Compound Interest

Time bar (total: 10.8s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze279.0ms (2.6%)

Memory
0.7MiB live, 428.5MiB allocated; 56ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
39.1%39%60.9%0.1%0%0%0%7
44.5%44.5%55.4%0.1%0%0%0%8
55.3%55%44.5%0.1%0%0.4%0%9
59.3%58.7%40.4%0.1%0%0.8%0%10
65.5%64.5%34%0.1%0%1.5%0%11
67.8%66.6%31.6%0.1%0%1.8%0%12
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample5.5s (51%)

Memory
-57.8MiB live, 5 254.2MiB allocated; 2.0s collecting garbage
Samples
2.6s4 570×1valid
1.5s1 683×2valid
161.0ms1 939×0valid
151.0ms2 021×0invalid
126.0ms64×3valid
Precisions
Click to see histograms. Total time spent on operations: 4.1s
ival-pow: 2.3s (55.8% of total)
ival-mult: 871.0ms (21.1% of total)
adjust: 374.0ms (9.1% of total)
ival-div: 317.0ms (7.7% of total)
ival-sub: 125.0ms (3% of total)
ival-add: 114.0ms (2.8% of total)
exact: 11.0ms (0.3% of total)
ival-true: 8.0ms (0.2% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

explain476.0ms (4.4%)

Memory
-35.8MiB live, 321.2MiB allocated; 145ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1801(-0.007771371645784426 -1.9435841963089485e+99)0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
6566(8.686125896523275e-209 5.330181079144954e+137)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
350-5(-2.349421708765566e-116 -6.013222851612031e+206)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
10-1(2.8744398712071123e-227 8.391518741265255e-276)(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
00-0-n
00-0-(+.f64 #s(literal 1 binary64) (/.f64 i n))
00-0-#s(literal 1 binary64)
00-0-i
00-0-(/.f64 i n)
00-0-#s(literal 100 binary64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))cancellation1810
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1120
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u300
(/.f64 i n)underflow30
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue190
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow38
(/.f64 i n)overflow19
(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow19
Confusion
Predicted +Predicted -
+1890
-3334
Precision
0.8513513513513513
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18900
-33034
Precision?
0.8513513513513513
Recall?
1.0
Freqs
test
numberfreq
034
1132
260
330
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
146.0ms282×1valid
99.0ms70×0valid
88.0ms158×2valid
2.0ms3valid
Compiler

Compiled 131 to 34 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 202.0ms
ival-pow: 118.0ms (58.4% of total)
ival-add: 31.0ms (15.4% of total)
adjust: 21.0ms (10.4% of total)
ival-div: 19.0ms (9.4% of total)
ival-sub: 6.0ms (3% of total)
ival-mult: 6.0ms (3% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess177.0ms (1.6%)

Memory
12.4MiB live, 107.7MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.8%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify131.0ms (1.2%)

Memory
-22.3MiB live, 65.1MiB allocated; 9ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
cost-diff0
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
cost-diff0
(*.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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01056
01656
12756
24656
39356
421156
5112656
0848156
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)
i
n
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) n) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)))
#s(literal 100 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) n)
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(-.f64 (/.f64 i n) #s(literal -1 binary64))
#s(literal 1 binary64)
(/.f64 i n)
i
n

localize131.0ms (1.2%)

Memory
7.3MiB live, 64.9MiB allocated; 4ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.08746998993272953
(*.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)))
accuracy7.714589431357252
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
accuracy15.01845761865219
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy41.64839913961647
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
Samples
74.0ms141×1valid
43.0ms79×2valid
3.0ms35×0valid
1.0ms3valid
Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-pow: 52.0ms (63% of total)
ival-div: 12.0ms (14.5% of total)
adjust: 10.0ms (12.1% of total)
ival-sub: 3.0ms (3.6% of total)
ival-add: 3.0ms (3.6% of total)
ival-mult: 3.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
-20.1MiB live, 25.3MiB allocated; 5ms collecting garbage
Counts
4 → 89
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)))
(/.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)
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 (* 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 (* 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 (* 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
n
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
5.0ms
n
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
4.0ms
i
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
4.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
3.0ms
n
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))

simplify152.0ms (1.4%)

Memory
20.6MiB live, 109.4MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06104857
119514464
083834197
Stop Event
iter limit
node limit
Counts
89 → 89
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 1))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))))
#s(approx (* 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)))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
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#s(approx (- (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)))))))))
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#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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
Outputs
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 i))) (neg.f64 n))) (neg.f64 n)) (/.f64 (expm1.f64 i) 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) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n)) (expm1.f64 i)))
#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) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n))) (neg.f64 n)) (expm1.f64 i)))
#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) (-.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 n))) n)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) (-.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n))) n)))

rewrite57.0ms (0.5%)

Memory
-24.1MiB live, 32.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
01644
16444
045438
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
4 → 59
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)))
(/.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)
Outputs
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (neg.f64 i)) (neg.f64 n))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64)) (/.f64 (neg.f64 i) n))
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 (neg.f64 i) n))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))) (/.f64 (neg.f64 i) n))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (neg.f64 n))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)
(*.f64 n (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i)
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n) (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n)) (*.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (pow.f64 (/.f64 i n) #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n) (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n) (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 i n))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) (/.f64 i n)) (/.f64 i n)) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)) (/.f64 i n)))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)) (/.f64 i n)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 (neg.f64 i) n))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)))
(neg.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (neg.f64 i) n)))
(-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)))
(fma.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(-.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))))
(-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64))
(+.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))
(*.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 i n))) n)
(pow.f64 (*.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (-.f64 (/.f64 i n) #s(literal -1 binary64))) (/.f64 n #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (+.f64 (/.f64 n #s(literal 2 binary64)) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))

eval18.0ms (0.2%)

Memory
22.6MiB live, 22.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 5 858 to 835 computations (85.7% saved)

prune18.0ms (0.2%)

Memory
-23.1MiB live, 23.7MiB allocated; 3ms collecting garbage
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New12523148
Fresh000
Picked011
Done000
Total12524149
Accuracy
100.0%
Counts
149 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.7%
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
79.3%
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
79.3%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
28.8%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
15.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n) (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n)) (*.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (pow.f64 (/.f64 i n) #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n (pow.f64 (/.f64 i n) #s(literal -1 binary64)))))
12.8%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
12.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
35.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (exp.f64 i)) #s(literal 1 binary64)) (/.f64 i n)))
18.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
40.7%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
42.7%
(*.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)))
11.1%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
63.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
43.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
79.2%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
52.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
53.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
69.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
11.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
48.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
52.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
75.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
11.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
15.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) i)))
Compiler

Compiled 1 207 to 760 computations (37% saved)

simplify119.0ms (1.1%)

Memory
21.2MiB live, 64.6MiB allocated; 5ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 n n)
cost-diff0
(*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
cost-diff0
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
cost-diff0
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
cost-diff0
(/.f64 (expm1.f64 i) i)
cost-diff0
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
cost-diff0
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))
cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
cost-diff0
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
cost-diff0
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
cost-diff0
(*.f64 (log1p.f64 (/.f64 i n)) n)
cost-diff0
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff0
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
cost-diff0
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040338
071328
1132328
2263328
3609328
42260328
08383328
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
n
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))
(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)
n
i
#s(literal 1 binary64)
(/.f64 i n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
(*.f64 n n)
n
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
i
(log.f64 n)
Outputs
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n) #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
n
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(literal 100 binary64)
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))
(*.f64 (/.f64 n i) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))
(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)
n
i
#s(literal 1 binary64)
(/.f64 i n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))) #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n))))
(*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
(*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))
(*.f64 n n)
n
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
i
(log.f64 n)

localize163.0ms (1.5%)

Memory
-12.4MiB live, 86.8MiB allocated; 36ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0859375
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
accuracy0.1552037790064976
(-.f64 (log.f64 i) (log.f64 n))
accuracy2.3122881889520954
(*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
accuracy12.366695054096752
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
accuracy0.00390625
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
accuracy0.0078125
(/.f64 (expm1.f64 i) i)
accuracy0.0078125
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
accuracy7.070973237883653
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
accuracy0.021063739932729534
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
accuracy2.151291064836908
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))
accuracy7.88468484732184
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
accuracy13.473390334115342
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy0.021063739932729534
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
accuracy11.551687098910882
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
accuracy0.0390625
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
accuracy1.93706649482742
(log1p.f64 (/.f64 i n))
accuracy2.142174648920355
(*.f64 (log1p.f64 (/.f64 i n)) n)
accuracy2.1494074066587516
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
Samples
42.0ms178×0invalid
29.0ms45×1valid
28.0ms22×2valid
3.0ms11×0valid
Compiler

Compiled 282 to 34 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
adjust: 19.0ms (23.9% of total)
ival-mult: 15.0ms (18.9% of total)
ival-pow: 14.0ms (17.6% of total)
ival-div: 12.0ms (15.1% of total)
ival-add: 4.0ms (5% of total)
ival-sub: 4.0ms (5% of total)
ival-log: 4.0ms (5% of total)
ival-expm1: 3.0ms (3.8% of total)
ival-log1p: 3.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series186.0ms (1.7%)

Memory
28.2MiB live, 216.7MiB allocated; 30ms collecting garbage
Counts
21 → 230
Calls
Call 1
Inputs
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/.f64 (expm1.f64 i) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
(*.f64 n n)
(log1p.f64 (/.f64 i n))
(-.f64 (log.f64 i) (log.f64 n))
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
Outputs
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 n)))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* 100 i)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (* -1 (log (/ 1 n))))) i)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (* -1 (log (/ 1 n))))))
#s(approx (/ (- (log i) (log n)) i) #s(hole binary64 (/ (- (log i) (* -1 (log (/ 1 n)))) i)))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (/ (- (log i) (log n)) i) #s(hole binary64 (/ (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) i)))
Calls

