Compound Interest

Time bar (total: 6.3s)

start0.0ms (0%)

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

analyze156.0ms (2.5%)

Memory
11.7MiB live, 344.8MiB allocated; 36ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
39.1%39%60.9%0.1%0%0%0%7
44.5%44.5%55.4%0.1%0%0%0%8
55.3%55%44.5%0.1%0%0.4%0%9
59.3%58.7%40.4%0.1%0%0.8%0%10
65.5%64.5%34%0.1%0%1.5%0%11
67.8%66.6%31.6%0.1%0%1.8%0%12
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample3.4s (53.7%)

Memory
9.3MiB live, 4 602.4MiB allocated; 601ms collecting garbage
Samples
1.4s4 486×1valid
1.2s1 739×2valid
182.0ms1 977×0invalid
122.0ms1 979×0valid
55.0ms52×3valid
2.0ms22×1exit
Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-pow: 1.9s (69.7% of total)
ival-div!: 371.0ms (13.8% of total)
adjust: 237.0ms (8.8% of total)
ival-mult!: 82.0ms (3% of total)
ival-sub!: 76.0ms (2.8% of total)
ival-add!: 49.0ms (1.8% of total)
Bogosity

preprocess45.0ms (0.7%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032100
113492
264892
3435192
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 24 to 20 computations (16.7% saved)

series22.0ms (0.4%)

Memory
8.2MiB live, 8.2MiB 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)

rewrite227.0ms (3.6%)

Memory
7.3MiB live, 52.0MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06245385
06354939
151834859
084204537
1239834537
Stop Event
iter-limit
node-limit
iter-limit
Counts
103 → 123
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)))))
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#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)))))))))
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#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)))))))))
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#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))))
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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) (+ (* -1/4 (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)))
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#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))))))
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Outputs
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
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i
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#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 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (*.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 (+.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (exp.f64 i) 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 (*.f64 n n) i)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 i i) i) i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (*.f64 (*.f64 n n) n) 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 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (*.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 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (*.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 (*.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) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (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)) #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 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (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 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (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 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (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)))

eval12.0ms (0.2%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 905 to 796 computations (72.6% saved)

prune11.0ms (0.2%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New9819117
Fresh000
Picked011
Done000
Total9820118
Accuracy
99.7%
Counts
118 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.1%
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n))
28.7%
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
29.1%
(*.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)))
9.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (/.f64 i n)) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
12.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
15.2%
(*.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)))
45.4%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
13.4%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
25.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n))) (/.f64 i n)))
60.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
41.2%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
58.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
70.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
51.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
15.1%
#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 (log.f64 i))) n))) i))
67.1%
#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))
11.9%
#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)))
24.7%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) i)) #s(literal 100 binary64)))
14.7%
#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)))
20.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) n (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (*.f64 (*.f64 n n) n)) i))) i)))
Compiler

Compiled 708 to 656 computations (7.3% saved)

series167.0ms (2.7%)

Memory
0.4MiB live, 89.6MiB allocated; 9ms collecting garbage
Counts
34 → 141
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (expm1.f64 i) n) i)
(*.f64 (expm1.f64 i) n)
(expm1.f64 i)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(/.f64 i n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1 binary64)
#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 (log.f64 i))) n))) i))
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 i))) n))) i)
(*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 i))) n)))
(*.f64 n #s(literal 100 binary64))
(expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 i))) n))
(*.f64 (-.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 i))) n)
(-.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 i)))
(neg.f64 (log.f64 n))
(log.f64 n)
(neg.f64 (log.f64 i))
(log.f64 i)
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* 1/2 (* i n)))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i n)))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i (+ n (* 1/2 (* i n))))))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n)))))))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n)))))))))
#s(approx (- (exp i) 1) #s(hole binary64 i))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 1))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (- (log i) (log n)))) 1)) i))))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* 100 (* n (- (exp (* n (- (log i) (log n)))) 1)))))
#s(approx (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) #s(hole binary64 (- (exp (* n (- (log i) (log n)))) 1)))
#s(approx (* (- (neg (log n)) (neg (log i))) n) #s(hole binary64 (* n (- (log i) (log n)))))
#s(approx (- (neg (log n)) (neg (log i))) #s(hole binary64 (- (log i) (log n))))
#s(approx (neg (log i)) #s(hole binary64 (* -1 (log i))))
#s(approx (log i) #s(hole binary64 (log 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 (- (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 (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (* i (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (* i (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (- (* -1 (log (/ 1 i))) (log n)))) 1)) i))))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* 100 (* n (- (exp (* n (- (* -1 (log (/ 1 i))) (log n)))) 1)))))
#s(approx (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) #s(hole binary64 (- (exp (* n (- (* -1 (log (/ 1 i))) (log n)))) 1)))
#s(approx (* (- (neg (log n)) (neg (log i))) n) #s(hole binary64 (* n (- (* -1 (log (/ 1 i))) (log n)))))
#s(approx (- (neg (log n)) (neg (log i))) #s(hole binary64 (- (* -1 (log (/ 1 i))) (log n))))
#s(approx (neg (log i)) #s(hole binary64 (log (/ 1 i))))
#s(approx (log i) #s(hole binary64 (* -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))))
#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)))
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#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* 100 (* n (- (exp (* n (- (+ (log -1) (* -1 (log (/ -1 i)))) (log n)))) 1)))))
#s(approx (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) #s(hole binary64 (- (exp (* n (- (+ (log -1) (* -1 (log (/ -1 i)))) (log n)))) 1)))
#s(approx (* (- (neg (log n)) (neg (log i))) n) #s(hole binary64 (* n (- (+ (log -1) (* -1 (log (/ -1 i)))) (log n)))))
#s(approx (- (neg (log n)) (neg (log i))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ -1 i)))) (log n))))
#s(approx (neg (log i)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 i)))))))
#s(approx (log i) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 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)))
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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) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* -1/2 (/ (pow i 2) n))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (/ (+ (* -1/2 (pow i 2)) (* i (* n (+ 1 (* 1/2 i))))) n)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (* -1/2 (/ i n))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* 100 (/ (* (pow n 2) (- (log i) (log n))) i))))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* 50 (/ (* n (pow (- (log i) (log n)) 2)) i)) (* 100 (/ (- (log i) (log n)) i))))))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (- (log i) (log n)) i)) (* n (+ (* 50/3 (/ (* n (pow (- (log i) (log n)) 3)) i)) (* 50 (/ (pow (- (log i) (log n)) 2) i))))))))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (- (log i) (log n)) i)) (* n (+ (* 50 (/ (pow (- (log i) (log n)) 2) i)) (* n (+ (* 25/6 (/ (* n (pow (- (log i) (log n)) 4)) i)) (* 50/3 (/ (pow (- (log i) (log n)) 3) i))))))))))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* 100 (* (pow n 2) (- (log i) (log n))))))
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#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* (pow n 2) (+ (* 100 (- (log i) (log n))) (* n (+ (* 50/3 (* n (pow (- (log i) (log n)) 3))) (* 50 (pow (- (log i) (log n)) 2))))))))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* (pow n 2) (+ (* 100 (- (log i) (log n))) (* n (+ (* 50 (pow (- (log i) (log n)) 2)) (* n (+ (* 25/6 (* n (pow (- (log i) (log n)) 4))) (* 50/3 (pow (- (log i) (log n)) 3))))))))))
#s(approx (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) #s(hole binary64 (* n (- (+ (log i) (* 1/2 (* n (pow (- (log i) (log n)) 2)))) (log n)))))
#s(approx (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) #s(hole binary64 (* n (- (+ (log i) (* n (+ (* 1/6 (* n (pow (- (log i) (log n)) 3))) (* 1/2 (pow (- (log i) (log n)) 2))))) (log n)))))
#s(approx (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) #s(hole binary64 (* n (- (+ (log i) (* n (+ (* 1/2 (pow (- (log i) (log n)) 2)) (* n (+ (* 1/24 (* n (pow (- (log i) (log n)) 4))) (* 1/6 (pow (- (log i) (log n)) 3))))))) (log n)))))
#s(approx (neg (log n)) #s(hole binary64 (* -1 (log n))))
#s(approx (log n) #s(hole binary64 (log 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 (* 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)))))))
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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)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
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#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
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#s(approx (* (- (neg (log n)) (neg (log i))) n) #s(hole binary64 (* n (- (log i) (* -1 (log (/ 1 n)))))))
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#s(approx (neg (log n)) #s(hole binary64 (log (/ 1 n))))
#s(approx (log n) #s(hole binary64 (* -1 (log (/ 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)))))))
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#s(approx (* (- (neg (log n)) (neg (log i))) n) #s(hole binary64 (* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))))))
#s(approx (- (neg (log n)) (neg (log i))) #s(hole binary64 (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (neg (log n)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
Calls

