (* n (- (exp (* n (- (* -1 (log (neg (/ 1 i)))) (log (neg n))))) 1)) i)))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) #s(hole binary64 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))))
#s(approx (* n (log (/ i n))) #s(hole binary64 (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) #s(hole binary64 (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) #s(hole binary64 (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) #s(hole binary64 (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))))
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#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) 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 (* 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 (* (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) i) #s(hole binary64 (* i (* n (+ 1/2 (/ 1 i))))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) i) #s(hole binary64 (* n (+ (* -1/2 (/ i n)) (* i (+ 1/2 (/ 1 i)))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) #s(hole binary64 (* n (+ 1/2 (/ 1 i)))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) #s(hole binary64 (* n (- (+ 1/2 (/ 1 i)) (* 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 (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) #s(hole binary64 (/ (* n (- (pow (/ i n) n) 1)) i)))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) #s(hole binary64 (* n (- (pow (/ i n) n) 1))))
#s(approx (- (exp (* n (log (/ i n)))) 1) #s(hole binary64 (- (pow (/ i n) n) 1)))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (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 (+ (* (* (- 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 (* (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) i) #s(hole binary64 (* -1 (* n (+ (* -1 (* i (+ 1/2 (/ 1 i)))) (* 1/2 (/ i n)))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) (+ 1/2 (/ 1 i)))))))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (- (log (neg i)) (log (* -1 n))))) 1)) i))))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) #s(hole binary64 (/ (* n (- (exp (* n (- (log (neg i)) (log (* -1 n))))) 1)) i)))
#s(approx (* n (log (/ i n))) #s(hole binary64 (* n (+ (log (* -1 i)) (log (/ -1 n))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (* -1 i)) (log (/ -1 n)))))
Calls

6 calls:

TimeVariablePointExpression
82.0ms
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) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i n (* 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 (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* 100 (- (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)) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (* (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) i) (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (/ n i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (* n (- (exp (* n (log (/ i n)))) 1)) (- (exp (* n (log (/ i n)))) 1) (* n (log (/ i n))) (log (/ i n)))
37.0ms
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) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i n (* 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 (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* 100 (- (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)) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (* (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) i) (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (/ n i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (* n (- (exp (* n (log (/ i n)))) 1)) (- (exp (* n (log (/ i n)))) 1) (* n (log (/ i n))) (log (/ i n)))
36.0ms
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) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i n (* 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 (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* 100 (- (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)) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (* (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) i) (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (/ n i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (* n (- (exp (* n (log (/ i n)))) 1)) (- (exp (* n (log (/ i n)))) 1) (* n (log (/ i n))) (log (/ i n)))
35.0ms
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) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i n (* 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 (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* 100 (- (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)) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (* (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) i) (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (/ n i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (* n (- (exp (* n (log (/ i n)))) 1)) (- (exp (* n (log (/ i n)))) 1) (* n (log (/ i n))) (log (/ i n)))
32.0ms
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) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i n (* 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 (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* 100 (- (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)) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (* (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) i) (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (/ n i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (* n (- (exp (* n (log (/ i n)))) 1)) (- (exp (* n (log (/ i n)))) 1) (* n (log (/ i n))) (log (/ i n)))

rewrite225.0ms (2.4%)