6 calls:

TimeVariablePointExpression
45.0ms
i
@0
((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (- (log i) (log n)) i)) (* n n) (log (+ 1 (/ i n))) (- (log i) (log n)) (/ (- (log i) (log n)) i))
44.0ms
i
@-inf
((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (- (log i) (log n)) i)) (* n n) (log (+ 1 (/ i n))) (- (log i) (log n)) (/ (- (log i) (log n)) i))
31.0ms
i
@inf
((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (- (log i) (log n)) i)) (* n n) (log (+ 1 (/ i n))) (- (log i) (log n)) (/ (- (log i) (log n)) i))
24.0ms
n
@inf
((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (- (log i) (log n)) i)) (* n n) (log (+ 1 (/ i n))) (- (log i) (log n)) (/ (- (log i) (log n)) i))
20.0ms
n
@0
((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (- (log i) (log n)) i)) (* n n) (log (+ 1 (/ i n))) (- (log i) (log n)) (/ (- (log i) (log n)) i))

simplify168.0ms (1.5%)

Memory
-11.1MiB live, 124.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108610400
1334010300
086749338
Stop Event
iter limit
node limit
Counts
230 → 230
Calls
Call 1
Inputs
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 n)))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* 100 i)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 1))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (* 100 n)))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 50 (* i n)) (* 100 n))))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 100))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* 50 i))))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* i (+ 50 (* 50/3 i))))))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))))
#s(approx (/ (- (exp i) 1) i) #s(hole binary64 1))
#s(approx (/ (- (exp i) 1) i) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (/ (- (exp i) 1) i) #s(hole binary64 (+ 1 (* i (+ 1/2 (* 1/6 i))))))
#s(approx (/ (- (exp i) 1) i) #s(hole binary64 (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (log n))) i)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ i n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (log n))))
#s(approx (/ (- (log i) (log n)) i) #s(hole binary64 (/ (- (log i) (log n)) i)))
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#s(approx (/ (- (log i) (log n)) i) #s(hole binary64 (/ (- (+ (log -1) (* -1 (log (/ -1 i)))) (log n)) i)))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
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#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (+ (* 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)))))))))))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (* -1 (log n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (/ n i)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
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#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
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#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
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#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (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)))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (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)))
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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) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (* -1 (log (/ 1 n))))) i)))
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#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (* -1 (log (/ 1 n))))))
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#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
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#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (/ (- (log i) (log n)) i) #s(hole binary64 (/ (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) i)))
Outputs
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 n)))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (*.f64 #s(literal 100 binary64) n))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* 100 i)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 #s(literal 100 binary64) i))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64))) i #s(literal 100 binary64)) i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) i)
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) #s(literal 1 binary64)) i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (* 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 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #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 n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (- (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 (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 1))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 i)))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) 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) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) #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 (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (* 100 n)))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) (*.f64 #s(literal 100 binary64) n))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 50 (* i n)) (* 100 n))))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 #s(literal 50/3 binary64) (*.f64 n i) (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 100))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(literal 100 binary64))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* 50 i))))
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* i (+ 50 (* 50/3 i))))))
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))))
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)))
#s(approx (/ (- (exp i) 1) i) #s(hole binary64 1))
#s(approx (/ (- (exp i) 1) i) #s(literal 1 binary64))
#s(approx (/ (- (exp i) 1) i) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))
#s(approx (/ (- (exp i) 1) i) #s(hole binary64 (+ 1 (* i (+ 1/2 (* 1/6 i))))))
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
#s(approx (/ (- (exp i) 1) i) #s(hole binary64 (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))))
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (log n))) i)))
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#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) (neg.f64 n))) (neg.f64 n)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (fma.f64 (expm1.f64 i) #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 50 binary64) (*.f64 i i)) (exp.f64 i))) (neg.f64 n))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (fma.f64 (expm1.f64 i) #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 50 binary64) (*.f64 i i)) (exp.f64 i) (/.f64 (fma.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))))) (neg.f64 n))) (neg.f64 n))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n))) (neg.f64 n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal -1/3 binary64) (*.f64 (*.f64 i i) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal -1/4 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (neg.f64 n))) n) #s(literal -1 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 50 binary64) (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i)))))
#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 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) (neg.f64 n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) (neg.f64 n))) (neg.f64 n)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (/.f64 (expm1.f64 i) (neg.f64 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (neg.f64 (+.f64 (/.f64 (expm1.f64 i) i) (/.f64 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64))) n)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (neg.f64 (+.f64 (/.f64 (expm1.f64 i) i) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 i))) (neg.f64 n))) n)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n))) (neg.f64 n)) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (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) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n)) (exp.f64 i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n))) (neg.f64 n)) (exp.f64 i)))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) (/.f64 (*.f64 (-.f64 (log.f64 i) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (*.f64 n n)) i))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) (/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) (neg.f64 n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 1/3 binary64) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n) i)) (neg.f64 n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (log (+ 1 (/ i n))) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (neg.f64 n))) n) i)) (neg.f64 n)))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (- (log i) (log n)) (-.f64 (log.f64 i) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (- (log i) (log n)) i) #s(hole binary64 (/ (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) i)))
#s(approx (/ (- (log i) (log n)) i) (/.f64 (-.f64 (log.f64 i) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) i))

rewrite173.0ms (1.6%)

Memory
9.8MiB live, 63.2MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040283
071268
1245268
21619268
08156268
Stop Event
iter limit
node limit
iter limit
Counts
21 → 364
Calls
Call 1
Inputs
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/.f64 (expm1.f64 i) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
(*.f64 n n)
(log1p.f64 (/.f64 i n))
(-.f64 (log.f64 i) (log.f64 n))
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
Outputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (neg.f64 i)) (neg.f64 n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (log.f64 (*.f64 n i)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (log.f64 (*.f64 n i))) (*.f64 (log.f64 (*.f64 n i)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 n i)) (log.f64 (*.f64 n i))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))) (pow.f64 (log.f64 n) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))) (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 n i))))
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(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) i)) (log.f64 n))
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(-.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))))
(-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n)))
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(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 i n)))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 i n))))) (neg.f64 (neg.f64 (neg.f64 i))))
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(-.f64 (/.f64 (*.f64 (log.f64 i) i) (*.f64 i i)) (/.f64 (*.f64 i (log.f64 n)) (*.f64 i i)))
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(-.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (*.f64 (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))) i)) (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (*.f64 (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))) i)))
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (log.f64 (*.f64 n i))) i) (/.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (log.f64 (*.f64 n i))) i))
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))) i) (/.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))) i))
(-.f64 (/.f64 (log.f64 (neg.f64 i)) i) (/.f64 (log.f64 (neg.f64 n)) i))
(-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))
(+.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 n i)) i)) (/.f64 (*.f64 (neg.f64 (log.f64 n)) (log.f64 n)) (*.f64 (log.f64 (*.f64 n i)) i)))

eval88.0ms (0.8%)

Memory
-21.8MiB live, 68.7MiB allocated; 10ms collecting garbage
Compiler

Compiled 23 422 to 2 841 computations (87.9% saved)

prune27.0ms (0.2%)

Memory
1.8MiB live, 48.9MiB allocated; 3ms collecting garbage
Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New52819547
Fresh13518
Picked235
Done011
Total54328571
Accuracy
100.0%
Counts
571 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.6%
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) #s(literal 100 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) (/.f64 i n))
69.2%
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
28.4%
(/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 100 binary64)) (/.f64 i n))
79.7%
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
42.6%
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
42.5%
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
79.3%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
77.5%
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
28.8%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
12.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
18.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
43.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
53.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
16.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
69.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
17.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)))
48.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
75.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 100 binary64) n)))
35.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n))
75.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
35.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64)) n))
59.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
56.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
59.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
56.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
53.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
59.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
53.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
Compiler

Compiled 1 365 to 904 computations (33.8% saved)

simplify82.0ms (0.8%)

Memory
30.2MiB live, 82.5MiB allocated; 5ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))
cost-diff0
(/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)
cost-diff0
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i))
cost-diff0
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
cost-diff1
(*.f64 (/.f64 i n) #s(literal -1 binary64))
cost-diff1
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
cost-diff4
(-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64)))
cost-diff9
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n))))
cost-diff0
(/.f64 i n)
cost-diff0
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)
cost-diff0
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64))
cost-diff0
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
cost-diff0
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
cost-diff0
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
cost-diff0
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
cost-diff0
(*.f64 (log1p.f64 (/.f64 i n)) n)
cost-diff0
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff0
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
cost-diff0
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054445
088438
1170426
2428410
31720405
08050398
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
#s(literal 50 binary64)
i
#s(literal 100 binary64)
n
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)
i
#s(literal 100 binary64)
(/.f64 i n)
n
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
#s(literal 100 binary64)
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n))))
(-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64)))
(*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))
(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)
n
i
#s(literal 1 binary64)
(/.f64 i (neg.f64 n))
(neg.f64 n)
(*.f64 (/.f64 i n) #s(literal -1 binary64))
(/.f64 i n)
#s(literal -1 binary64)
(*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i))
(/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)
(*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))
(log.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 n n)
Outputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) n) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
#s(literal 50 binary64)
i
#s(literal 100 binary64)
n
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 #s(literal 100 binary64) i))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)
i
#s(literal 100 binary64)
(/.f64 i n)
n
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
#s(literal 100 binary64)
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n))))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) i) n)
(-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 i) #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) i) n)
(*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n)))
(*.f64 (/.f64 i (neg.f64 n)) #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))
(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)
n
i
#s(literal 1 binary64)
(/.f64 i (neg.f64 n))
(neg.f64 n)
(*.f64 (/.f64 i n) #s(literal -1 binary64))
(/.f64 i (neg.f64 n))
(/.f64 i n)
#s(literal -1 binary64)
(*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))
(*.f64 (/.f64 (/.f64 i (neg.f64 n)) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (/.f64 n i) n) (log.f64 (/.f64 i n)))) #s(literal 100 binary64))
#s(literal 100 binary64)
#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 n i) n) (log.f64 (/.f64 i n))))
(/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)
(*.f64 (*.f64 (/.f64 n i) n) (log.f64 (/.f64 i n)))
(*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))
(*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))
(log.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 n n)

localize228.0ms (2.1%)