6 calls:

TimeVariablePointExpression
42.0ms
i
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (/ i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) (* (- (neg (log n)) (neg (log i))) n) (- (neg (log n)) (neg (log i))) (neg (log n)) (log n) (neg (log i)) (log i))
36.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (/ i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) (* (- (neg (log n)) (neg (log i))) n) (- (neg (log n)) (neg (log i))) (neg (log n)) (log n) (neg (log i)) (log i))
33.0ms
n
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (/ i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) (* (- (neg (log n)) (neg (log i))) n) (- (neg (log n)) (neg (log i))) (neg (log n)) (log n) (neg (log i)) (log i))
23.0ms
i
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (/ i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) (* (- (neg (log n)) (neg (log i))) n) (- (neg (log n)) (neg (log i))) (neg (log n)) (log n) (neg (log i)) (log i))
15.0ms
n
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (/ i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) (* (- (neg (log n)) (neg (log i))) n) (- (neg (log n)) (neg (log i))) (neg (log n)) (log n) (neg (log i)) (log i))

rewrite235.0ms (3.7%)

Memory
-2.0MiB live, 49.6MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08706220
09115411
168925411
080285167
1215265167
Stop Event
iter-limit
node-limit
iter-limit
Counts
175 → 326
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (expm1.f64 i) n) i)
(*.f64 (expm1.f64 i) n)
(expm1.f64 i)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(/.f64 i n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))
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(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1 binary64)
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(*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 i))) n)))
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#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))))))
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#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i n)))
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#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))))
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#s(approx (/ i n) #s(hole binary64 (/ i n)))
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#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (- (log i) (log n)))) 1)) i))))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* 100 (* n (- (exp (* n (- (log i) (log n)))) 1)))))
#s(approx (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) #s(hole binary64 (- (exp (* n (- (log i) (log n)))) 1)))
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#s(approx (neg (log i)) #s(hole binary64 (* -1 (log i))))
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#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* n (- (exp i) 1))))
#s(approx (- (exp i) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (* i (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (* i (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))))
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#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* 100 (* n (- (exp (* n (- (* -1 (log (/ 1 i))) (log n)))) 1)))))
#s(approx (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) #s(hole binary64 (- (exp (* n (- (* -1 (log (/ 1 i))) (log n)))) 1)))
#s(approx (* (- (neg (log n)) (neg (log i))) n) #s(hole binary64 (* n (- (* -1 (log (/ 1 i))) (log n)))))
#s(approx (- (neg (log n)) (neg (log i))) #s(hole binary64 (- (* -1 (log (/ 1 i))) (log n))))
#s(approx (neg (log i)) #s(hole binary64 (log (/ 1 i))))
#s(approx (log i) #s(hole binary64 (* -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))))
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#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)))
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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)))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* -1/2 (/ (pow i 2) n))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (/ (+ (* -1/2 (pow i 2)) (* i (* n (+ 1 (* 1/2 i))))) n)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (* -1/2 (/ i n))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* 100 (/ (* (pow n 2) (- (log i) (log n))) i))))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* 50 (/ (* n (pow (- (log i) (log n)) 2)) i)) (* 100 (/ (- (log i) (log n)) i))))))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (- (log i) (log n)) i)) (* n (+ (* 50/3 (/ (* n (pow (- (log i) (log n)) 3)) i)) (* 50 (/ (pow (- (log i) (log n)) 2) i))))))))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (- (log i) (log n)) i)) (* n (+ (* 50 (/ (pow (- (log i) (log n)) 2) i)) (* n (+ (* 25/6 (/ (* n (pow (- (log i) (log n)) 4)) i)) (* 50/3 (/ (pow (- (log i) (log n)) 3) i))))))))))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* 100 (* (pow n 2) (- (log i) (log n))))))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* (pow n 2) (+ (* 50 (* n (pow (- (log i) (log n)) 2))) (* 100 (- (log i) (log n)))))))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* (pow n 2) (+ (* 100 (- (log i) (log n))) (* n (+ (* 50/3 (* n (pow (- (log i) (log n)) 3))) (* 50 (pow (- (log i) (log n)) 2))))))))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* (pow n 2) (+ (* 100 (- (log i) (log n))) (* n (+ (* 50 (pow (- (log i) (log n)) 2)) (* n (+ (* 25/6 (* n (pow (- (log i) (log n)) 4))) (* 50/3 (pow (- (log i) (log n)) 3))))))))))
#s(approx (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) #s(hole binary64 (* n (- (+ (log i) (* 1/2 (* n (pow (- (log i) (log n)) 2)))) (log n)))))
#s(approx (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) #s(hole binary64 (* n (- (+ (log i) (* n (+ (* 1/6 (* n (pow (- (log i) (log n)) 3))) (* 1/2 (pow (- (log i) (log n)) 2))))) (log n)))))
#s(approx (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) #s(hole binary64 (* n (- (+ (log i) (* n (+ (* 1/2 (pow (- (log i) (log n)) 2)) (* n (+ (* 1/24 (* n (pow (- (log i) (log n)) 4))) (* 1/6 (pow (- (log i) (log n)) 3))))))) (log n)))))
#s(approx (neg (log n)) #s(hole binary64 (* -1 (log n))))
#s(approx (log n) #s(hole binary64 (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 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (* (- (neg (log n)) (neg (log i))) n) #s(hole binary64 (* n (- (log i) (* -1 (log (/ 1 n)))))))
#s(approx (- (neg (log n)) (neg (log i))) #s(hole binary64 (- (log i) (* -1 (log (/ 1 n))))))
#s(approx (neg (log n)) #s(hole binary64 (log (/ 1 n))))
#s(approx (log n) #s(hole binary64 (* -1 (log (/ 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 (- (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 (* (- (neg (log n)) (neg (log i))) n) #s(hole binary64 (* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))))))
#s(approx (- (neg (log n)) (neg (log i))) #s(hole binary64 (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (neg (log n)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 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 (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 (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 n (expm1.f64 i))
(/.f64 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) #s(literal 1 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.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(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) (/.f64 i n)))
(/.f64 (neg.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (neg.f64 (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))
(/.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))
(/.f64 (neg.f64 i) (neg.f64 n))
(/.f64 i n)
(/.f64 #s(literal 1 binary64) (/.f64 n i))
(*.f64 (*.f64 (/.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)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.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)) i) n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(*.f64 (/.f64 #s(approx (- (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)) i) n)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 1 binary64) (/.f64 i n)))
(/.f64 (neg.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))) (neg.f64 (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(*.f64 i (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)))
(fma.f64 i #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))
(fma.f64 #s(literal 1 binary64) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) i))
(+.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 1 binary64))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 i n)) n)) (*.f64 (*.f64 n n) n)) i))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (*.f64 n n) n) (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 i n)) n)) i) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (log.f64 (/.f64 i n)) n))) n) (*.f64 i i))))) i))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 i n)) n)) (*.f64 (*.f64 n n) n)) i)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n (fma.f64 (*.f64 (*.f64 n n) n) (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 i n)) n)) i) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (exp.f64 (*.f64 (log.f64 (/.f64 i n)) n))) n) (*.f64 i i)))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n (fma.f64 n (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 i i))) (fma.f64 n (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) i))) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 i n)) n)) (*.f64 (*.f64 n n) n)) i)))) i))