Memory
-1.3MiB live, 222.5MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011209726
011538776
083158137
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
224 → 303
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (*.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
(*.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)))
#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))
(fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))
(/.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i)) i))))
#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)))
#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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i)) i)
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 n i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i)) #s(literal 100 binary64)))
(*.f64 #s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i)) #s(literal 100 binary64))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i))
(/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i)
(*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n)))))
(expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))
(*.f64 n (log.f64 (/.f64 i n)))
(log.f64 (/.f64 i n))
#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) 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)))))))
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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)) (+ (* 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))))))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) 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 (* 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 (* (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) i) #s(hole binary64 (+ (* -1/2 i) (* i (* n (+ 1/2 (/ 1 i)))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) #s(hole binary64 (- (* n (+ 1/2 (/ 1 i))) 1/2)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) #s(hole binary64 (* 100 (/ (* (pow n 2) (- (log (neg i)) (log (neg n)))) i))))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) #s(hole binary64 (* (pow n 2) (+ (* 50 (/ (* n (pow (- (log (neg i)) (log (neg n))) 2)) i)) (* 100 (/ (- (log (neg i)) (log (neg n))) i))))))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (- (log (neg i)) (log (neg n))) i)) (* n (+ (* 50/3 (/ (* n (pow (- (log (neg i)) (log (neg n))) 3)) i)) (* 50 (/ (pow (- (log (neg i)) (log (neg n))) 2) i))))))))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (- (log (neg i)) (log (neg n))) i)) (* n (+ (* 50 (/ (pow (- (log (neg i)) (log (neg n))) 2) i)) (* n (+ (* 25/6 (/ (* n (pow (- (log (neg i)) (log (neg n))) 4)) i)) (* 50/3 (/ (pow (- (log (neg i)) (log (neg n))) 3) i))))))))))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) #s(hole binary64 (/ (* (pow n 2) (- (log (neg i)) (log (neg n)))) i)))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) #s(hole binary64 (* (pow n 2) (- (+ (* 1/2 (/ (* n (pow (- (log (neg i)) (log (neg n))) 2)) i)) (/ (log (neg i)) i)) (/ (log (neg n)) i)))))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) #s(hole binary64 (* (pow n 2) (- (+ (* n (+ (* 1/6 (/ (* n (pow (- (log (neg i)) (log (neg n))) 3)) i)) (* 1/2 (/ (pow (- (log (neg i)) (log (neg n))) 2) i)))) (/ (log (neg i)) i)) (/ (log (neg n)) i)))))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) #s(hole binary64 (* (pow n 2) (- (+ (* n (+ (* 1/2 (/ (pow (- (log (neg i)) (log (neg n))) 2) i)) (* n (+ (* 1/24 (/ (* n (pow (- (log (neg i)) (log (neg n))) 4)) i)) (* 1/6 (/ (pow (- (log (neg i)) (log (neg n))) 3) i)))))) (/ (log (neg i)) i)) (/ (log (neg n)) i)))))
#s(approx (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* 1/2 (/ (* n (pow (+ (log i) (* -1 (log n))) 2)) i)) (/ (log i) i))))))
#s(approx (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/6 (/ (* n (pow (+ (log i) (* -1 (log n))) 3)) i)) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)))) (/ (log i) i))))))
#s(approx (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (* n (+ (* 1/24 (/ (* n (pow (+ (log i) (* -1 (log n))) 4)) i)) (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)))))) (/ (log i) i))))))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) #s(hole binary64 (* (pow n 2) (+ (log i) (* -1 (log n))))))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) #s(hole binary64 (* (pow n 2) (+ (log i) (+ (* -1 (log n)) (* 1/2 (* n (pow (+ (log i) (* -1 (log n))) 2))))))))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) #s(hole binary64 (* (pow n 2) (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/6 (* n (pow (+ (log i) (* -1 (log n))) 3))) (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)))))))))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) #s(hole binary64 (* (pow n 2) (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (* n (+ (* 1/24 (* n (pow (+ (log i) (* -1 (log n))) 4))) (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)))))))))))
#s(approx (- (exp (* n (log (/ i n)))) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* 1/2 (* n (pow (+ (log i) (* -1 (log n))) 2))))))))
#s(approx (- (exp (* n (log (/ i n)))) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/6 (* n (pow (+ (log i) (* -1 (log n))) 3))) (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)))))))))
#s(approx (- (exp (* n (log (/ i n)))) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (* n (+ (* 1/24 (* n (pow (+ (log i) (* -1 (log n))) 4))) (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)))))))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log i) (* -1 (log 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) 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 (+ (* (* (- 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 (* 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 (* (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) i) #s(hole binary64 (* i (* n (+ 1/2 (/ 1 i))))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) i) #s(hole binary64 (* n (+ (* -1/2 (/ i n)) (* i (+ 1/2 (/ 1 i)))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) #s(hole binary64 (* n (+ 1/2 (/ 1 i)))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) #s(hole binary64 (* n (- (+ 1/2 (/ 1 i)) (* 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 (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) #s(hole binary64 (/ (* n (- (pow (/ i n) n) 1)) i)))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) #s(hole binary64 (* n (- (pow (/ i n) n) 1))))
#s(approx (- (exp (* n (log (/ i n)))) 1) #s(hole binary64 (- (pow (/ i n) n) 1)))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (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 (+ (* (* (- 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 (* (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) i) #s(hole binary64 (* -1 (* n (+ (* -1 (* i (+ 1/2 (/ 1 i)))) (* 1/2 (/ i n)))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) (+ 1/2 (/ 1 i)))))))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (- (log (neg i)) (log (* -1 n))))) 1)) i))))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) #s(hole binary64 (/ (* n (- (exp (* n (- (log (neg i)) (log (* -1 n))))) 1)) i)))
#s(approx (* n (log (/ i n))) #s(hole binary64 (* n (+ (log (* -1 i)) (log (/ -1 n))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (* -1 i)) (log (/ -1 n)))))
Outputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n))
#s(literal 100 binary64)
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#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i (-.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 i (fma.f64 #s(literal 100 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) n)))) (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))))))))))
#s(approx (/ i n) (/.f64 i n))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (/.f64 n i))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (/.f64 (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) i))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i)))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i))
#s(approx (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))))
#s(approx (- (exp (* n (log (/ i n)))) 1) (expm1.f64 (*.f64 n (log.f64 (/.f64 i n)))))
#s(approx (* n (log (/ i n))) (*.f64 n (log.f64 (/.f64 i n))))