Memory
19.8MiB live, 250.7MiB allocated; 33ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.17305006746581617
(*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))
accuracy4.632045624339517
(/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)
accuracy8.00106934554737
(log.f64 (/.f64 i n))
accuracy23.8214296261298
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i))
accuracy0.14453125
(*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))
accuracy12.601019967269057
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n))))
accuracy18.559535794902033
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
accuracy19.93619053473746
(-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64)))
accuracy0.0
(/.f64 i n)
accuracy0.0859375
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64))
accuracy3.483131852015469
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
accuracy24.07603492338244
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)
accuracy0.0
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
accuracy0.03125
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
accuracy12.587208045375705
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
accuracy18.652262242670584
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
accuracy0.05859375
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
accuracy0.0625
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
accuracy3.4583954502531604
(*.f64 (log1p.f64 (/.f64 i n)) n)
accuracy4.604420826457435
(log1p.f64 (/.f64 i n))
Samples
108.0ms103×1valid
47.0ms34×2valid
30.0ms98×0invalid
6.0ms19×0valid
3.0ms5exit
2.0ms3valid
Compiler

Compiled 365 to 47 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-div: 47.0ms (29.8% of total)
ival-mult: 32.0ms (20.3% of total)
ival-pow: 31.0ms (19.7% of total)
adjust: 20.0ms (12.7% of total)
ival-add: 6.0ms (3.8% of total)
ival-expm1: 5.0ms (3.2% of total)
ival-sub: 5.0ms (3.2% of total)
ival-log1p: 4.0ms (2.5% of total)
ival-log: 4.0ms (2.5% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series158.0ms (1.5%)

Memory
-31.7MiB live, 54.9MiB allocated; 23ms collecting garbage
Counts
24 → 326
Calls
Call 1
Inputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)
(/.f64 i n)
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n))))
(-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
(*.f64 (/.f64 i n) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) #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 (log.f64 (/.f64 i n)) (*.f64 n n)) i))
(/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)
(*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))
(log1p.f64 (/.f64 i n))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
(*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))
(log.f64 (/.f64 i n))
Outputs
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* 100 n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 1))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx (* 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 (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (* 100 n)))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 50 (* i n)) (* 100 n))))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 100))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* 50 i))))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* i (+ 50 (* 50/3 i))))))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))))
#s(approx (+ (* 50 i) 100) #s(hole binary64 100))
#s(approx (+ (* 50 i) 100) #s(hole binary64 (+ 100 (* 50 i))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 n)))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* 100 i)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 n))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (+ n (* i (* (pow n 2) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (+ n (* i (+ (* i (* (pow n 2) (- (+ (* 1/6 (/ 1 n)) (* 1/3 (/ 1 (pow n 3)))) (* 1/2 (/ 1 (pow n 2)))))) (* (pow n 2) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* (pow n 2) (- (+ (* 1/24 (/ 1 n)) (* 11/24 (/ 1 (pow n 3)))) (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow n 4))))))) (* (pow n 2) (- (+ (* 1/6 (/ 1 n)) (* 1/3 (/ 1 (pow n 3)))) (* 1/2 (/ 1 (pow n 2))))))) (* (pow n 2) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))))))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (* -1 (/ (pow i 2) n))))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (* (pow i 2) (- (* -1 (* i (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (* (pow i 2) (- (* i (+ (* -1 (* i (- (+ (* 1/6 (/ 1 n)) (* 1/3 (/ 1 (pow n 3)))) (* 1/2 (/ 1 (pow n 2)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n)))))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (* (pow i 2) (- (* i (+ (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (* i (+ (* -1 (* i (- (+ (* 1/24 (/ 1 n)) (* 11/24 (/ 1 (pow n 3)))) (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow n 4))))))) (* -1 (- (+ (* 1/6 (/ 1 n)) (* 1/3 (/ 1 (pow n 3)))) (* 1/2 (/ 1 (pow n 2))))))))) (/ 1 n)))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* (pow n 2) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* (pow n 2) (- (+ (* 1/6 (/ 1 n)) (* 1/3 (/ 1 (pow n 3)))) (* 1/2 (/ 1 (pow n 2))))))) (* 100 (* (pow n 2) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* (pow n 2) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* i (+ (* 100 (* i (* (pow n 2) (- (+ (* 1/24 (/ 1 n)) (* 11/24 (/ 1 (pow n 3)))) (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow n 4)))))))) (* 100 (* (pow n 2) (- (+ (* 1/6 (/ 1 n)) (* 1/3 (/ 1 (pow n 3)))) (* 1/2 (/ 1 (pow n 2)))))))))))))
#s(approx (* (/ i n) -1) #s(hole binary64 (* -1 (/ i 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 (/ (* (log (/ i n)) (* n n)) i) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (log (/ 1 n)))) i)))
#s(approx (* (log (/ i n)) (* n n)) #s(hole binary64 (* (pow n 2) (+ (log i) (log (/ 1 n))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ i n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (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 (* (/ i n) (/ i (neg n))) #s(hole binary64 (* -1 (/ (pow i 2) (pow n 2)))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log i) (log (/ 1 n)))))
#s(approx (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) i)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
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#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (/ (* n (- (* i (exp i)) i)) (pow i 2))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (* i (exp i)) i) (pow i 2))) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg 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 (/ (- (* i (exp i)) i) (pow i 2))))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg 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 (/ (- (* i (exp i)) i) (pow i 2))))))))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (* -1 (/ (- (* i (exp i)) i) n))))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 (/ (* (pow i 3) (exp i)) n)) (* i (exp i))) i) n))))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 3) (exp i)))) n)) (* i (exp i))) i) n))))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* i (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4)))))) n)) (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 1/2 (* (pow i 3) (exp i)))) n)) (* i (exp i))) i) n))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* 100 (/ (* n (- (* i (exp i)) i)) (pow i 2)))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* -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) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (* (log (/ i n)) (* n n)) i) #s(hole binary64 (/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i)))
#s(approx (* (log (/ i n)) (* n n)) #s(hole binary64 (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (* -1 i)) (log (/ -1 n)))))
Calls

6 calls:

TimeVariablePointExpression
53.0ms
i
@-inf
((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n) (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (* (/ i n) -1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (log (/ i n)) (* n n)) i) (* (log (/ i n)) (* n n)) (log (+ 1 (/ i n))) (pow (+ 1 (/ i n)) n) (* (/ i n) (/ i (neg n))) (log (/ i n)))
34.0ms
i
@0
((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n) (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (* (/ i n) -1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (log (/ i n)) (* n n)) i) (* (log (/ i n)) (* n n)) (log (+ 1 (/ i n))) (pow (+ 1 (/ i n)) n) (* (/ i n) (/ i (neg n))) (log (/ i n)))
24.0ms
n
@-inf
((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n) (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (* (/ i n) -1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (log (/ i n)) (* n n)) i) (* (log (/ i n)) (* n n)) (log (+ 1 (/ i n))) (pow (+ 1 (/ i n)) n) (* (/ i n) (/ i (neg n))) (log (/ i n)))
15.0ms
i
@inf
((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n) (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (* (/ i n) -1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (log (/ i n)) (* n n)) i) (* (log (/ i n)) (* n n)) (log (+ 1 (/ i n))) (pow (+ 1 (/ i n)) n) (* (/ i n) (/ i (neg n))) (log (/ i n)))
11.0ms
n
@0
((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n) (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (* (/ i n) -1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (log (/ i n)) (* n n)) i) (* (log (/ i n)) (* n n)) (log (+ 1 (/ i n))) (pow (+ 1 (/ i n)) n) (* (/ i n) (/ i (neg n))) (log (/ i n)))

simplify202.0ms (1.9%)