#s(approx (/ (* (- (exp i) 1) n) i) (/.f64 (*.f64 (expm1.f64 i) n) i))
#s(approx (* (- (exp i) 1) n) (*.f64 (expm1.f64 i) n))
#s(approx (- (exp i) 1) (expm1.f64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 i n)) n)) i) (exp.f64 (*.f64 (log.f64 (/.f64 i n)) n))) #s(literal 1 binary64)))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 i i)) (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) i)) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 i n)) n)) (*.f64 n n)) i))) (exp.f64 (*.f64 (log.f64 (/.f64 i n)) n))) #s(literal 1 binary64)))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (*.f64 i i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) i) #s(literal 100 binary64)))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)))
#s(approx (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)))
#s(approx (* (- (neg (log n)) (neg (log i))) n) (*.f64 (log.f64 (/.f64 i n)) n))
#s(approx (- (neg (log n)) (neg (log i))) (log.f64 (/.f64 i n)))
#s(approx (neg (log i)) (neg.f64 (log.f64 i)))
#s(approx (log i) (neg.f64 (neg.f64 (log.f64 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 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 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i)) (*.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 (fma.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (*.f64 (*.f64 n n) n)) #s(literal 100 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i))) (*.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 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n)))))) i))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.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 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 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i)) (*.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) (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 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)) (neg.f64 (*.f64 (*.f64 n (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #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) (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 (pow.f64 n #s(literal 4 binary64)) #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 (pow.f64 n #s(literal 4 binary64)) #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 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 n #s(literal 5 binary64)) #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 (+ (* (- 1/2 (/ 1/2 n)) i) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) i)) i)))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (*.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) (log.f64 n)) n)) i)) #s(literal 100 binary64)))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) (log.f64 n)) n)) n) #s(literal 100 binary64)))
#s(approx (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) (expm1.f64 (*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) (log.f64 n)) n)))
#s(approx (* (- (neg (log n)) (neg (log i))) n) (*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) (log.f64 n)) n))
#s(approx (- (neg (log n)) (neg (log i))) (-.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) (log.f64 n)))
#s(approx (neg (log i)) (neg.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))))))
#s(approx (log i) (+.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))
#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 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal 100 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) (/.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 (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 (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) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (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)))))) n (-.f64 (+.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 (neg.f64 (log.f64 n)) (*.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 (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 (neg.f64 (log.f64 n)) (*.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) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (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)))))) 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 (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n) i (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (/.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n)) n))
#s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n))
#s(approx (- 1/2 (/ 1/2 n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)) n))
#s(approx (/ 1/2 n) (/.f64 #s(literal 1/2 binary64) n))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (*.f64 (*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)) #s(literal 100 binary64)))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (*.f64 (fma.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) n) i) #s(literal 50 binary64))) (*.f64 n n)))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (*.f64 (fma.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i) #s(literal 50 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) n) i) #s(literal 50/3 binary64))) n)) (*.f64 n n)))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (*.f64 (fma.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) i) #s(literal 50 binary64) (*.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) #s(literal 50/3 binary64) (*.f64 (*.f64 n (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) i)) #s(literal 25/6 binary64))) n)) n)) (*.f64 n n)))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64)))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 50 binary64) n) (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) (*.f64 (log.f64 (/.f64 i n)) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) n) #s(literal 50/3 binary64) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) #s(literal 50 binary64))) n (*.f64 (log.f64 (/.f64 i n)) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (fma.f64 n (fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) n) #s(literal 25/6 binary64) (*.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) #s(literal 50/3 binary64))) n (*.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) #s(literal 50 binary64))) (*.f64 (log.f64 (/.f64 i n)) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) n) #s(literal 1/2 binary64) (log.f64 i)) (log.f64 n)) n))
#s(approx (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) (*.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) n) #s(literal 1/6 binary64))) n (log.f64 i)) (log.f64 n)) n))
#s(approx (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1) (*.f64 (-.f64 (fma.f64 n (fma.f64 (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) n) #s(literal 1/24 binary64))) n)) (log.f64 i)) (log.f64 n)) n))
#s(approx (neg (log n)) (neg.f64 (log.f64 n)))
#s(approx (log n) (log.f64 n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 (*.f64 n n) i)) (/.f64 (expm1.f64 i) i)) (*.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) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (*.f64 (*.f64 n n) n) i)) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.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) (pow.f64 i #s(literal 4 binary64)) (*.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 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 (*.f64 n n) i)) (/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (*.f64 (*.f64 n n) n) i))) (/.f64 (exp.f64 i) i))) (/.f64 #s(literal 1 binary64) i)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.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) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (*.f64 n n) n)))) #s(literal 1 binary64)))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)) #s(literal 1 binary64)))
#s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64))
#s(approx (- 1/2 (/ 1/2 n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (* (- (neg (log n)) (neg (log i))) n) (*.f64 (log.f64 (/.f64 i n)) n))
#s(approx (- (neg (log n)) (neg (log i))) (log.f64 (/.f64 i n)))
#s(approx (neg (log n)) (neg.f64 (log.f64 n)))
#s(approx (log n) (neg.f64 (neg.f64 (log.f64 n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (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) (pow.f64 i #s(literal 4 binary64)) (*.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 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (*.f64 n 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) (pow.f64 i #s(literal 4 binary64)) (*.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 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.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) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (* (- (neg (log n)) (neg (log i))) n) (*.f64 (-.f64 (-.f64 (log.f64 i) #s(literal 0 binary64)) (neg.f64 (neg.f64 (log.f64 (neg.f64 n))))) n))
#s(approx (- (neg (log n)) (neg (log i))) (-.f64 (-.f64 (log.f64 i) #s(literal 0 binary64)) (neg.f64 (neg.f64 (log.f64 (neg.f64 n))))))
#s(approx (neg (log n)) (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 n)))) #s(literal 0 binary64))))
#s(approx (log n) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 n)))) #s(literal 0 binary64)))