#s(approx (log (/ i n)) (log.f64 (/.f64 i n)))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i)))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (/.f64 (*.f64 (*.f64 (*.f64 n n) n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i))) i))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))))) (*.f64 i i)) (/.f64 (*.f64 (*.f64 (*.f64 n n) n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i)))) i))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))))) (*.f64 i i)) (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n))))))) (*.f64 (*.f64 i i) i)) (/.f64 (*.f64 (*.f64 (*.f64 n n) n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i))))) i))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/.f64 (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (/.f64 (*.f64 (*.f64 (*.f64 n n) n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i)) i))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/.f64 (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (+.f64 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))))) (*.f64 i i)) (/.f64 (*.f64 (*.f64 (*.f64 n n) n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i))) i))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/.f64 (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (+.f64 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))))) (*.f64 i i)) (+.f64 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n))))))) (*.f64 (*.f64 i i) i)) (/.f64 (*.f64 (*.f64 (*.f64 n n) n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i)))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i)) #s(literal 1 binary64)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n))))) (*.f64 i i)) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i))) #s(literal 1 binary64)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n))))) (*.f64 i i)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))))) (*.f64 (*.f64 i i) i)) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i)))) #s(literal 1 binary64)) i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n))))) (*.f64 i i)) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n))))) (*.f64 i i)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))))) (*.f64 (*.f64 i i) i)) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i)))) #s(literal 1 binary64)))
#s(approx (- (exp i) 1) (expm1.f64 i))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 i (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 n i))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) (+.f64 (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n))))) (*.f64 i i)) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n))))) (*.f64 i i)) (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 n n) n) (*.f64 (*.f64 n n) n)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))))) (*.f64 (*.f64 i i) i)) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))) i))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 n i)))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (log.f64 (neg.f64 n)))))) i)))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (log.f64 (neg.f64 n)))))) i))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) (*.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))))
#s(approx (* n (log (/ i n))) (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i))))))
#s(approx (log (/ i n)) (+.f64 (neg.f64 (log.f64 n)) (neg.f64 (neg.f64 (log.f64 i)))))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))) i)))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (/.f64 (*.f64 (*.f64 (*.f64 n n) n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))) i))) i)))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))) (neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (*.f64 n n) n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))))) i))) i))) i)))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (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 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))))) i))) i)) (*.f64 #s(literal -100 binary64) (*.f64 (*.f64 (*.f64 n n) n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))))) i))) i)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))) i))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 n n) n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))) i))) i)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 n n) n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))))) i)) i))) i)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n))))))) (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (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 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))))) i)) i)) (*.f64 (*.f64 (*.f64 n n) n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (neg.f64 (/.f64 (+.f64 (neg.f64 (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))) (neg.f64 (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (neg.f64 (/.f64 (+.f64 (neg.f64 (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))) (neg.f64 (/.f64 (fma.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n))))) i)) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (neg.f64 (/.f64 (+.f64 (neg.f64 (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (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 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i)) i)) (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))))) i))) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 n (+.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) (-.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))) i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))))) (neg.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n))))) i))) i))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (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 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i)) (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))))) i))) i))) #s(literal 1 binary64)))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (neg.f64 (*.f64 i (+.f64 (neg.f64 (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (neg.f64 (/.f64 n i))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) (+.f64 (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))) i))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n))))) i))) i)) (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (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 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i) (*.f64 #s(literal 100 binary64) (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) (*.f64 n n))))))) i))) i)) (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))))))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (log.f64 (neg.f64 n)))))) i)))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (log.f64 (neg.f64 n)))))) i))
#s(approx (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))) i))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) (*.f64 n (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))))
#s(approx (- (exp (* n (log (/ i n)))) 1) (expm1.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))))
#s(approx (* n (log (/ i n))) (*.f64 n (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))
#s(approx (log (/ i n)) (+.f64 (neg.f64 (log.f64 (neg.f64 n))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n))) i)))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (/.f64 (log.f64 (/.f64 i n)) i)))))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (-.f64 (+.f64 (neg.f64 (/.f64 (log.f64 n) (*.f64 i i))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))))))))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 i i) i)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) i) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) (*.f64 i i))))))) (-.f64 (+.f64 (neg.f64 (/.f64 (log.f64 n) (*.f64 i i))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)))))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/.f64 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n))) i))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (*.f64 (*.f64 n n) (+.f64 (neg.f64 (/.f64 (log.f64 n) i)) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (/.f64 (log.f64 i) i)))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (*.f64 (*.f64 n n) (+.f64 (neg.f64 (/.f64 (log.f64 n) i)) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i) (fma.f64 n (-.f64 (+.f64 (neg.f64 (/.f64 (log.f64 n) (*.f64 i i))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) (/.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)))) (/.f64 (log.f64 i) i)))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (*.f64 (*.f64 n n) (+.f64 (neg.f64 (/.f64 (log.f64 n) i)) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i) (fma.f64 n (-.f64 (+.f64 (neg.f64 (/.f64 (log.f64 n) (*.f64 i i))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 i i) i)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) i) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) (*.f64 i i))))))) (/.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)))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (+.f64 (neg.f64 (/.f64 (log.f64 n) i)) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (+.f64 (neg.f64 (/.f64 (log.f64 n) i)) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i) (fma.f64 n (-.f64 (+.f64 (neg.f64 (/.f64 (log.f64 n) (*.f64 i i))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) (/.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)))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (+.f64 (neg.f64 (/.f64 (log.f64 n) i)) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i) (fma.f64 n (-.f64 (+.f64 (neg.f64 (/.f64 (log.f64 n) (*.f64 i i))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 i i) i)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) i) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) (*.f64 i i))))))) (/.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)))) (/.f64 (log.f64 i) i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (log.f64 (/.f64 i n))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (log.f64 i) (+.f64 (neg.f64 (log.f64 n)) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) (/.f64 #s(literal 1 binary64) i)))))))