Memory
18.4MiB live, 65.9MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0152917281
1479817229
0841915980
Stop Event
iter limit
node limit
Counts
326 → 326
Calls
Call 1
Inputs
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* 100 n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 1))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx (* 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 (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (* 100 n)))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 50 (* i n)) (* 100 n))))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 100))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* 50 i))))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* i (+ 50 (* 50/3 i))))))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))))
#s(approx (+ (* 50 i) 100) #s(hole binary64 100))
#s(approx (+ (* 50 i) 100) #s(hole binary64 (+ 100 (* 50 i))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* 100 n)))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* 100 i)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 n))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (+ n (* i (* (pow n 2) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (+ n (* i (+ (* i (* (pow n 2) (- (+ (* 1/6 (/ 1 n)) (* 1/3 (/ 1 (pow n 3)))) (* 1/2 (/ 1 (pow n 2)))))) (* (pow n 2) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* (pow n 2) (- (+ (* 1/24 (/ 1 n)) (* 11/24 (/ 1 (pow n 3)))) (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow n 4))))))) (* (pow n 2) (- (+ (* 1/6 (/ 1 n)) (* 1/3 (/ 1 (pow n 3)))) (* 1/2 (/ 1 (pow n 2))))))) (* (pow n 2) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))))))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (* -1 (/ (pow i 2) n))))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (* (pow i 2) (- (* -1 (* i (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (* (pow i 2) (- (* i (+ (* -1 (* i (- (+ (* 1/6 (/ 1 n)) (* 1/3 (/ 1 (pow n 3)))) (* 1/2 (/ 1 (pow n 2)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n)))))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (* (pow i 2) (- (* i (+ (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (* i (+ (* -1 (* i (- (+ (* 1/24 (/ 1 n)) (* 11/24 (/ 1 (pow n 3)))) (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow n 4))))))) (* -1 (- (+ (* 1/6 (/ 1 n)) (* 1/3 (/ 1 (pow n 3)))) (* 1/2 (/ 1 (pow n 2))))))))) (/ 1 n)))))
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#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (/ (- (+ (* -1 (* i (exp i))) (* 1/2 (/ (* (pow i 3) (exp i)) n))) (* -1 i)) n)))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (/ (- (+ (* -1 (* i (exp i))) (+ (* -1 (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow n 2))) (* 1/2 (/ (* (pow i 3) (exp i)) n)))) (* -1 i)) n)))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (/ (- (+ (* -1 (* i (exp i))) (+ (* -1 (/ (* i (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6)))))) (pow n 3))) (+ (* -1 (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow n 2))) (* 1/2 (/ (* (pow i 3) (exp i)) n))))) (* -1 i)) n)))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -100 (/ (* n (- (* -1 (* i (exp i))) (* -1 i))) (pow i 2)))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* n (+ (* -100 (/ (- (* -1 (* i (exp i))) (* -1 i)) (pow i 2))) (* -50 (/ (* i (exp i)) n))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* n (+ (* -100 (/ (- (* -1 (* i (exp i))) (* -1 i)) (pow i 2))) (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* n (+ (* -100 (/ (- (* -1 (* i (exp i))) (* -1 i)) (pow i 2))) (+ (* -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))))))))))
#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 (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* 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 (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (/ (* n (- (* i (exp i)) i)) (pow i 2))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (* i (exp i)) i) (pow i 2))) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg 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 (/ (- (* i (exp i)) i) (pow i 2))))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg 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 (/ (- (* i (exp i)) i) (pow i 2))))))))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (* -1 (/ (- (* i (exp i)) i) n))))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 (/ (* (pow i 3) (exp i)) n)) (* i (exp i))) i) n))))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 3) (exp i)))) n)) (* i (exp i))) i) n))))
#s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* i (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4)))))) n)) (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 1/2 (* (pow i 3) (exp i)))) n)) (* i (exp i))) i) n))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* 100 (/ (* n (- (* i (exp i)) i)) (pow i 2)))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* -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) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (* (log (/ i n)) (* n n)) i) #s(hole binary64 (/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i)))
#s(approx (* (log (/ i n)) (* n n)) #s(hole binary64 (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (* -1 i)) (log (/ -1 n)))))
Outputs
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (* 100 n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (*.f64 #s(literal 100 binary64) n))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 1))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 1 binary64))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) i)
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) #s(literal 1 binary64)) i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
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#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) (neg.f64 (/.f64 (expm1.f64 i) i))) (neg.f64 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)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (/.f64 (exp.f64 i) n) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i))) (neg.f64 n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (neg.f64 (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (*.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n))) n))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i))) (neg.f64 n)))
#s(approx (/ (* (log (/ i n)) (* n n)) i) #s(hole binary64 (/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i)))
#s(approx (/ (* (log (/ i n)) (* n n)) i) (/.f64 (*.f64 (+.f64 (log.f64 (neg.f64 i)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (*.f64 n n)) i))
#s(approx (* (log (/ i n)) (* n n)) #s(hole binary64 (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n))))))
#s(approx (* (log (/ i n)) (* n n)) (*.f64 (+.f64 (log.f64 (neg.f64 i)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (*.f64 n n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 1/3 binary64) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n))) n) #s(literal -1 binary64) (neg.f64 i)) n)))
#s(approx (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) (fma.f64 (/.f64 (fma.f64 (neg.f64 (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) (*.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i))) n) #s(literal -1 binary64) (exp.f64 i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (neg.f64 (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n) (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i))) n))) n) #s(literal -1 binary64) (exp.f64 i)))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (* -1 i)) (log (/ -1 n)))))
#s(approx (log (/ i n)) (+.f64 (log.f64 (neg.f64 i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))

rewrite139.0ms (1.3%)