eval32.0ms (0.5%)

Memory
-20.6MiB live, 24.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 4 771 to 1 967 computations (58.8% saved)

prune16.0ms (0.2%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New28214296
Fresh7714
Picked325
Done101
Total29323316
Accuracy
99.7%
Counts
316 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.9%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
28.7%
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
76.0%
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
9.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (/.f64 i n)) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
12.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
15.2%
(*.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)))
34.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
13.4%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
41.2%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) i)) (/.f64 i n)))
58.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
70.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
58.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
52.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
58.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
51.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
22.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i))
15.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (fma.f64 (log.f64 i) n (*.f64 (neg.f64 (log.f64 n)) n)))) i))
21.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 (fabs.f64 i) n)) n))) i))
18.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n))) i))
11.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))) i))
22.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
11.9%
#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)))
24.7%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) i)))
Compiler

Compiled 795 to 759 computations (4.5% saved)

series270.0ms (4.3%)

Memory
-18.7MiB live, 120.3MiB allocated; 33ms collecting garbage
Counts
32 → 187
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
i
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i))
(/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)
(*.f64 #s(approx (- (exp i) 1) i) n)
#s(approx (- (exp i) 1) i)
(/.f64 (*.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)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))) i))
(/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))) i)
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64)))
(*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))
(*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))
(log.f64 (/.f64 i n))
(*.f64 n n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n))) i))
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n))) i)
(*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n)))
(*.f64 n #s(literal 100 binary64))
(expm1.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n))
(*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n)
(log.f64 (/.f64 i (fabs.f64 n)))
(/.f64 i (fabs.f64 n))
(fabs.f64 n)
Outputs
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* 100 n)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 n))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 1))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* 1/2 (* i n)))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))))
#s(approx (* (- (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 (* 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 (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (- (log i) (log n)))) 1)) i))))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* 100 (* n (- (exp (* n (- (log i) (log n)))) 1)))))
#s(approx (* (* (log (/ i n)) (* n n)) 100) #s(hole binary64 (* 100 (* (pow n 2) (+ (log i) (log (/ 1 n)))))))
#s(approx (* (log (/ i n)) (* n n)) #s(hole binary64 (* (pow n 2) (+ (log i) (log (/ 1 n))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log i) (log (/ 1 n)))))
#s(approx (/ (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) i) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log i) (log (/ 1 (fabs n)))))) 1)) i))))
#s(approx (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) #s(hole binary64 (* 100 (* n (- (exp (* n (+ (log i) (log (/ 1 (fabs n)))))) 1)))))
#s(approx (- (exp (* (log (/ i (fabs n))) n)) 1) #s(hole binary64 (- (exp (* n (+ (log i) (log (/ 1 (fabs n)))))) 1)))
#s(approx (* (log (/ i (fabs n))) n) #s(hole binary64 (* n (+ (log i) (log (/ 1 (fabs n)))))))
#s(approx (log (/ i (fabs n))) #s(hole binary64 (+ (log i) (log (/ 1 (fabs n))))))
#s(approx (/ i (fabs n)) #s(hole binary64 (/ i (fabs n))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)))
#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 (/ (* (- (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 (* 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 (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (- (* -1 (log (/ 1 i))) (log n)))) 1)) i))))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* 100 (* n (- (exp (* n (- (* -1 (log (/ 1 i))) (log n)))) 1)))))
#s(approx (* (* (log (/ i n)) (* n n)) 100) #s(hole binary64 (* 100 (* (pow n 2) (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))
#s(approx (* (log (/ i n)) (* n n)) #s(hole binary64 (* (pow n 2) (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
#s(approx (/ (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) i) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 (fabs n))) (* -1 (log (/ 1 i)))))) 1)) i))))
#s(approx (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) #s(hole binary64 (* 100 (* n (- (exp (* n (+ (log (/ 1 (fabs n))) (* -1 (log (/ 1 i)))))) 1)))))
#s(approx (- (exp (* (log (/ i (fabs n))) n)) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 (fabs n))) (* -1 (log (/ 1 i)))))) 1)))
#s(approx (* (log (/ i (fabs n))) n) #s(hole binary64 (* n (+ (log (/ 1 (fabs n))) (* -1 (log (/ 1 i)))))))
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#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* 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 (/ (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) i) #s(hole binary64 (* 100 (/ (* n (- (pow (/ i (fabs n)) n) 1)) i))))
#s(approx (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) #s(hole binary64 (* 100 (* n (- (pow (/ i (fabs n)) n) 1)))))
#s(approx (- (exp (* (log (/ i (fabs n))) n)) 1) #s(hole binary64 (- (pow (/ i (fabs n)) n) 1)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (* (log (/ i n)) (* n n)) 100) #s(hole binary64 (* 100 (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))))))
#s(approx (* (log (/ i n)) (* n n)) #s(hole binary64 (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (* -1 i)) (log (/ -1 n)))))
Calls

6 calls:

TimeVariablePointExpression
64.0ms
i
@inf
((* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i n 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (/ (* 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))) (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (* (* (log (/ i n)) (* n n)) 100) (* (log (/ i n)) (* n n)) (log (/ i n)) (* n n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) i) (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1) (* (log (/ i (fabs n))) n) (log (/ i (fabs n))) (/ i (fabs n)) (fabs n))
57.0ms
n
@-inf
((* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i n 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (/ (* 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))) (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (* (* (log (/ i n)) (* n n)) 100) (* (log (/ i n)) (* n n)) (log (/ i n)) (* n n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) i) (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1) (* (log (/ i (fabs n))) n) (log (/ i (fabs n))) (/ i (fabs n)) (fabs n))
51.0ms
i
@-inf
((* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i n 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (/ (* 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))) (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (* (* (log (/ i n)) (* n n)) 100) (* (log (/ i n)) (* n n)) (log (/ i n)) (* n n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) i) (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1) (* (log (/ i (fabs n))) n) (log (/ i (fabs n))) (/ i (fabs n)) (fabs n))
41.0ms
i
@0
((* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i n 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (/ (* 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))) (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (* (* (log (/ i n)) (* n n)) 100) (* (log (/ i n)) (* n n)) (log (/ i n)) (* n n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) i) (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1) (* (log (/ i (fabs n))) n) (log (/ i (fabs n))) (/ i (fabs n)) (fabs n))
27.0ms
n
@0
((* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i n 100 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (/ (* 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))) (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (* (* (log (/ i n)) (* n n)) 100) (* (log (/ i n)) (* n n)) (log (/ i n)) (* n n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) i) (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1) (* (log (/ i (fabs n))) n) (log (/ i (fabs n))) (/ i (fabs n)) (fabs n))

rewrite177.0ms (2.8%)