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#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)))
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#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) i) (fma.f64 #s(literal -1/2 binary64) i (*.f64 i (fma.f64 n #s(literal 1/2 binary64) (/.f64 n i)))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) i)) #s(literal -1/2 binary64)))
#s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n))
#s(approx (- 1/2 (/ 1/2 n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (/ 1/2 n) (/.f64 #s(literal 1/2 binary64) n))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n))) i)))
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#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n (fma.f64 #s(literal 50/3 binary64) (/.f64 (*.f64 n (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64))) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i)))))))
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#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n))) i))
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#s(approx (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (*.f64 (*.f64 n n) (+.f64 (neg.f64 (/.f64 (log.f64 n) i)) (fma.f64 n (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 n (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64))) i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (*.f64 (*.f64 n n) (+.f64 (neg.f64 (/.f64 (log.f64 n) i)) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i) (*.f64 n (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 n (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64))) i) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i))))) (/.f64 (log.f64 i) i)))))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) (*.f64 (*.f64 n n) (log.f64 (/.f64 i n))))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (-.f64 (neg.f64 (log.f64 n)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n)))))))))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (+.f64 (neg.f64 (log.f64 n)) (*.f64 n (fma.f64 #s(literal 1/6 binary64) (*.f64 n (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))))))))))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (+.f64 (neg.f64 (log.f64 n)) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) (*.f64 n (fma.f64 #s(literal 1/24 binary64) (*.f64 n (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)))))))))))
#s(approx (- (exp (* n (log (/ i n)))) 1) (*.f64 n (+.f64 (log.f64 i) (-.f64 (neg.f64 (log.f64 n)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n)))))))))
#s(approx (- (exp (* n (log (/ i n)))) 1) (*.f64 n (+.f64 (log.f64 i) (+.f64 (neg.f64 (log.f64 n)) (*.f64 n (fma.f64 #s(literal 1/6 binary64) (*.f64 n (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))))))))))
#s(approx (- (exp (* n (log (/ i n)))) 1) (*.f64 n (+.f64 (log.f64 i) (+.f64 (neg.f64 (log.f64 n)) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) (*.f64 n (fma.f64 #s(literal 1/24 binary64) (*.f64 n (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)))))))))))
#s(approx (log (/ i n)) (log.f64 (/.f64 i n)))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))))
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#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/.f64 (*.f64 n (expm1.f64 i)) i))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (/.f64 (exp.f64 i) i)) (/.f64 #s(literal 1 binary64) i))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 i (*.f64 n n))))) (/.f64 #s(literal 1 binary64) i))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i))))) (*.f64 (*.f64 n n) n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 i (*.f64 n n)))))) (/.f64 #s(literal 1 binary64) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 (expm1.f64 i) i))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 i (*.f64 n n))))) (/.f64 #s(literal 1 binary64) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i))))) (*.f64 (*.f64 n n) n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 i (*.f64 n n)))))) (/.f64 #s(literal 1 binary64) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (-.f64 (exp.f64 i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 n n)))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (+.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)))))) (*.f64 (*.f64 n n) n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 n n))))) #s(literal 1 binary64)))
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#s(approx (* (- 1/2 (/ 1/2 n)) n) (*.f64 #s(literal 1/2 binary64) n))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 i)))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (+.f64 (expm1.f64 i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 n n))))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (expm1.f64 i) (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)))))) (*.f64 (*.f64 n n) n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 n n)))))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) i) (*.f64 i (fma.f64 n #s(literal 1/2 binary64) (/.f64 n i))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) i) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) i))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (fma.f64 n #s(literal 1/2 binary64) (/.f64 n i)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (*.f64 n (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64))
#s(approx (- 1/2 (/ 1/2 n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (/.f64 (*.f64 n (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) (*.f64 n (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))))
#s(approx (- (exp (* n (log (/ i n)))) 1) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 i n)))) n))))))
#s(approx (* 100 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n)) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) i) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) (*.f64 i n)))) n))) n))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (neg.f64 (*.f64 n (-.f64 (neg.f64 (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (neg.f64 (*.f64 n (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 i n))) n)) (neg.f64 (/.f64 (expm1.f64 i) i))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (neg.f64 (*.f64 n (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) i)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) (*.f64 i n))) n)) (*.f64 #s(literal 1/2 binary64) (*.f64 i (exp.f64 i)))) n)) (neg.f64 (/.f64 (expm1.f64 i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) (*.f64 i n))) (*.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)))) n)) (/.f64 (exp.f64 i) i)) (/.f64 #s(literal 1 binary64) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) (*.f64 i n))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) i)) n)) (*.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)))) n)) (/.f64 (exp.f64 i) i)) (/.f64 #s(literal 1 binary64) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 i) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) n)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 i) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) n)) (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i))))) n)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1 binary64)))))
#s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (neg.f64 (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 #s(literal 1/2 binary64) (/.f64 i n))) #s(literal 1 binary64)))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (neg.f64 (*.f64 n (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))) n) (*.f64 #s(literal 50 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n)) (*.f64 #s(literal -100 binary64) (expm1.f64 i))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) n) (*.f64 #s(literal 100 binary64) (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i)))))) n)) (*.f64 #s(literal -50 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n)) (*.f64 #s(literal -100 binary64) (expm1.f64 i))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) i) (neg.f64 (*.f64 n (-.f64 (neg.f64 (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) i)))) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (neg.f64 (*.f64 n (-.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) i))))))
#s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i)))
#s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i))
#s(approx (* n (log (/ i n))) (*.f64 n (log.f64 (/.f64 i n))))
#s(approx (log (/ i n)) (log.f64 (/.f64 i n)))