Memory
8.3MiB live, 55.4MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054354
088348
1297329
22012326
08661317
Stop Event
iter limit
node limit
iter limit
Counts
24 → 541
Calls
Call 1
Inputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)
(/.f64 i n)
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n))))
(-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
(*.f64 (/.f64 i n) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) #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 (log.f64 (/.f64 i n)) (*.f64 n n)) i))
(/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)
(*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))
(log1p.f64 (/.f64 i n))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
(*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))
(log.f64 (/.f64 i n))
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i)) (neg.f64 n))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n)
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))) (/.f64 i n))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 #s(literal 100 binary64) n))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (/.f64 i n))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (/.f64 i n))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64)) (/.f64 i (neg.f64 n)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 #s(literal 100 binary64) n)) (neg.f64 i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 i))
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 i (neg.f64 n)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n)) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 i (neg.f64 n)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) i)
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) #s(literal 2 binary64)) (pow.f64 i #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)) i)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) #s(literal 3 binary64)) (pow.f64 i #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (pow.f64 i #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (*.f64 i #s(literal 1 binary64)))) (neg.f64 (*.f64 i i)))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)) (neg.f64 i)) (*.f64 (neg.f64 i) #s(literal -1 binary64))) (*.f64 i i))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)) i) (*.f64 (neg.f64 i) #s(literal 1 binary64))) (*.f64 (neg.f64 i) i))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) (neg.f64 i)) (*.f64 #s(literal -1 binary64) i)) (*.f64 i (neg.f64 i)))
(/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) #s(literal 2 binary64)) (pow.f64 i #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)) i))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) #s(literal 3 binary64)) (pow.f64 i #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (pow.f64 i #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)) i)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64))))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)) i)))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (*.f64 i #s(literal 1 binary64))) (*.f64 i i))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)) i))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)) i))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i))
(neg.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)))
(-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)) #s(literal 1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 i) #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) i) n) #s(literal 100 binary64))) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 i) #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) i) n) #s(literal 100 binary64)) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 i n))
(*.f64 (/.f64 i n) #s(literal -1 binary64))
(*.f64 i (/.f64 #s(literal -1 binary64) n))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 i))) n)
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1 binary64) i))) n)
(/.f64 (neg.f64 (*.f64 (neg.f64 i) #s(literal -1 binary64))) n)
(/.f64 (neg.f64 (neg.f64 (neg.f64 i))) n)
(/.f64 (*.f64 (neg.f64 i) #s(literal -1 binary64)) (neg.f64 n))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 i)) (neg.f64 n))
(/.f64 (neg.f64 (neg.f64 i)) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) i)) (neg.f64 n))
(/.f64 (*.f64 #s(literal -1 binary64) i) n)
(/.f64 (neg.f64 i) n)
(/.f64 i (neg.f64 n))
(neg.f64 (/.f64 i n))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n)))) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n))))
(*.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n)))
(*.f64 (log.f64 (pow.f64 (/.f64 i n) n)) (/.f64 n i))
(*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))
(*.f64 (log.f64 (/.f64 i n)) (/.f64 (*.f64 n n) i))
(/.f64 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n))) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n))) i)
(neg.f64 (*.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n))))
(log.f64 (pow.f64 (/.f64 i n) (/.f64 (*.f64 n n) i)))
(*.f64 (*.f64 (log.f64 (/.f64 i n)) (neg.f64 n)) (neg.f64 n))
(*.f64 (neg.f64 (log.f64 (pow.f64 (/.f64 i n) n))) n)
(*.f64 (neg.f64 (log.f64 (/.f64 i n))) (*.f64 n n))
(*.f64 (log.f64 (pow.f64 (/.f64 i n) n)) (neg.f64 n))
(*.f64 (log.f64 (pow.f64 (/.f64 i n) n)) n)
(*.f64 (*.f64 n n) (neg.f64 (log.f64 (/.f64 i n))))
(*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))
(*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))
(*.f64 (neg.f64 n) (*.f64 (neg.f64 n) (log.f64 (/.f64 i n))))
(*.f64 n (log.f64 (pow.f64 (/.f64 i n) n)))
(neg.f64 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n))))
(log.f64 (pow.f64 (pow.f64 (/.f64 i n) n) n))
(log1p.f64 (/.f64 i n))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64))) (log1p.f64 (*.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)))))
(log.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 (fabs.f64 i) n)) (neg.f64 (/.f64 (fabs.f64 i) n)))
(*.f64 (fabs.f64 (/.f64 (fabs.f64 i) n)) (fabs.f64 (/.f64 (fabs.f64 i) n)))
(*.f64 (pow.f64 (/.f64 i (neg.f64 n)) #s(literal 1 binary64)) (pow.f64 (/.f64 i (neg.f64 n)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 i (neg.f64 n)) #s(literal 1 binary64)) (/.f64 i (neg.f64 n)))
(*.f64 (pow.f64 (/.f64 i n) #s(literal 1 binary64)) (pow.f64 (/.f64 i n) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 i n))
(*.f64 (/.f64 (fabs.f64 i) n) (/.f64 (fabs.f64 i) n))
(*.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 i i) (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(*.f64 (/.f64 i (neg.f64 n)) (/.f64 i (neg.f64 n)))
(*.f64 (/.f64 i (neg.f64 n)) (/.f64 i n))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))
(*.f64 (/.f64 i n) (/.f64 i n))
(*.f64 i (/.f64 (/.f64 i (neg.f64 n)) n))
(*.f64 i (/.f64 i (*.f64 n n)))
(pow.f64 (*.f64 (/.f64 i (neg.f64 n)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 i (neg.f64 n))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fabs.f64 i) n) #s(literal 2 binary64))
(pow.f64 (/.f64 i (neg.f64 n)) #s(literal 2 binary64))
(pow.f64 (/.f64 i n) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 i) (/.f64 i (neg.f64 n)))) n)
(/.f64 (neg.f64 (*.f64 (/.f64 i (neg.f64 n)) (neg.f64 i))) n)
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) i) (/.f64 i (neg.f64 n)))) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 (neg.f64 i) (/.f64 i n))) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 (neg.f64 i) (/.f64 i n))) n)
(/.f64 (neg.f64 (*.f64 (/.f64 i (neg.f64 n)) (*.f64 #s(literal -1 binary64) i))) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 (/.f64 i n) (neg.f64 i))) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 (/.f64 i n) (neg.f64 i))) n)
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 i (neg.f64 n)) i))) (neg.f64 n))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 i (neg.f64 n)) i))) n)
(/.f64 (neg.f64 (neg.f64 (*.f64 i i))) (*.f64 n n))
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -1 binary64) i) #s(literal 2 binary64))) (*.f64 n n))
(/.f64 (neg.f64 (*.f64 i (neg.f64 i))) (*.f64 n n))
(/.f64 (neg.f64 (*.f64 (neg.f64 i) i)) (*.f64 n n))
(/.f64 (*.f64 (neg.f64 i) (/.f64 i (neg.f64 n))) (neg.f64 n))
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) i) (/.f64 i (neg.f64 n))) n)
(/.f64 (*.f64 (neg.f64 i) (/.f64 i n)) (neg.f64 n))
(/.f64 (*.f64 (neg.f64 i) (/.f64 i n)) n)
(/.f64 (*.f64 (/.f64 i (neg.f64 n)) (neg.f64 i)) (neg.f64 n))
(/.f64 (*.f64 (/.f64 i (neg.f64 n)) (*.f64 #s(literal -1 binary64) i)) n)
(/.f64 (*.f64 (/.f64 i n) (neg.f64 i)) (neg.f64 n))
(/.f64 (*.f64 (/.f64 i n) (neg.f64 i)) n)
(/.f64 (neg.f64 (*.f64 (/.f64 i (neg.f64 n)) i)) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 (/.f64 i (neg.f64 n)) i)) n)
(/.f64 (neg.f64 (*.f64 i i)) (*.f64 n n))
(/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) i) #s(literal 2 binary64)) (*.f64 n n))
(/.f64 (*.f64 (neg.f64 i) i) (*.f64 n n))
(/.f64 (*.f64 i (neg.f64 i)) (*.f64 n n))
(/.f64 (*.f64 (/.f64 i (neg.f64 n)) i) (neg.f64 n))
(/.f64 (*.f64 (/.f64 i (neg.f64 n)) i) n)
(/.f64 (*.f64 (/.f64 i n) i) (neg.f64 n))
(/.f64 (*.f64 (/.f64 i n) i) n)
(/.f64 (*.f64 i i) (*.f64 n n))
(neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(fabs.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 i (neg.f64 n))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 i n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 i) (log.f64 i) (fma.f64 (log.f64 n) (log.f64 n) (*.f64 (log.f64 i) (log.f64 n))))))
(/.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (log.f64 (*.f64 i n)))
(/.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (fma.f64 (log.f64 i) (log.f64 i) (fma.f64 (log.f64 n) (log.f64 n) (*.f64 (log.f64 i) (log.f64 n)))))
(-.f64 (log.f64 (*.f64 (neg.f64 i) #s(literal -1 binary64))) (log.f64 n))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i))) (log.f64 (neg.f64 n)))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) i)) (log.f64 n))
(-.f64 (log.f64 (neg.f64 (neg.f64 i))) (log.f64 n))
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) i)) (log.f64 (neg.f64 n)))
(-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n)))
(-.f64 (log.f64 i) (log.f64 n))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 i (neg.f64 n))))
(+.f64 (log.f64 (/.f64 i (neg.f64 n))) (log.f64 #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 i n)))
(+.f64 (log.f64 (/.f64 i n)) #s(literal 0 binary64))
(log.f64 (/.f64 i n))

eval98.0ms (0.9%)

Memory
-16.3MiB live, 72.6MiB allocated; 11ms collecting garbage
Compiler

Compiled 39 032 to 4 120 computations (89.4% saved)

prune36.0ms (0.3%)

Memory
-12.6MiB live, 45.0MiB allocated; 3ms collecting garbage
Pruning

34 alts after pruning (27 fresh and 7 done)

PrunedKeptTotal
New87412886
Fresh41519
Picked235
Done044
Total88034914
Accuracy
100.0%
Counts
914 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.2%
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
48.7%
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) n) i)
28.4%
(/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 100 binary64)) (/.f64 i n))
79.7%
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
42.6%
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
42.5%
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
29.1%
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
47.9%
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) i) n)
67.2%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)) i)) (*.f64 n #s(literal 100 binary64)))
75.0%
(*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) (*.f64 n #s(literal 100 binary64)))
41.5%
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i))
77.6%
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
11.1%
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n #s(literal 100 binary64)))
28.8%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
13.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
18.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
24.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (neg.f64 (/.f64 (*.f64 i i) n))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
53.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
16.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
69.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
17.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)))
48.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
42.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)))
35.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n))
75.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
35.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64)) n))
59.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
56.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
59.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
56.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
53.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
12.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
59.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
53.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
Compiler

Compiled 1 635 to 1 084 computations (33.7% saved)

simplify96.0ms (0.9%)

Memory
32.6MiB live, 32.6MiB allocated; 0ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n)
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n))
cost-diff4
(/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i))
cost-diff0
(*.f64 (*.f64 n n) i)
cost-diff0
(fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)
cost-diff0
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n))
cost-diff0
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))
cost-diff0
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)))
cost-diff0
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
cost-diff0
#s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))
cost-diff0
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i)))
cost-diff0
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
cost-diff0
(log1p.f64 (/.f64 i n))
cost-diff0
(*.f64 (log1p.f64 (/.f64 i n)) n)
cost-diff0
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff0
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062446
094440
1182432
2477413
31911400
09319376
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i)))
#s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))
(*.f64 #s(literal 50 binary64) i)
#s(literal 50 binary64)
i
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))
(fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))
#s(literal 25/6 binary64)
i
#s(literal 50/3 binary64)
#s(literal 50 binary64)
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)))
#s(literal 100 binary64)
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n))
(fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)
(*.f64 (*.f64 n n) i)
(*.f64 n n)
n
i
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n))
(*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64))
(/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i))
(-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64))
(neg.f64 (exp.f64 i))
(exp.f64 i)
i
#s(literal -1 binary64)
(neg.f64 i)
#s(literal 100 binary64)
n
Outputs
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i)))
#s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))
(*.f64 #s(literal 50 binary64) i)
#s(literal 50 binary64)
i
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))
(fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))
#s(literal 25/6 binary64)
i
#s(literal 50/3 binary64)
#s(literal 50 binary64)
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)))
(*.f64 #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n)) (*.f64 (*.f64 n n) i) n)) #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n)) (*.f64 (*.f64 n n) i) n))
(fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n)) (*.f64 (*.f64 n n) i) n)
(*.f64 (*.f64 n n) i)
(*.f64 n n)
n
i
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/2 binary64) n) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (expm1.f64 i) i)
(-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64))
(neg.f64 (exp.f64 i))
(exp.f64 i)
i
#s(literal -1 binary64)
(neg.f64 i)
#s(literal 100 binary64)
n

localize297.0ms (2.7%)

Memory
-10.3MiB live, 82.5MiB allocated; 3ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.04296875
(*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n)
accuracy0.0703125
(*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64))
accuracy12.750661251226061
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n))
accuracy31.637867379398017
(-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64))
accuracy0.7178268828493903
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
accuracy8.192074590604241
(*.f64 (*.f64 n n) i)
accuracy19.41971801304088
(fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)
accuracy26.69744708103727
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n))
accuracy0.078125
(fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))
accuracy0.1796875
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))
accuracy12.750661251226061
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
accuracy17.561226841280128
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)))
accuracy0.04296875
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)
accuracy12.750661251226061
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
accuracy24.902814377339276
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i)))
accuracy33.85643346531438
#s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))
accuracy0.21484375
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
accuracy4.608327076457435
(log1p.f64 (/.f64 i n))
accuracy7.46720262646227
(*.f64 (log1p.f64 (/.f64 i n)) n)
accuracy8.354877575876548
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
Samples
140.0ms141×1valid
93.0ms59×2valid
14.0ms40×0valid
10.0ms5exit
5.0ms13×0invalid
Compiler