Memory
9.5MiB live, 54.3MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011269435
011588380
087068002
1223498002
Stop Event
iter-limit
node-limit
iter-limit
Counts
219 → 316
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
i
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i))
(/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)
(*.f64 #s(approx (- (exp i) 1) i) n)
#s(approx (- (exp i) 1) i)
(/.f64 (*.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)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))) i))
(/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))) i)
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64)))
(*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))
(*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))
(log.f64 (/.f64 i n))
(*.f64 n n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n))) i))
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n))) i)
(*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n)))
(*.f64 n #s(literal 100 binary64))
(expm1.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n))
(*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n)
(log.f64 (/.f64 i (fabs.f64 n)))
(/.f64 i (fabs.f64 n))
(fabs.f64 n)
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* 100 n)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 n))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 1))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* 1/2 (* i n)))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))))
#s(approx (* (- (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 (* 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))))))))))
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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 (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (/ (* n (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (* 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 (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* 100 (/ (* (pow n 2) (- (log i) (log n))) i))))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* 50 (/ (* n (pow (- (log i) (log n)) 2)) i)) (* 100 (/ (- (log i) (log n)) i))))))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (- (log i) (log n)) i)) (* n (+ (* 50/3 (/ (* n (pow (- (log i) (log n)) 3)) i)) (* 50 (/ (pow (- (log i) (log n)) 2) i))))))))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (- (log i) (log n)) i)) (* n (+ (* 50 (/ (pow (- (log i) (log n)) 2) i)) (* n (+ (* 25/6 (/ (* n (pow (- (log i) (log n)) 4)) i)) (* 50/3 (/ (pow (- (log i) (log n)) 3) i))))))))))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* 100 (* (pow n 2) (- (log i) (log n))))))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* (pow n 2) (+ (* 50 (* n (pow (- (log i) (log n)) 2))) (* 100 (- (log i) (log n)))))))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* (pow n 2) (+ (* 100 (- (log i) (log n))) (* n (+ (* 50/3 (* n (pow (- (log i) (log n)) 3))) (* 50 (pow (- (log i) (log n)) 2))))))))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* (pow n 2) (+ (* 100 (- (log i) (log n))) (* n (+ (* 50 (pow (- (log i) (log n)) 2)) (* n (+ (* 25/6 (* n (pow (- (log i) (log n)) 4))) (* 50/3 (pow (- (log i) (log n)) 3))))))))))
#s(approx (* (* (log (/ i n)) (* n n)) 100) #s(hole binary64 (* 100 (* (pow n 2) (+ (log i) (* -1 (log n)))))))
#s(approx (* (log (/ i n)) (* n n)) #s(hole binary64 (* (pow n 2) (+ (log i) (* -1 (log n))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log i) (* -1 (log n)))))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (/ (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) i) #s(hole binary64 (* 100 (/ (* (pow n 2) (log (/ i (fabs n)))) i))))
#s(approx (/ (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* 50 (/ (* n (pow (log (/ i (fabs n))) 2)) i)) (* 100 (/ (log (/ i (fabs n))) i))))))
#s(approx (/ (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (log (/ i (fabs n))) i)) (* n (+ (* 50/3 (/ (* n (pow (log (/ i (fabs n))) 3)) i)) (* 50 (/ (pow (log (/ i (fabs n))) 2) i))))))))
#s(approx (/ (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (log (/ i (fabs n))) i)) (* n (+ (* 50 (/ (pow (log (/ i (fabs n))) 2) i)) (* n (+ (* 25/6 (/ (* n (pow (log (/ i (fabs n))) 4)) i)) (* 50/3 (/ (pow (log (/ i (fabs n))) 3) i))))))))))
#s(approx (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) #s(hole binary64 (* 100 (* (pow n 2) (log (/ i (fabs n)))))))
#s(approx (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) #s(hole binary64 (* (pow n 2) (+ (* 50 (* n (pow (log (/ i (fabs n))) 2))) (* 100 (log (/ i (fabs n))))))))
#s(approx (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) #s(hole binary64 (* (pow n 2) (+ (* 100 (log (/ i (fabs n)))) (* n (+ (* 50/3 (* n (pow (log (/ i (fabs n))) 3))) (* 50 (pow (log (/ i (fabs n))) 2))))))))
#s(approx (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) #s(hole binary64 (* (pow n 2) (+ (* 100 (log (/ i (fabs n)))) (* n (+ (* 50 (pow (log (/ i (fabs n))) 2)) (* n (+ (* 25/6 (* n (pow (log (/ i (fabs n))) 4))) (* 50/3 (pow (log (/ i (fabs n))) 3))))))))))
#s(approx (- (exp (* (log (/ i (fabs n))) n)) 1) #s(hole binary64 (* n (log (/ i (fabs n))))))
#s(approx (- (exp (* (log (/ i (fabs n))) n)) 1) #s(hole binary64 (* n (+ (log (/ i (fabs n))) (* 1/2 (* n (pow (log (/ i (fabs n))) 2)))))))
#s(approx (- (exp (* (log (/ i (fabs n))) n)) 1) #s(hole binary64 (* n (+ (log (/ i (fabs n))) (* n (+ (* 1/6 (* n (pow (log (/ i (fabs n))) 3))) (* 1/2 (pow (log (/ i (fabs n))) 2))))))))
#s(approx (- (exp (* (log (/ i (fabs n))) n)) 1) #s(hole binary64 (* n (+ (log (/ i (fabs n))) (* n (+ (* 1/2 (pow (log (/ i (fabs n))) 2)) (* n (+ (* 1/24 (* n (pow (log (/ i (fabs n))) 4))) (* 1/6 (pow (log (/ i (fabs n))) 3))))))))))
#s(approx (log (/ i (fabs n))) #s(hole binary64 (log (/ i (fabs n)))))
#s(approx (fabs n) #s(hole binary64 (fabs n)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* 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 (/ (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) i) #s(hole binary64 (* 100 (/ (* n (- (pow (/ i (fabs n)) n) 1)) i))))
#s(approx (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) #s(hole binary64 (* 100 (* n (- (pow (/ i (fabs n)) n) 1)))))
#s(approx (- (exp (* (log (/ i (fabs n))) n)) 1) #s(hole binary64 (- (pow (/ i (fabs n)) n) 1)))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (* (log (/ i n)) (* n n)) 100) #s(hole binary64 (* 100 (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))))))
#s(approx (* (log (/ i n)) (* n n)) #s(hole binary64 (* (pow n 2) (+ (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))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n)
(*.f64 n (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(/.f64 (neg.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (neg.f64 i))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)
(/.f64 #s(literal 1 binary64) (/.f64 i #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(/.f64 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) #s(literal 1 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (-.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
#s(literal 100 binary64)
(*.f64 #s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/.f64 (*.f64 #s(approx (- (exp i) 1) 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) i) n) i)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i))
(*.f64 (*.f64 #s(approx (- (exp i) 1) i) n) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))
(/.f64 (neg.f64 (*.f64 #s(approx (- (exp i) 1) i) n)) (neg.f64 i))
(/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))
(*.f64 #s(approx (- (exp i) 1) i) n)
(*.f64 n #s(approx (- (exp i) 1) i))
#s(approx (- (exp i) 1) i)
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) (*.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) i))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) (neg.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) (*.f64 n n) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64))) i))) i)))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) (*.f64 n n))) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64))))) i))) i))) #s(literal 1 binary64)))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (expm1.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) #s(literal 100 binary64)))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) (+.f64 (expm1.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) (*.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) i)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) (*.f64 n n) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64))) i)))) i)) (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)))))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) (*.f64 n n)) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64))))) i))) i)) (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)))))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) (log.f64 n)) n))) i))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) (log.f64 n)) n))))
#s(approx (* (* (log (/ i n)) (* n n)) 100) (*.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) (*.f64 n n)) #s(literal 100 binary64)))
#s(approx (* (log (/ i n)) (* n n)) (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) (*.f64 n n)))
#s(approx (log (/ i n)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))
#s(approx (/ (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) i) (*.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 n))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) i)) #s(literal 100 binary64)))
#s(approx (* (* n 100) (- (exp (* (log (/ i (fabs n))) n)) 1)) (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 n))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) n) #s(literal 100 binary64)))
#s(approx (- (exp (* (log (/ i (fabs n))) n)) 1) (expm1.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 n))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)))
#s(approx (* (log (/ i (fabs n))) n) (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 n))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n))
#s(approx (log (/ i n)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 n))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 i 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 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64) (*.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))) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal 100 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) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (-.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))))))) 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)))))) n)) n)) (*.f64 n n)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (*.f64 (+.f64 (/.f64 (neg.f64 (log.f64 n)) i) (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 n n)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (*.f64 (+.f64 (/.f64 (neg.f64 (log.f64 n)) i) (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 n n)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (*.f64 (+.f64 (/.f64 (neg.f64 (log.f64 n)) i) (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 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (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) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (-.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))))))) n (/.f64 (log.f64 i) (*.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 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 (+.f64 (/.f64 (neg.f64 (log.f64 n)) i) (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))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 (+.f64 (/.f64 (neg.f64 (log.f64 n)) i) (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))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 (+.f64 (/.f64 (neg.f64 (log.f64 n)) i) (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 (/.f64 (neg.f64 (log.f64 n)) (*.f64 i i)) (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) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (-.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))))))) n (/.f64 (log.f64 i) (*.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))) 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 (/.f64 (neg.f64 (log.f64 n)) i) (fma.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) 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 (/.f64 (neg.f64 (log.f64 n)) i) (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) (+.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 i i) i))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 i 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)))) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) n (/.f64 #s(literal 1 binary64) i))) n)) n))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (*.f64 #s(literal 100 binary64) n) (log.f64 (/.f64 i n))))
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#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) n) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.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 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i))) (/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (*.f64 n i))) n)) (*.f64 (*.f64 (exp.f64 i) i) #s(literal 1/2 binary64))) n)) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n i))) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64))) n)) (/.f64 (expm1.f64 i) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (*.f64 n i))) (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i))) n)) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64))) n)) (/.f64 (expm1.f64 i) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 i) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) 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 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i))) n)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) n)) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 50 binary64) (*.f64 i i)) (exp.f64 i))) n)) (*.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 (*.f64 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal -100 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) #s(literal 100 binary64))) n)) (*.f64 #s(literal -50 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n)) (*.f64 #s(literal -100 binary64) (expm1.f64 i))))
#s(approx (* (* (log (/ i n)) (* n n)) 100) (*.f64 (*.f64 (log.f64 (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) n))) (*.f64 n n)) #s(literal 100 binary64)))
#s(approx (* (log (/ i n)) (* n n)) (*.f64 (log.f64 (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) n))) (*.f64 n n)))
#s(approx (log (/ i n)) (log.f64 (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) n))))

eval26.0ms (0.4%)

Memory
23.2MiB live, 23.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 6 215 to 1 768 computations (71.6% saved)

prune20.0ms (0.3%)

Memory
-31.3MiB live, 15.7MiB allocated; 2ms collecting garbage
Pruning

29 alts after pruning (23 fresh and 6 done)

PrunedKeptTotal
New28414298
Fresh7916
Picked055
Done112
Total29229321
Accuracy
99.7%
Counts
321 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.4%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n))) (/.f64 i n))
60.9%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
60.8%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (*.f64 i (/.f64 #s(literal 1 binary64) n)))
41.2%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
76.0%
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
76.0%
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
28.7%
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
13.5%
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
76.0%
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
58.2%
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))) n) #s(literal 100 binary64))
13.5%
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i))) n) #s(literal 100 binary64))
9.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (/.f64 i n)) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
12.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
15.2%
(*.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)))
58.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
58.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
52.4%
(*.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)))
52.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))))
52.2%
(*.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))))
39.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
58.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
51.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
57.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.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)))
22.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i))
18.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n))) i))
22.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i))
10.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) (*.f64 n n)) #s(literal 100 binary64))) i))
11.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))) i))
22.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
Compiler

Compiled 924 to 886 computations (4.1% saved)

series105.0ms (1.7%)