eval35.0ms (0.4%)

Memory
32.0MiB live, 74.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 7 011 to 2 016 computations (71.2% saved)

prune63.0ms (0.7%)

Memory
-26.5MiB live, 69.5MiB allocated; 26ms collecting garbage
Pruning

36 alts after pruning (27 fresh and 9 done)

PrunedKeptTotal
New2859294
Fresh31821
Picked145
Done156
Total29036326
Accuracy
99.8%
Counts
326 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.0%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (log.f64 (/.f64 i n))))) (/.f64 i n))
✓59.9%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
38.0%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i)))))) (/.f64 i n))
39.8%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
35.7%
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i (-.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))) (/.f64 i n))
59.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))))
34.1%
(*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64))) n)) (/.f64 n i)) #s(literal 100 binary64))
59.0%
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i))
✓31.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
19.9%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (- (/ i n) -1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
✓60.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
60.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 i (/.f64 #s(literal 1 binary64) n))))
39.7%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
38.1%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
39.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
34.1%
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64))) n)))))
29.0%
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) (/.f64 i n)) (/.f64 n i)))
✓72.0%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n))
47.2%
(*.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)))
✓41.9%
(*.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)))
45.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i)))) n) i)))
43.1%
(*.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)))
45.4%
(*.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) (/.f64 #s(literal 1 binary64) i))))
43.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 #s(approx (- (exp i) 1) i) n) (/.f64 #s(literal 1 binary64) i))))
29.1%
(*.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(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) n (/.f64 n i)) i))))
34.4%
(*.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(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) n (/.f64 n i)) i))))
38.6%
(*.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(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (/.f64 n i)) i))))
✓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))))
51.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (* (- (exp i) 1) n) (/ 1 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))))
✓43.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
45.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))))
16.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))) i))
✓16.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)) #s(literal 100 binary64)))
18.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i))) #s(literal 100 binary64)))
16.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))))
✓28.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i)) #s(literal 100 binary64)))
Compiler