Compiled 331 to 57 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 224.0ms
ival-pow: 54.0ms (24.1% of total)
adjust: 47.0ms (21% of total)
ival-mult: 43.0ms (19.2% of total)
ival-div: 25.0ms (11.2% of total)
ival-add: 13.0ms (5.8% of total)
ival-exp: 12.0ms (5.4% of total)
const: 9.0ms (4% of total)
ival-sub: 8.0ms (3.6% of total)
ival-log1p: 5.0ms (2.2% of total)
ival-expm1: 5.0ms (2.2% of total)
ival-neg: 4.0ms (1.8% of total)
exact: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Counts
25 → 227
Calls
Call 1
Inputs
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i)))
#s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n))
(fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)
(*.f64 (*.f64 n n) i)
(/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n))
(*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))
(fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64))
Outputs
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) #s(hole binary64 (* 100 n)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
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#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -100 (/ (* n (- (* -1 (* i (exp i))) (* -1 i))) (pow i 2)))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* n (+ (* -100 (/ (- (* -1 (* i (exp i))) (* -1 i)) (pow i 2))) (* -50 (/ (* i (exp i)) n))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* n (+ (* -100 (/ (- (* -1 (* i (exp i))) (* -1 i)) (pow i 2))) (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* n (+ (* -100 (/ (- (* -1 (* i (exp i))) (* -1 i)) (pow i 2))) (+ (* -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))))))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (* -1 (/ (* n (- (* -1 (* i (exp i))) (* -1 i))) (pow i 2)))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (* n (+ (* -1 (/ (- (* -1 (* i (exp i))) (* -1 i)) (pow i 2))) (* -1/2 (/ (* i (exp i)) n))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (* n (+ (* -1 (/ (- (* -1 (* i (exp i))) (* -1 i)) (pow i 2))) (+ (* -1/2 (/ (* i (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (* n (+ (* -1 (/ (- (* -1 (* i (exp i))) (* -1 i)) (pow i 2))) (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (* (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)))))))))
#s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) #s(hole binary64 (* n (+ 1 (* 1/2 i)))))
#s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) #s(hole binary64 (* n (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* 100 (/ (* n (- (* i (exp i)) i)) (pow i 2)))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* -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) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* -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) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (/ (* n (- (* i (exp i)) i)) (pow i 2))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (* i (exp i)) i) (pow i 2))) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg 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 (/ (- (* i (exp i)) i) (pow i 2))))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg 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 (/ (- (* i (exp i)) i) (pow i 2))))))))
#s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) #s(hole binary64 (* -1 (* n (- (* -1/2 i) 1)))))
#s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) #s(hole binary64 (* -1 (* n (- (+ (* -1/2 i) (* 1/2 (/ i n))) 1)))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
i
@inf
((* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (* (* n n) i) (/ (- (neg (exp i)) -1) (neg i)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (* (/ (- (neg (exp i)) -1) (neg i)) 100) (/ (* 100 n) i) (+ (* 25/6 i) 50/3) (+ (* (+ (* 25/6 i) 50/3) i) 50) (/ 1/2 (* n n)) (- (neg (exp i)) -1))
5.0ms
i
@-inf
((* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (* (* n n) i) (/ (- (neg (exp i)) -1) (neg i)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (* (/ (- (neg (exp i)) -1) (neg i)) 100) (/ (* 100 n) i) (+ (* 25/6 i) 50/3) (+ (* (+ (* 25/6 i) 50/3) i) 50) (/ 1/2 (* n n)) (- (neg (exp i)) -1))
4.0ms
n
@0
((* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (* (* n n) i) (/ (- (neg (exp i)) -1) (neg i)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (* (/ (- (neg (exp i)) -1) (neg i)) 100) (/ (* 100 n) i) (+ (* 25/6 i) 50/3) (+ (* (+ (* 25/6 i) 50/3) i) 50) (/ 1/2 (* n n)) (- (neg (exp i)) -1))
4.0ms
i
@0
((* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (* (* n n) i) (/ (- (neg (exp i)) -1) (neg i)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (* (/ (- (neg (exp i)) -1) (neg i)) 100) (/ (* 100 n) i) (+ (* 25/6 i) 50/3) (+ (* (+ (* 25/6 i) 50/3) i) 50) (/ 1/2 (* n n)) (- (neg (exp i)) -1))
3.0ms
n
@-inf
((* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (* (* n n) i) (/ (- (neg (exp i)) -1) (neg i)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (* (/ (- (neg (exp i)) -1) (neg i)) 100) (/ (* 100 n) i) (+ (* 25/6 i) 50/3) (+ (* (+ (* 25/6 i) 50/3) i) 50) (/ 1/2 (* n n)) (- (neg (exp i)) -1))

simplify179.0ms (1.7%)

Memory
-31.0MiB live, 64.1MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117710350
1367010243
093209486
Stop Event
iter limit
node limit
Counts
227 → 227
Calls
Call 1
Inputs
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) #s(hole binary64 (* 100 n)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ i n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (* 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 (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (* 100 n)))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 50 (* i n)) (* 100 n))))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 100))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* 50 i))))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* i (+ 50 (* 50/3 i))))))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))))
#s(approx (+ (* 50 i) 100) #s(hole binary64 100))
#s(approx (+ (* 50 i) 100) #s(hole binary64 (+ 100 (* 50 i))))
#s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) #s(hole binary64 100))
#s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) #s(hole binary64 (+ 100 (* 50 i))))
#s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) #s(hole binary64 (+ 100 (* i (+ 50 (* 50/3 i))))))
#s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) #s(hole binary64 (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* 100 n)))
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#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* 100 (/ (* n (- (* i (exp i)) i)) (pow i 2)))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* -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) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* -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) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (/ (* n (- (* i (exp i)) i)) (pow i 2))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (* i (exp i)) i) (pow i 2))) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg 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 (/ (- (* i (exp i)) i) (pow i 2))))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg 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 (/ (- (* i (exp i)) i) (pow i 2))))))))
#s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) #s(hole binary64 (* -1 (* n (- (* -1/2 i) 1)))))
#s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) #s(hole binary64 (* -1 (* n (- (+ (* -1/2 i) (* 1/2 (/ i n))) 1)))))
Outputs
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) #s(hole binary64 (* 100 n)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) (*.f64 #s(literal 100 binary64) n))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) i)
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) #s(literal 1 binary64)) i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ i n)))
#s(approx (log (+ 1 (/ i n))) (/.f64 i n))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal 1/3 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n)) i (/.f64 #s(literal 1 binary64) n)) i))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 3 binary64)))) i) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n)) i (/.f64 #s(literal 1 binary64) n)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.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))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (* 100 n)))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) (*.f64 #s(literal 100 binary64) n))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 50 (* i n)) (* 100 n))))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 #s(literal 50/3 binary64) (*.f64 n i) (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))))
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 100))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(literal 100 binary64))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* 50 i))))
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* i (+ 50 (* 50/3 i))))))
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(hole binary64 (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))))
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)))
#s(approx (+ (* 50 i) 100) #s(hole binary64 100))
#s(approx (+ (* 50 i) 100) #s(literal 100 binary64))
#s(approx (+ (* 50 i) 100) #s(hole binary64 (+ 100 (* 50 i))))
#s(approx (+ (* 50 i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
#s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) #s(hole binary64 100))
#s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) #s(literal 100 binary64))
#s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) #s(hole binary64 (+ 100 (* 50 i))))
#s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
#s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) #s(hole binary64 (+ 100 (* i (+ 50 (* 50/3 i))))))
#s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)))
#s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) #s(hole binary64 (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))))
#s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* (pow n 2) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n)) n)))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* (pow n 2) (- (+ (* 1/6 (/ 1 n)) (* 1/3 (/ 1 (pow n 3)))) (* 1/2 (/ 1 (pow n 2))))))) (* 100 (* (pow n 2) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n)) (*.f64 n n)))) i (*.f64 #s(literal 100 binary64) n)))
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#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 i) i) i) n) i)))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (*.f64 (fma.f64 (/.f64 #s(literal -100 binary64) i) (/.f64 (-.f64 (*.f64 (exp.f64 i) i) i) i) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 50 binary64))) (neg.f64 n)))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* -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) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (*.f64 (fma.f64 (/.f64 #s(literal -100 binary64) i) (/.f64 (-.f64 (*.f64 (exp.f64 i) i) i) i) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (/.f64 (exp.f64 i) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) (neg.f64 n))) (neg.f64 n)))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n))))) (*.f64 (fma.f64 (/.f64 #s(literal -100 binary64) i) (/.f64 (-.f64 (*.f64 (exp.f64 i) i) i) i) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) (neg.f64 n))) (neg.f64 n))) (neg.f64 n)))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (/ (* n (- (* i (exp i)) i)) (pow i 2))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 i) i) i) i) (/.f64 n i)))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (* i (exp i)) i) (pow i 2))) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 i) i) i)) (*.f64 i i))) (neg.f64 n)))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg 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 (/ (- (* i (exp i)) i) (pow i 2))))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (*.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (*.f64 (exp.f64 i) i) i) (*.f64 i i)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (/.f64 (exp.f64 i) n) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64))) n))) (neg.f64 n)))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg 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 (/ (- (* i (exp i)) i) (pow i 2))))))))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (*.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (*.f64 (exp.f64 i) i) i) (*.f64 i i)) (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n) (*.f64 (neg.f64 (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i))) (neg.f64 n))) n))) (neg.f64 n)))
#s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) #s(hole binary64 (* -1 (* n (- (* -1/2 i) 1)))))
#s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1 binary64)) (neg.f64 n)))
#s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) #s(hole binary64 (* -1 (* n (- (+ (* -1/2 i) (* 1/2 (/ i n))) 1)))))
#s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 #s(literal 1/2 binary64) (/.f64 i n))) #s(literal 1 binary64)) (neg.f64 n)))