Memory
42.1MiB live, 89.5MiB allocated; 1ms collecting garbage
Counts
36 → 151
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) 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
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i)))
(*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))
#s(approx (- (exp i) 1) i)
(/.f64 n i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))
#s(literal 1 binary64)
(/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n))
(*.f64 #s(approx (- (exp i) 1) i) n)
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))) n)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) (*.f64 n n)) #s(literal 100 binary64))) i))
(/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) (*.f64 n n)) #s(literal 100 binary64))) i)
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) (*.f64 n n)) #s(literal 100 binary64)))
(*.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) (*.f64 n n)) #s(literal 100 binary64))
(*.f64 (log.f64 (/.f64 i (fabs.f64 n))) (*.f64 n n))
(log.f64 (/.f64 i (fabs.f64 n)))
(/.f64 i (fabs.f64 n))
(fabs.f64 n)
(*.f64 n n)
Outputs
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* 100 n)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (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 (/ (- (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 (/ n i) #s(hole binary64 (/ n i)))
#s(approx (/ i (* (- (exp i) 1) n)) #s(hole binary64 (/ 1 n)))
#s(approx (/ i (* (- (exp i) 1) n)) #s(hole binary64 (+ (* -1/2 (/ i n)) (/ 1 n))))
#s(approx (/ i (* (- (exp i) 1) n)) #s(hole binary64 (+ (* i (- (* 1/12 (/ i n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
#s(approx (/ i (* (- (exp i) 1) n)) #s(hole binary64 (+ (* i (- (* i (+ (* -1/720 (/ (pow i 2) n)) (* 1/12 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 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 (* (- 1/2 (/ 1/2 n)) i) #s(hole binary64 (* i (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (- (log i) (log n)))) 1)) i))))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) #s(hole binary64 (* 100 (* n (- (exp (* n (- (log i) (log n)))) 1)))))
#s(approx (* (* (log (/ i (fabs n))) (* n n)) 100) #s(hole binary64 (* 100 (* (pow n 2) (+ (log i) (log (/ 1 (fabs n))))))))
#s(approx (* (log (/ i (fabs n))) (* n n)) #s(hole binary64 (* (pow n 2) (+ (log i) (log (/ 1 (fabs n)))))))
#s(approx (log (/ i (fabs n))) #s(hole binary64 (+ (log i) (log (/ 1 (fabs n))))))
#s(approx (/ i (fabs n)) #s(hole binary64 (/ i (fabs n))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 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)))
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#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 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 (* (- 1/2 (/ 1/2 n)) i)) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))))
#s(approx (* (- 1/2 (/ 1/2 n)) i) #s(hole binary64 (* 1/2 i)))
#s(approx (* (- 1/2 (/ 1/2 n)) i) #s(hole binary64 (+ (* -1/2 (/ i n)) (* 1/2 i))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 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)))))))
Calls

6 calls:

TimeVariablePointExpression
27.0ms
i
@-inf
((* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i (* 100 n) 100 n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (exp i) 1) (/ n i)) (- (exp i) 1) (/ n i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ 1 (/ i (* (- (exp i) 1) n))) 1 (/ i (* (- (exp i) 1) n)) (* (- (exp i) 1) 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) (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (* (- 1/2 (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (* (* (log (/ i (fabs n))) (* n n)) 100) (* (log (/ i (fabs n))) (* n n)) (log (/ i (fabs n))) (/ i (fabs n)) (fabs n) (* n n))
25.0ms
i
@inf
((* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i (* 100 n) 100 n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (exp i) 1) (/ n i)) (- (exp i) 1) (/ n i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ 1 (/ i (* (- (exp i) 1) n))) 1 (/ i (* (- (exp i) 1) n)) (* (- (exp i) 1) 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) (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (* (- 1/2 (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (* (* (log (/ i (fabs n))) (* n n)) 100) (* (log (/ i (fabs n))) (* n n)) (log (/ i (fabs n))) (/ i (fabs n)) (fabs n) (* n n))
20.0ms
i
@0
((* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i (* 100 n) 100 n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (exp i) 1) (/ n i)) (- (exp i) 1) (/ n i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ 1 (/ i (* (- (exp i) 1) n))) 1 (/ i (* (- (exp i) 1) n)) (* (- (exp i) 1) 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) (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (* (- 1/2 (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (* (* (log (/ i (fabs n))) (* n n)) 100) (* (log (/ i (fabs n))) (* n n)) (log (/ i (fabs n))) (/ i (fabs n)) (fabs n) (* n n))
10.0ms
n
@-inf
((* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i (* 100 n) 100 n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (exp i) 1) (/ n i)) (- (exp i) 1) (/ n i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ 1 (/ i (* (- (exp i) 1) n))) 1 (/ i (* (- (exp i) 1) n)) (* (- (exp i) 1) 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) (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (* (- 1/2 (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (* (* (log (/ i (fabs n))) (* n n)) 100) (* (log (/ i (fabs n))) (* n n)) (log (/ i (fabs n))) (/ i (fabs n)) (fabs n) (* n n))
10.0ms
n
@inf
((* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) i (* 100 n) 100 n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (exp i) 1) (/ n i)) (- (exp i) 1) (/ n i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ 1 (/ i (* (- (exp i) 1) n))) 1 (/ i (* (- (exp i) 1) n)) (* (- (exp i) 1) 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) (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (* (- 1/2 (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (* (* (log (/ i (fabs n))) (* n n)) 100) (* (log (/ i (fabs n))) (* n n)) (log (/ i (fabs n))) (/ i (fabs n)) (fabs n) (* n n))

rewrite248.0ms (3.9%)