Compiled 1 439 to 1 032 computations (28.3% saved)

regimes154.0ms (1.7%)

Memory
-38.0MiB live, 189.7MiB allocated; 119ms collecting garbage
Counts
66 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #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)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (/.f64 n i)) 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 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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) (/.f64 #s(literal 1 binary64) 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 (-.f64 #s(approx (pow (- (/ i n) -1) 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) n (/.f64 n i)) 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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (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)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) n (/.f64 n i)) i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i)))) n) i)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i)))))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 #s(literal 1 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) n)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 i (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) (/.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) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) (/.f64 #s(literal 1 binary64) 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 #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 i (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 n i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n))) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i))) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (log.f64 (/.f64 i n))))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i (-.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) 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) (/ 1 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (+.f64 n (*.f64 i (fma.f64 #s(literal 1/2 binary64) n (*.f64 i (fma.f64 #s(literal 1/24 binary64) (*.f64 i n) (*.f64 #s(literal 1/6 binary64) n)))))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.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 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) i)))))))) n) i)))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64))) n)) (/.f64 n i)) #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 n i)))
(*.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(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 (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 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64))) n)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
(*.f64 #s(literal 100 binary64) #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)))
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) (/.f64 i n)) (/.f64 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)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n i))) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 n i))))
#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 #s(literal 100 binary64) n (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) 100) (*.f64 (*.f64 n n) (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n)))) i) (*.f64 #s(literal 100 binary64) (/.f64 (log.f64 (/.f64 i n)) i))))))
#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 n)) (log.f64 (/.f64 i n))) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (expm1.f64 (*.f64 (+.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)))
Outputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #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) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n))
Calls

4 calls:

52.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
19.0ms
n
18.0ms
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)))
Results
AccuracySegmentsBranch
78.7%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
78.7%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
76.2%3i
84.3%4n
Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes28.0ms (0.3%)

Memory
21.4MiB live, 71.3MiB allocated; 7ms collecting garbage
Counts
54 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.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)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (/.f64 n i)) 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 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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) (/.f64 #s(literal 1 binary64) 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 (-.f64 #s(approx (pow (- (/ i n) -1) 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) n (/.f64 n i)) 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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (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)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) n (/.f64 n i)) i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i)))) n) i)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i)))))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 #s(literal 1 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) n)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 i (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) (/.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) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) (/.f64 #s(literal 1 binary64) 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 #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 i (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 n i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n))) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i))) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (log.f64 (/.f64 i n))))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i (-.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) 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) (/ 1 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (+.f64 n (*.f64 i (fma.f64 #s(literal 1/2 binary64) n (*.f64 i (fma.f64 #s(literal 1/24 binary64) (*.f64 i n) (*.f64 #s(literal 1/6 binary64) n)))))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.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 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) i)))))))) n) i)))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64))) n)) (/.f64 n i)) #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 n i)))
(*.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(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 (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 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64))) n)) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n))
Calls

1 calls:

24.0ms
n
Results
AccuracySegmentsBranch
84.3%4n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes49.0ms (0.5%)

Memory
5.4MiB live, 51.7MiB allocated; 2ms collecting garbage
Counts
46 → 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)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (/.f64 n i)) 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 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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) (/.f64 #s(literal 1 binary64) 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 (-.f64 #s(approx (pow (- (/ i n) -1) 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) n (/.f64 n i)) 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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (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)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) n (/.f64 n i)) i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i)))) n) i)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i)))))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 #s(literal 1 binary64) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) n)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 i (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) (/.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) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) (/.f64 #s(literal 1 binary64) 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 #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 i (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 n i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n))) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(approx (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i) (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i))) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (log.f64 (/.f64 i n))))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 i (-.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) 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) (/ 1 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (+.f64 n (*.f64 i (fma.f64 #s(literal 1/2 binary64) n (*.f64 i (fma.f64 #s(literal 1/24 binary64) (*.f64 i n) (*.f64 #s(literal 1/6 binary64) n)))))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* n (/ (- (exp (* (+ (neg (neg (log (neg i)))) (neg (log (neg n)))) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.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 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) i)))))))) n) i)))
Outputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n))
Calls

1 calls:

45.0ms
n
Results
AccuracySegmentsBranch
82.6%4n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes27.0ms (0.3%)

Memory
-24.8MiB live, 21.6MiB allocated; 4ms collecting garbage
Counts
15 → 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)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (/.f64 n i)) 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 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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) (/.f64 #s(literal 1 binary64) 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 (-.f64 #s(approx (pow (- (/ i n) -1) 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) n (/.f64 n i)) 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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #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:

25.0ms
n
Results
AccuracySegmentsBranch
82.5%5n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes28.0ms (0.3%)

Memory
13.9MiB live, 61.4MiB allocated; 7ms collecting garbage
Counts
14 → 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)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (/.f64 n i)) 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 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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) (/.f64 #s(literal 1 binary64) 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 (-.f64 #s(approx (pow (- (/ i n) -1) 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 (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) n (/.f64 n i)) 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)))
Outputs
(*.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 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) n) i n)))
Calls

4 calls:

9.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
8.0ms
n
6.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
4.0ms
i
Results
AccuracySegmentsBranch
57.4%4i
47.2%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
47.2%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)))
61.5%4n
Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes4.0ms (0%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Counts
10 → 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)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (/.f64 n i)) 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 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) 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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) n) i n)))
Calls

1 calls:

3.0ms
n
Results
AccuracySegmentsBranch
56.5%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory
-27.1MiB live, 18.6MiB allocated; 5ms 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)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (/.f64 n i)) 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 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) 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:

5.0ms
i
3.0ms
n
Results
AccuracySegmentsBranch
55.5%5i
55.7%3n
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes2.0ms (0%)

Memory
7.4MiB live, 7.4MiB 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)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (/.f64 n i)) 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)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (/.f64 n i)) 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

1 calls:

2.0ms
n
Results
AccuracySegmentsBranch
55.3%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory
12.9MiB live, 12.9MiB 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)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (/.f64 n i)) i))))
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 #s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (/.f64 n i)) 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)) #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) n) (/ n i)) (/.f64 n i)) i))))
Calls

2 calls:

2.0ms
i
2.0ms
n
Results
AccuracySegmentsBranch
51.5%3i
51.4%3n
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Accuracy

Total -25.8b remaining (-70.9%)

Threshold costs -25.8b (-70.9%)

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:

1.0ms
n
1.0ms
i
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
43.1%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
43.1%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
43.1%1n
43.1%1i
Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch187.0ms (2%)

Memory
-24.4MiB live, 395.6MiB allocated; 50ms collecting garbage
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
56.0ms
7.357627438880251e-16
1.2765125983465466e-12
40.0ms
4.6047276114046675e-279
1.2143481723704363e-276
64.0ms
-4.377458559603935e-115
-4.8069736374697965e-120
Samples
77.0ms135×2valid
40.0ms197×1valid
14.0ms286×0invalid
4.0ms68×0valid
Compiler

Compiled 669 to 699 computations (-4.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-pow: 65.0ms (56.7% of total)
ival-div!: 22.0ms (19.2% of total)
adjust: 14.0ms (12.2% of total)
ival-mult!: 8.0ms (7% of total)
ival-add!: 3.0ms (2.6% of total)
ival-sub!: 3.0ms (2.6% of total)

bsearch48.0ms (0.5%)

Memory
23.6MiB live, 69.3MiB allocated; 5ms collecting garbage
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.357627438880251e-16
1.2765125983465466e-12
43.0ms
4.6047276114046675e-279
1.2143481723704363e-276
1.0ms
-4.377458559603935e-115
-4.8069736374697965e-120
Samples
24.0ms23×1valid
8.0ms34×2valid
4.0ms77×0invalid
2.0ms39×0valid
Compiler

Compiled 635 to 682 computations (-7.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-pow: 4.0ms (34.3% of total)
ival-div!: 3.0ms (25.8% of total)
adjust: 2.0ms (17.2% of total)
ival-add!: 1.0ms (8.6% of total)
ival-sub!: 1.0ms (8.6% of total)
ival-mult!: 1.0ms (8.6% of total)

bsearch55.0ms (0.6%)

Memory
2.3MiB live, 98.6MiB allocated; 28ms collecting garbage
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.357627438880251e-16
1.2765125983465466e-12
50.0ms
4.0316801155378454e-232
4.987282207004023e-230
1.0ms
-4.377458559603935e-115
-4.8069736374697965e-120
Samples
14.0ms55×2valid
6.0ms32×1valid
4.0ms90×0invalid
1.0ms25×0valid
Compiler

Compiled 643 to 672 computations (-4.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-pow: 8.0ms (39.9% of total)
adjust: 6.0ms (29.9% of total)
ival-div!: 4.0ms (19.9% of total)
ival-mult!: 2.0ms (10% of total)
ival-add!: 1.0ms (5% of total)
ival-sub!: 1.0ms (5% of total)

bsearch45.0ms (0.5%)