rewrite77.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
062395
094389
1350359
02606335
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
25 → 204
Calls
Call 1
Inputs
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i)))
#s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)))
#s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n))
(fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)
(*.f64 (*.f64 n n) i)
(/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n))
(*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))
(fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64))
Outputs
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) n) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal -100 binary64) n)) (neg.f64 i))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) n) i) (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) n) i) (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 100 binary64) n))) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (*.f64 #s(literal -100 binary64) n)) (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)) (neg.f64 i)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (*.f64 #s(literal 100 binary64) n)) (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (*.f64 #s(literal -100 binary64) n)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)) (neg.f64 i)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (*.f64 #s(literal 100 binary64) n)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)) i))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64)))) (*.f64 (neg.f64 i) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64)))) (*.f64 (neg.f64 i) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64)))) (*.f64 i (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64)))) (*.f64 i (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 (+.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)))
(fma.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) (neg.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(-.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n))))
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(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(neg.f64 (/.f64 (*.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) #s(literal 100 binary64)) i))
(neg.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) i)))
(neg.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) i) #s(literal 100 binary64)))
(*.f64 (/.f64 n i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 n i))
(*.f64 n (/.f64 #s(literal 100 binary64) i))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) n)) i)
(/.f64 (*.f64 #s(literal -100 binary64) n) (neg.f64 i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) n) i))
(neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) n) (neg.f64 i)))
(/.f64 (-.f64 #s(literal 2500/9 binary64) (*.f64 #s(literal 625/36 binary64) (*.f64 i i))) (-.f64 #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) i)))
(/.f64 (neg.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 15625/216 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 125000/27 binary64))) (neg.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) (-.f64 #s(literal 2500/9 binary64) (*.f64 i #s(literal 625/9 binary64))))))
(/.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64)) (-.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64)))
(/.f64 (fma.f64 #s(literal 15625/216 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 125000/27 binary64)) (+.f64 #s(literal 2500/9 binary64) (-.f64 (*.f64 #s(literal 625/36 binary64) (*.f64 i i)) (*.f64 i #s(literal 625/9 binary64)))))
(/.f64 (fma.f64 #s(literal 15625/216 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 125000/27 binary64)) (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) (-.f64 #s(literal 2500/9 binary64) (*.f64 i #s(literal 625/9 binary64)))))
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 625/36 binary64) (*.f64 i i)) (-.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))) (/.f64 #s(literal 2500/9 binary64) (-.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))))
(-.f64 #s(literal 50/3 binary64) (*.f64 #s(literal -25/6 binary64) i))
(-.f64 #s(literal 50/3 binary64) (*.f64 (neg.f64 i) #s(literal 25/6 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 3 binary64)) (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) (-.f64 #s(literal 2500/9 binary64) (*.f64 i #s(literal 625/9 binary64))))) (/.f64 #s(literal 125000/27 binary64) (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) (-.f64 #s(literal 2500/9 binary64) (*.f64 i #s(literal 625/9 binary64))))))
(+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))
(+.f64 #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) i))
(/.f64 (-.f64 #s(literal 2500 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 2 binary64))) (-.f64 #s(literal 50 binary64) (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 2 binary64)) #s(literal 2500 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 50 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 125000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 50 binary64) (-.f64 #s(literal 50 binary64) (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i)) (pow.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 2 binary64)) #s(literal 2500 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 50 binary64)))
(/.f64 (+.f64 #s(literal 125000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 3 binary64))) (+.f64 #s(literal 2500 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 50 binary64)))))
(/.f64 (+.f64 #s(literal 125000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 3 binary64))) (fma.f64 #s(literal 50 binary64) (-.f64 #s(literal 50 binary64) (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i)) (pow.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))
(fma.f64 i (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) #s(literal 50 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 50 binary64))) (/.f64 #s(literal 2500 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 50 binary64))))
(-.f64 #s(literal 50 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i))
(-.f64 #s(literal 50 binary64) (*.f64 (neg.f64 i) (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 3 binary64)) (fma.f64 #s(literal 50 binary64) (-.f64 #s(literal 50 binary64) (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i)) (pow.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 2 binary64)))) (/.f64 #s(literal 125000 binary64) (fma.f64 #s(literal 50 binary64) (-.f64 #s(literal 50 binary64) (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i)) (pow.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i) #s(literal 50 binary64))
(+.f64 #s(literal 50 binary64) (*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i))
(/.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 n)) (fabs.f64 n))
(/.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 n)) (neg.f64 n))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 n))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n))
(/.f64 (/.f64 #s(literal 1/2 binary64) n) n)
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 n) n)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 i i))) (neg.f64 (+.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 i) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64))))))
(/.f64 (expm1.f64 (+.f64 i i)) (+.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)))
(/.f64 (-.f64 (neg.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)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (+.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64))))
(-.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 i) #s(literal 3 binary64))) (fma.f64 (exp.f64 i) (exp.f64 i) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64))))) (/.f64 #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))))))
(-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64))

eval52.0ms (0.5%)

Memory
-8.9MiB live, 36.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 19 552 to 2 194 computations (88.8% saved)

prune41.0ms (0.4%)

Memory
-10.5MiB live, 37.3MiB allocated; 1ms collecting garbage
Pruning

39 alts after pruning (30 fresh and 9 done)

PrunedKeptTotal
New41316429
Fresh81422
Picked235
Done167
Total42439463
Accuracy
100.0%
Counts
463 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.2%
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
48.7%
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) n) i)
28.4%
(/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 100 binary64)) (/.f64 i n))
42.5%
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
29.1%
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
47.9%
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) i) n)
67.2%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)) i)) (*.f64 n #s(literal 100 binary64)))
75.0%
(*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) (*.f64 n #s(literal 100 binary64)))
41.5%
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i))
28.8%
(*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
77.9%
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 n i))
77.6%
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
42.5%
(*.f64 #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (*.f64 n n) i) n)) #s(literal 100 binary64))
11.1%
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n #s(literal 100 binary64)))
41.3%
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
41.3%
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
28.8%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
13.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
18.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
24.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (neg.f64 (/.f64 (*.f64 i i) n))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
16.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
69.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
17.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)))
48.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
53.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n (*.f64 #s(literal -1/2 binary64) i)))))
53.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
2.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
75.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
56.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (neg (exp i)) -1) (neg i)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
56.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
35.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)) i) #s(literal -100 binary64))) n))
59.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
59.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64)) (-.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
58.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
53.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
18.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) (*.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) #s(literal 25/6 binary64)) (pow.f64 i #s(literal 3 binary64))))) n))
12.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
59.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
53.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
Compiler

Compiled 3 244 to 1 155 computations (64.4% saved)

regimes61.0ms (0.6%)

Memory
32.4MiB live, 32.4MiB allocated; 0ms collecting garbage
Counts
71 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (neg (exp i)) -1) (neg i)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n (*.f64 #s(literal -1/2 binary64) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (*.f64 n n) i) n)) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64)) (-.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (neg.f64 (/.f64 (*.f64 i i) n))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #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 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)) i) #s(literal -100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) (*.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) #s(literal 25/6 binary64)) (pow.f64 i #s(literal 3 binary64))))) n))
(*.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 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (exp.f64 i)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
(*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.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 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) i)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)) i)) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n) (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n)) (*.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (pow.f64 (/.f64 i n) #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) i) n (pow.f64 (/.f64 i n) #s(literal -1 binary64)))))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) #s(literal 100 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) (/.f64 i n))
Outputs
(*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

4 calls:

16.0ms
n
16.0ms
i
12.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
12.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
96.8%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
96.8%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)))
90.1%4i
91.7%3n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes28.0ms (0.3%)

Memory
-30.1MiB live, 17.0MiB allocated; 1ms collecting garbage
Counts
67 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (neg (exp i)) -1) (neg i)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n (*.f64 #s(literal -1/2 binary64) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (*.f64 n n) i) n)) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64)) (-.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (neg.f64 (/.f64 (*.f64 i i) n))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #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 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)) i) #s(literal -100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) (*.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) #s(literal 25/6 binary64)) (pow.f64 i #s(literal 3 binary64))))) n))
(*.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 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (exp.f64 i)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
(*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.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 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) i)))
Outputs
(*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

2 calls:

13.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
12.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
96.5%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
96.5%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes26.0ms (0.2%)

Memory
16.5MiB live, 16.5MiB allocated; 0ms collecting garbage
Counts
65 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (neg (exp i)) -1) (neg i)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n (*.f64 #s(literal -1/2 binary64) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (*.f64 n n) i) n)) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64)) (-.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (neg.f64 (/.f64 (*.f64 i i) n))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #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 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)) i) #s(literal -100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) (*.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) #s(literal 25/6 binary64)) (pow.f64 i #s(literal 3 binary64))))) n))
(*.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 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (exp.f64 i)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
(*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.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 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
Outputs
(*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

2 calls:

11.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
11.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
95.8%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
95.8%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes25.0ms (0.2%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Counts
61 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (neg (exp i)) -1) (neg i)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n (*.f64 #s(literal -1/2 binary64) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (*.f64 n n) i) n)) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64)) (-.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (neg.f64 (/.f64 (*.f64 i i) n))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #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 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)) i) #s(literal -100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) (*.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) #s(literal 25/6 binary64)) (pow.f64 i #s(literal 3 binary64))))) n))
(*.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 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (exp.f64 i)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
(*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.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 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 n i))
Outputs
(*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