Memory
3.5MiB live, 53.6MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09307456
09636551
172636551
084576176
1227156176
Stop Event
iter-limit
node-limit
iter-limit
Counts
187 → 337
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) 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
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i)))
(*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))
#s(approx (- (exp i) 1) i)
(/.f64 n i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))
#s(literal 1 binary64)
(/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n))
(*.f64 #s(approx (- (exp i) 1) i) n)
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))) n)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) (*.f64 n n)) #s(literal 100 binary64))) i))
(/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) (*.f64 n n)) #s(literal 100 binary64))) i)
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) (*.f64 n n)) #s(literal 100 binary64)))
(*.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) (*.f64 n n)) #s(literal 100 binary64))
(*.f64 (log.f64 (/.f64 i (fabs.f64 n))) (*.f64 n n))
(log.f64 (/.f64 i (fabs.f64 n)))
(/.f64 i (fabs.f64 n))
(fabs.f64 n)
(*.f64 n n)
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* 100 n)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (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 (/ (- (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 (/ n i) #s(hole binary64 (/ n i)))
#s(approx (/ i (* (- (exp i) 1) n)) #s(hole binary64 (/ 1 n)))
#s(approx (/ i (* (- (exp i) 1) n)) #s(hole binary64 (+ (* -1/2 (/ i n)) (/ 1 n))))
#s(approx (/ i (* (- (exp i) 1) n)) #s(hole binary64 (+ (* i (- (* 1/12 (/ i n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
#s(approx (/ i (* (- (exp i) 1) n)) #s(hole binary64 (+ (* i (- (* i (+ (* -1/720 (/ (pow i 2) n)) (* 1/12 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 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 (* (- 1/2 (/ 1/2 n)) i) #s(hole binary64 (* i (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (- (log i) (log n)))) 1)) i))))
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#s(approx (* (* (log (/ i (fabs n))) (* n n)) 100) #s(hole binary64 (* 100 (* (pow n 2) (log (/ i (fabs n)))))))
#s(approx (* (log (/ i (fabs n))) (* n n)) #s(hole binary64 (* (pow n 2) (log (/ i (fabs n))))))
#s(approx (log (/ i (fabs n))) #s(hole binary64 (log (/ i (fabs n)))))
#s(approx (fabs n) #s(hole binary64 (fabs n)))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 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 (* (- 1/2 (/ 1/2 n)) i)) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))))
#s(approx (* (- 1/2 (/ 1/2 n)) i) #s(hole binary64 (* 1/2 i)))
#s(approx (* (- 1/2 (/ 1/2 n)) i) #s(hole binary64 (+ (* -1/2 (/ i n)) (* 1/2 i))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (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))))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
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#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)))))))
Outputs
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(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i))
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#s(literal 100 binary64)
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#s(approx (* (log (/ i (fabs n))) (* n n)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) n) n))
#s(approx (log (/ i (fabs n))) (log.f64 (/.f64 i n)))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (/.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) (neg.f64 (/.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 n n))) i) (neg.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) (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 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i) (*.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)) (neg.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) (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 n n) (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) 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)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n)))))) i))) i)) (neg.f64 (expm1.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 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 (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 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i) (*.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 (pow.f64 n #s(literal 4 binary64)) #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 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 n #s(literal 5 binary64)) #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) 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 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 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i)) (*.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) (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 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)) (neg.f64 (*.f64 (*.f64 n (exp.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 i)))) (neg.f64 (log.f64 (neg.f64 n)))) n))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #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 (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (neg.f64 (*.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) i)) i)))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (*.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) (log.f64 n)) n)) i)) #s(literal 100 binary64)))
#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) (log.f64 n)) n)) n) #s(literal 100 binary64)))
#s(approx (* (* (log (/ i (fabs n))) (* n n)) 100) (*.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 (fabs.f64 n)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) (*.f64 n n)) #s(literal 100 binary64)))
#s(approx (* (log (/ i (fabs n))) (* n n)) (*.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 (fabs.f64 n)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))) (*.f64 n n)))
#s(approx (log (/ i (fabs n))) (+.f64 (neg.f64 (log.f64 (neg.f64 (fabs.f64 n)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 i))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (*.f64 (*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)) #s(literal 100 binary64)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 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 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 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 (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 (neg.f64 (log.f64 n)) (*.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 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 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) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (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)))))) n (-.f64 (+.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 (neg.f64 (log.f64 n)) (*.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) (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i)))
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#s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n))
#s(approx (- 1/2 (/ 1/2 n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)) n))
#s(approx (/ 1/2 n) (/.f64 #s(literal 1/2 binary64) n))
#s(approx (/ (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) i) (*.f64 (*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)) #s(literal 100 binary64)))
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#s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 50 binary64) n) (*.f64 (log.f64 (/.f64 i n)) (log.f64 (/.f64 i n))) (*.f64 (log.f64 (/.f64 i n)) #s(literal 100 binary64))) (*.f64 n n)))
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#s(approx (log (/ i (fabs n))) (log.f64 (/.f64 i n)))
#s(approx (fabs n) (fabs.f64 n))
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#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
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#s(approx (* (- 1/2 (/ 1/2 n)) i) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)))
#s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64))
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#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 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) (pow.f64 i #s(literal 4 binary64)) (*.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 (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (neg.f64 (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (*.f64 n i)) #s(literal 100 binary64))) n))) n))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n i)))) n)) (/.f64 (expm1.f64 i) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i) (neg.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (*.f64 n i)))) n))) n)) (/.f64 (expm1.f64 i) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.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) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n)) (exp.f64 i)) #s(literal 1 binary64)))
#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) (pow.f64 i #s(literal 4 binary64)) (*.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 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i)))) n))) n)) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))

eval31.0ms (0.5%)

Memory
-20.6MiB live, 25.1MiB allocated; 2ms collecting garbage
Compiler

Compiled 5 189 to 1 923 computations (62.9% saved)

prune25.0ms (0.4%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Pruning

33 alts after pruning (25 fresh and 8 done)

PrunedKeptTotal
New28412296
Fresh51318
Picked325
Done066
Total29233325
Accuracy
99.7%
Counts
325 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.9%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 i n))
41.2%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
76.0%
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
24.7%
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i) (*.f64 #s(literal 100 binary64) n))
28.7%
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
13.5%
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
76.0%
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
50.9%
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i))) n) #s(literal 100 binary64))
13.5%
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i))) n) #s(literal 100 binary64))
58.3%
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))) n) #s(literal 100 binary64))
2.9%
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n) #s(literal 100 binary64))
52.2%
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (- (exp i) 1) i) n))) #s(literal 100 binary64))
58.2%
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n))
13.5%
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 #s(literal 100 binary64) n))
9.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (/.f64 i n)) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
12.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
15.2%
(*.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)))
58.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
58.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
52.4%
(*.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)))
52.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))))
51.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp i) 1) i) n))))))
59.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (/.f64 #s(literal 1 binary64) n))))))
51.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (/.f64 #s(literal 1 binary64) n)))))
39.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
39.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (*.f64 n (/.f64 #s(literal 1 binary64) i)))))
51.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
70.5%
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
57.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.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)))
22.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i))
18.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n))) i))
11.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))) i))
22.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
Compiler

Compiled 1 238 to 893 computations (27.9% saved)

regimes54.0ms (0.9%)

Memory
-18.7MiB live, 28.2MiB allocated; 2ms collecting garbage
Counts
60 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (/.f64 #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 #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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (*.f64 n (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) i))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (- (exp i) 1) i) n))) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp i) 1) i) n))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #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(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (*.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 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 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))) i))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i))) n) #s(literal 100 binary64))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n))) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) (*.f64 n n)) #s(literal 100 binary64))) i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (/.f64 i n)) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 (fabs.f64 i) n)) n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(/.f64 (*.f64 #s(literal 100 binary64) (-.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)))
#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 (log.f64 i))) n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (fma.f64 (log.f64 i) n (*.f64 (neg.f64 (log.f64 n)) n)))) i))
#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 (*.f64 n (/.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) i)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n))) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.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)))
#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 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) n (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal -1 binary64) n))) n)) (*.f64 (*.f64 n n) n)) i))) i)))
Outputs
(/.f64 (*.f64 #s(literal 100 binary64) (-.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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (/.f64 #s(literal 1 binary64) n))))))
Calls

4 calls:

15.0ms
n
14.0ms
i
10.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
10.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
87.4%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
87.4%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)))
82.2%3i
81.2%3n
Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes21.0ms (0.3%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Counts
51 → 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)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (/.f64 #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 #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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (*.f64 n (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) i))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (- (exp i) 1) i) n))) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp i) 1) i) n))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #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(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (*.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 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 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))) i))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i))) n) #s(literal 100 binary64))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n))) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) (*.f64 n n)) #s(literal 100 binary64))) i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (/.f64 i n)) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 (fabs.f64 i) n)) n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n))
Outputs
(/.f64 (*.f64 #s(literal 100 binary64) (-.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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (/.f64 #s(literal 1 binary64) n))))))
Calls

2 calls:

9.0ms
(*.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)))
9.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
87.4%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
87.4%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 22 to 18 computations (18.2% saved)

regimes21.0ms (0.3%)

Memory
-33.9MiB live, 13.1MiB allocated; 1ms collecting garbage
Counts
50 → 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)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (/.f64 #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 #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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (*.f64 n (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) i))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (- (exp i) 1) i) n))) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp i) 1) i) n))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #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(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (*.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 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 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))) i))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i))) n) #s(literal 100 binary64))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n))) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) (*.f64 n n)) #s(literal 100 binary64))) i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (/.f64 i n)) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 (fabs.f64 i) n)) n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
Outputs
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (/.f64 #s(literal 1 binary64) n))))))
Calls

2 calls:

10.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
9.0ms
(*.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
87.4%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
87.4%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 22 to 18 computations (18.2% saved)

regimes19.0ms (0.3%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Counts
49 → 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)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (/.f64 #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 #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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (*.f64 n (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) i))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (- (exp i) 1) i) n))) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp i) 1) i) n))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #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(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (*.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 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 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))) i))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i))) n) #s(literal 100 binary64))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n))) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) (*.f64 n n)) #s(literal 100 binary64))) i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (/.f64 i n)) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 (fabs.f64 i) n)) n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) (/.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) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #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 #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) n))) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (/.f64 #s(literal 1 binary64) n))))))
Calls

2 calls:

9.0ms
(*.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)))
9.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
85.6%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
85.6%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes19.0ms (0.3%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Counts
46 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (/.f64 #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 #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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (*.f64 n (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) i))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (- (exp i) 1) i) n))) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp i) 1) i) n))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #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(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (*.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 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 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))) i))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i))) n) #s(literal 100 binary64))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n))) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (neg (log n)) (neg (log i))) n)) 1)) (*.f64 (*.f64 (log.f64 (/.f64 i (fabs.f64 n))) (*.f64 n n)) #s(literal 100 binary64))) i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (log.f64 (/.f64 i n)) n #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i) (*.f64 #s(literal 100 binary64) n))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (/.f64 #s(literal 1 binary64) n))))))
Calls

2 calls:

8.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
8.0ms
(*.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
82.9%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
82.9%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes26.0ms (0.4%)

Memory
15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Counts
29 → 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)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (/.f64 #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 #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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (*.f64 n (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) i))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (- (exp i) 1) i) n))) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp i) 1) i) n))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #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(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) n) i)))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))) n) #s(literal 100 binary64))
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #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 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
Calls

4 calls:

7.0ms
n
7.0ms
i
5.0ms
(*.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)))
5.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
81.1%3n
76.0%1i
78.8%2(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
78.8%2(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes9.0ms (0.1%)

Memory
-47.1MiB live, 4.5MiB allocated; 2ms collecting garbage
Counts
22 → 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)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (/.f64 #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 #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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (*.f64 n (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) i))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (- (exp i) 1) i) n))) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp i) 1) i) n))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (*.f64 #s(literal 100 binary64) n))
Outputs
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n) #s(literal 100 binary64))
Calls

1 calls:

8.0ms
n
Results
AccuracySegmentsBranch
81.0%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Counts
20 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (/.f64 #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 #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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (*.f64 n (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) i))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (- (exp i) 1) i) n))) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp i) 1) i) n))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
80.7%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Counts
19 → 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)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (/.f64 #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 #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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (*.f64 n (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) i))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (- (exp i) 1) i) n))) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp i) 1) i) n))))))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
Outputs
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
#s(approx (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (* 100 n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
80.6%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.3%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Counts
18 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (/.f64 #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 #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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (*.f64 n (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) i))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (- (exp i) 1) i) n))) #s(literal 100 binary64))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(approx (+ 1 (* (- 1/2 (/ 1/2 n)) i)) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (exp i) 1) i) n)))))
(*.f64 (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp i) 1) 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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
Calls

4 calls:

5.0ms
n
5.0ms
i
4.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
4.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
61.2%2i
58.3%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
58.3%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
64.1%3n
Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes3.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (/.f64 #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 #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

1 calls:

2.0ms
n
Results
AccuracySegmentsBranch
63.2%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB 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)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) n)) (/.f64 #s(literal 1 binary64) 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
Calls

2 calls:

2.0ms
n
2.0ms
i
Results
AccuracySegmentsBranch
58.6%2i
62.1%3n
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (- (exp i) 1) i) (/.f64 n i))))
Calls

4 calls:

1.0ms
n
1.0ms
i
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
55.3%2i
51.7%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
51.7%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
56.0%3n
Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
i
1.0ms
n
Results
AccuracySegmentsBranch
51.7%1n
51.7%1i
Compiler

Compiled 2 to 4 computations (-100% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
2.511637698929137e-168
0.0ms
-4.0968588271390247e-280
0.0
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
2.511637698929137e-168
0.0ms
-4.0968588271390247e-280
0.0
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
2.511637698929137e-168
0.0ms
-4.0968588271390247e-280
0.0
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
2.511637698929137e-168
0.0ms
-inf
-2.5880909172875965e-5
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-inf
-2.5880909172875965e-5
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch109.0ms (1.7%)

Memory
-29.6MiB live, 17.6MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
62.0ms
3.0667525967367778e-115
9.162224662773886e-99
41.0ms
-1.7586989806486033e-184
-2.7735156808537203e-189
Samples
66.0ms145×2valid
14.0ms94×1valid
7.0ms141×0invalid
2.0ms49×0valid
Compiler

Compiled 504 to 519 computations (-3% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-pow: 53.0ms (68.9% of total)
adjust: 8.0ms (10.4% of total)
ival-div!: 8.0ms (10.4% of total)
ival-mult!: 3.0ms (3.9% of total)
ival-add!: 2.0ms (2.6% of total)
ival-sub!: 2.0ms (2.6% of total)

bsearch2.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.0667525967367778e-115
9.162224662773886e-99
1.0ms
-1.7586989806486033e-184
-2.7735156808537203e-189
Compiler

Compiled 504 to 519 computations (-3% saved)

bsearch92.0ms (1.5%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
45.0ms
5.083783923185793e-30
4.5477700082192965e-24
41.0ms
-1.8063472448939895e-19
-5.228448650766833e-24
Samples
37.0ms76×2valid
33.0ms191×1valid
4.0ms85×0invalid
0.0ms0valid
Compiler

Compiled 477 to 491 computations (-2.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-pow: 44.0ms (68% of total)
adjust: 8.0ms (12.4% of total)
ival-div!: 7.0ms (10.8% of total)
ival-mult!: 3.0ms (4.6% of total)
ival-add!: 2.0ms (3.1% of total)
ival-sub!: 2.0ms (3.1% of total)

bsearch41.0ms (0.7%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
66557167830.78019
559067884341.4797
12.0ms
-1.8063472448939895e-19
-5.228448650766833e-24
Samples
18.0ms43×2valid
10.0ms57×1valid
2.0ms28×0valid
2.0ms42×0invalid
Compiler

Compiled 424 to 449 computations (-5.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-pow: 19.0ms (68.3% of total)
adjust: 3.0ms (10.8% of total)
ival-div!: 3.0ms (10.8% of total)
ival-add!: 1.0ms (3.6% of total)
ival-sub!: 1.0ms (3.6% of total)
ival-mult!: 1.0ms (3.6% of total)

bsearch84.0ms (1.3%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
49.0ms
1.731467049059583e-38
5.083783923185793e-30
31.0ms
-1.8063472448939895e-19
-5.228448650766833e-24
Samples
39.0ms73×2valid
26.0ms161×1valid
3.0ms73×0invalid
0.0ms0valid
Compiler

Compiled 538 to 552 computations (-2.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-pow: 42.0ms (69.7% of total)
adjust: 7.0ms (11.6% of total)
ival-div!: 6.0ms (10% of total)
ival-sub!: 2.0ms (3.3% of total)
ival-mult!: 2.0ms (3.3% of total)
ival-add!: 1.0ms (1.7% of total)

bsearch2.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
1.0ms
5.083783923185793e-30
4.5477700082192965e-24
1.0ms
-1.8063472448939895e-19
-5.228448650766833e-24
Compiler

Compiled 453 to 465 computations (-2.6% saved)

bsearch66.0ms (1%)

Memory
-34.7MiB live, 11.9MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
39.0ms
559067884341.4797
1177232926028462.8
23.0ms
-7.6467902565447315e+28
-1.5490162116124137e+25
Samples
27.0ms74×2valid
17.0ms84×1valid
6.0ms98×0valid
1.0ms28×0invalid
0.0ms1exit
Compiler

Compiled 562 to 559 computations (0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-pow: 27.0ms (60.3% of total)
adjust: 8.0ms (17.9% of total)
ival-div!: 5.0ms (11.2% of total)
ival-mult!: 2.0ms (4.5% of total)
ival-add!: 1.0ms (2.2% of total)
ival-sub!: 1.0ms (2.2% of total)

bsearch28.0ms (0.4%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
26.0ms
1.3230502905280775e-24
1.783665713862807e-21
Samples
21.0ms96×1valid
1.0ms21×0invalid
0.0ms1exit
Compiler

Compiled 192 to 189 computations (1.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-pow: 13.0ms (67.2% of total)
adjust: 2.0ms (10.3% of total)
ival-div!: 2.0ms (10.3% of total)
ival-sub!: 1.0ms (5.2% of total)
ival-mult!: 1.0ms (5.2% of total)
ival-add!: 0.0ms (0% of total)

derivations350.0ms (5.5%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 248 to 156 computations (37.1% saved)

preprocess111.0ms (1.8%)

Memory
4.0MiB live, 147.1MiB allocated; 10ms collecting garbage
Compiler

Compiled 289 to 184 computations (36.3% saved)

end0.0ms (0%)

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

Profiling

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