Memory
-19.1MiB live, 127.4MiB allocated; 13ms collecting garbage
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.357627438880251e-16
1.2765125983465466e-12
1.0ms
4.0316801155378454e-232
4.987282207004023e-230
1.0ms
-4.377458559603935e-115
-4.8069736374697965e-120
41.0ms
-3.641991254500117e-28
-1.0043934640062374e-28
Samples
22.0ms28×2valid
13.0ms51×1valid
2.0ms35×0invalid
0.0ms1×0valid
Compiler

Compiled 785 to 811 computations (-3.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-pow: 23.0ms (70.3% of total)
adjust: 5.0ms (15.3% of total)
ival-div!: 2.0ms (6.1% 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)

bsearch41.0ms (0.4%)

Memory
25.2MiB live, 117.5MiB allocated; 7ms collecting garbage
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.357627438880251e-16
1.2765125983465466e-12
1.0ms
4.0316801155378454e-232
4.987282207004023e-230
37.0ms
-4.377458559603935e-115
-4.8069736374697965e-120
Samples
16.0ms27×2valid
8.0ms52×1valid
2.0ms3×3valid
2.0ms32×0invalid
1.0ms14×0valid
Compiler

Compiled 745 to 757 computations (-1.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-pow: 17.0ms (68.2% of total)
adjust: 3.0ms (12% of total)
ival-div!: 3.0ms (12% of total)
ival-add!: 1.0ms (4% of total)
ival-mult!: 1.0ms (4% of total)
ival-sub!: 1.0ms (4% of total)

bsearch8.0ms (0.1%)

Memory
-25.8MiB live, 21.4MiB allocated; 2ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
1.0ms
7.357627438880251e-16
1.2765125983465466e-12
7.0ms
-2.601957332230026
-0.0028900183323608882
Samples
4.0ms6×2valid
1.0ms6×1valid
0.0ms4×0valid
0.0ms5×0invalid
Compiler

Compiled 295 to 301 computations (-2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-pow: 4.0ms (82.2% of total)
ival-add!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
26.5MiB live, 75.3MiB allocated; 6ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×predicate-same
Steps
TimeLeftRight
27.0ms
4.7981439738639075e-71
1.6555553433111662e-23
0.0ms
-2.601957332230026
-0.0028900183323608882
Samples
10.0ms17×2valid
8.0ms43×1valid
2.0ms31×0invalid
0.0ms4×0valid
Compiler

Compiled 163 to 165 computations (-1.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-pow: 12.0ms (70.5% of total)
adjust: 2.0ms (11.8% of total)
ival-div!: 2.0ms (11.8% of total)
ival-mult!: 1.0ms (5.9% of total)
ival-add!: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch59.0ms (0.6%)

Memory
20.0MiB live, 95.9MiB allocated; 31ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×predicate-same
Steps
TimeLeftRight
0.0ms
4.7981439738639075e-71
1.6555553433111662e-23
57.0ms
-2.601957332230026
-0.0028900183323608882
Samples
19.0ms17×2valid
9.0ms12×3valid
6.0ms33×1valid
2.0ms34×0valid
1.0ms28×0invalid
Compiler

Compiled 502 to 466 computations (7.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-pow: 15.0ms (43.3% of total)
ival-mult!: 14.0ms (40.4% of total)
adjust: 3.0ms (8.7% of total)
ival-div!: 3.0ms (8.7% of total)
ival-add!: 1.0ms (2.9% of total)
ival-sub!: 1.0ms (2.9% of total)

bsearch245.0ms (2.6%)

Memory
-43.4MiB live, 302.6MiB allocated; 120ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
67.0ms
7.327268795759179e-72
1.5500335177398382e-69
170.0ms
-2.0741304861968163e-138
-2.2953428336399643e-143
Samples
133.0ms234×1valid
86.0ms22×2valid
2.0ms36×0invalid
0.0ms1×1exit
Compiler

Compiled 754 to 703 computations (6.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 180.0ms
ival-pow: 161.0ms (89.4% of total)
adjust: 7.0ms (3.9% of total)
ival-div!: 6.0ms (3.3% of total)
ival-mult!: 3.0ms (1.7% of total)
ival-sub!: 2.0ms (1.1% of total)
ival-add!: 1.0ms (0.6% of total)

derivations418.0ms (4.5%)

Memory
60.5MiB live, 438.5MiB allocated; 113ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 185 to 116 computations (37.3% saved)

preprocess108.0ms (1.2%)

Memory
-1.6MiB live, 187.3MiB allocated; 67ms collecting garbage
Compiler

Compiled 226 to 144 computations (36.3% saved)

end0.0ms (0%)

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

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