2 calls:

11.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
11.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
95.7%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
95.7%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes81.0ms (0.8%)

Memory
-24.5MiB live, 27.3MiB allocated; 33ms collecting garbage
Counts
58 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (neg (exp i)) -1) (neg i)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n (*.f64 #s(literal -1/2 binary64) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (*.f64 n n) i) n)) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64)) (-.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (neg.f64 (/.f64 (*.f64 i i) n))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #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 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)) i) #s(literal -100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* (+ (* (+ (* 25/6 i) 50/3) i) 50) i) 100) (*.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) #s(literal 25/6 binary64)) (pow.f64 i #s(literal 3 binary64))))) n))
(*.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 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (exp.f64 i)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
(*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.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 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
Calls

4 calls:

41.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
13.0ms
n
13.0ms
i
10.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
78.3%2i
81.8%3n
80.9%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
80.9%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes35.0ms (0.3%)

Memory
19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Counts
39 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (neg (exp i)) -1) (neg i)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n (*.f64 #s(literal -1/2 binary64) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (*.f64 n n) i) n)) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64)) (-.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) (fma.f64 (*.f64 (*.f64 n n) i) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (neg.f64 (/.f64 (*.f64 i i) n))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 i (neg.f64 n)))))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
Calls

4 calls:

9.0ms
n
9.0ms
i
7.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
7.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
59.1%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
59.1%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
65.5%2i
70.0%3n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes7.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Counts
23 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (neg (exp i)) -1) (neg i)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n (*.f64 #s(literal -1/2 binary64) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
Calls

1 calls:

6.0ms
n
Results
AccuracySegmentsBranch
70.0%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.1%)

Memory
-41.9MiB live, 7.7MiB allocated; 3ms 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (neg (exp i)) -1) (neg i)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n (*.f64 #s(literal -1/2 binary64) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) 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)))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
Calls

2 calls:

8.0ms
n
6.0ms
i
Results
AccuracySegmentsBranch
62.9%2i
66.6%3n
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (neg (exp i)) -1) (neg i)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n (*.f64 #s(literal -1/2 binary64) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i))
(/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) (/.f64 i n))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
66.6%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Counts
17 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (neg (exp i)) -1) (neg i)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n (*.f64 #s(literal -1/2 binary64) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
66.2%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Counts
16 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 100 binary64)) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (neg (exp i)) -1) (neg i)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n (*.f64 #s(literal -1/2 binary64) i)))))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
Calls

1 calls:

4.0ms
n
Results
AccuracySegmentsBranch
65.5%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
Calls

4 calls:

3.0ms
n
3.0ms
i
2.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
2.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
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)))
58.3%1i
58.3%1n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes11.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (neg (exp i)) -1) (neg i)) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
Calls

4 calls:

3.0ms
n
3.0ms
i
2.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
2.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
56.5%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
56.5%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
56.5%1i
56.5%1n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes9.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
Calls

4 calls:

2.0ms
i
2.0ms
n
2.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
2.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
53.9%1i
53.9%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
53.9%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)))
53.9%1n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes8.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (neg (exp i)) -1) (neg i)) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
Calls

4 calls:

2.0ms
i
2.0ms
n
2.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
2.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
53.9%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
53.9%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)))
53.9%1n
53.9%1i
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes7.0ms (0.1%)

Memory
-41.5MiB live, 6.2MiB allocated; 1ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
Calls

4 calls:

2.0ms
i
2.0ms
n
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
53.9%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
53.9%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)))
53.9%1n
53.9%1i
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes5.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 #s(literal -1/2 binary64) i))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
Calls

4 calls:

1.0ms
i
1.0ms
n
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
48.0%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
48.0%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
48.0%1n
53.9%2i
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes4.0ms (0%)

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

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
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
48.0%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
48.0%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
48.0%1n
48.0%1i
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.849951731414435e-262
3.932634501293011e-251
0.0ms
-2.703131806008892e-28
-7.445953822412201e-30
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.849951731414435e-262
3.932634501293011e-251
0.0ms
-2.703131806008892e-28
-7.445953822412201e-30
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.849951731414435e-262
3.932634501293011e-251
0.0ms
-2.703131806008892e-28
-7.445953822412201e-30
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.849951731414435e-262
3.932634501293011e-251
0.0ms
-2.703131806008892e-28
-7.445953822412201e-30
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch75.0ms (0.7%)

Memory
19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
6.707859654808027e-206
4.452456198657402e-205
40.0ms
-9.993546730274411e-227
-2.04445158656374e-230
Samples
36.0ms114×2valid
9.0ms161×0invalid
7.0ms49×1valid
4.0ms61×0valid
Compiler

Compiled 592 to 449 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-pow: 17.0ms (38.4% of total)
adjust: 9.0ms (20.3% of total)
ival-div: 9.0ms (20.3% of total)
ival-sub: 3.0ms (6.8% of total)
ival-mult: 3.0ms (6.8% of total)
ival-add: 3.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.707859654808027e-206
4.452456198657402e-205
33.0ms
-1.5507038359842112e-141
-4.132130425238216e-142
Samples
9.0ms11×3valid
9.0ms48×1valid
8.0ms16×2valid
3.0ms49×0invalid
0.0ms0valid
Compiler

Compiled 660 to 468 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-pow: 13.0ms (53.8% of total)
adjust: 4.0ms (16.5% of total)
ival-div: 3.0ms (12.4% of total)
ival-sub: 1.0ms (4.1% of total)
ival-mult: 1.0ms (4.1% of total)
ival-add: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.707859654808027e-206
4.452456198657402e-205
1.0ms
-1.5507038359842112e-141
-4.132130425238216e-142
Compiler

Compiled 612 to 450 computations (26.5% saved)

bsearch117.0ms (1.1%)

Memory
-31.7MiB live, 15.4MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
45.0ms
2.5901374891766526e-10
6.589691469242564e-8
68.0ms
-8.990002400803058e+30
-4.864561721112113e+27
Samples
63.0ms105×1valid
25.0ms52×2valid
7.0ms3valid
6.0ms75×0valid
2.0ms32×0invalid
Compiler

Compiled 828 to 592 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-pow: 69.0ms (75.9% of total)
adjust: 8.0ms (8.8% of total)
ival-div: 7.0ms (7.7% of total)
ival-sub: 3.0ms (3.3% of total)
ival-mult: 3.0ms (3.3% of total)
ival-add: 2.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.5901374891766526e-10
6.589691469242564e-8
1.0ms
-8.990002400803058e+30
-4.864561721112113e+27
Compiler

Compiled 828 to 585 computations (29.3% saved)

bsearch2.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.5901374891766526e-10
6.589691469242564e-8
1.0ms
-8.990002400803058e+30
-4.864561721112113e+27
Compiler

Compiled 858 to 615 computations (28.3% saved)

bsearch2.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.5901374891766526e-10
6.589691469242564e-8
1.0ms
-8.990002400803058e+30
-4.864561721112113e+27
Compiler

Compiled 978 to 705 computations (27.9% saved)

bsearch36.0ms (0.3%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
8.69467668780136e+28
1.941639995370948e+33
Samples
23.0ms109×1valid
3.0ms53×0invalid
1.0ms19×0valid
Compiler

Compiled 442 to 303 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-pow: 10.0ms (45.4% of total)
ival-div: 4.0ms (18.1% of total)
adjust: 3.0ms (13.6% of total)
ival-add: 1.0ms (4.5% of total)
ival-sub: 1.0ms (4.5% of total)
ival-mult: 1.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify47.0ms (0.4%)

Memory
15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01851285
12681281
25241273
318741271
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 7090649168385425/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304 binary64)) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 100 binary64)) (/.f64 i n)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)))))
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 7090649168385425/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304 binary64)) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)))))
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(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 7090649168385425/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)))))
(if (<=.f64 n #s(literal -232153590495145/6828046779268970776657768233698567984276232522051489956245767999246374131525255241237946573692471593720760228447675638216590132893818229842292076597586769967201441361422350907866192164773697561322460176523147880429251325990375896362151810433024 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (if (<=.f64 n #s(literal 1468487258528273/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824 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))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))))
(if (<=.f64 n #s(literal -6178317894117549/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 1468487258528273/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824 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))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) (*.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))))
(if (<=.f64 n #s(literal -6178317894117549/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 1468487258528273/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824 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))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))))
(if (<=.f64 n #s(literal -4900000000000000147572391936 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 4911261142184431/75557863725914323419136 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))))
(if (<=.f64 n #s(literal -4900000000000000147572391936 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 4911261142184431/75557863725914323419136 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))))
(if (<=.f64 n #s(literal -4900000000000000147572391936 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 4911261142184431/75557863725914323419136 binary64)) (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))))
(if (<=.f64 n #s(literal -4900000000000000147572391936 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 4911261142184431/75557863725914323419136 binary64)) (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(approx (+ (* (+ (* 25/6 i) 50/3) i) 50) (*.f64 (*.f64 i i) #s(literal 25/6 binary64))) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) #s(approx (+ (* (* (* n n) i) (- (/ 1/2 n) (/ 1/2 (* n n)))) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
(if (<=.f64 i #s(literal 1099999999999999993725589651456 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Outputs
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 7090649168385425/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304 binary64)) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 100 binary64)) (/.f64 i n)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)))))
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 7090649168385425/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304 binary64)) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 100 binary64)) (/.f64 i n)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) n)))))
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(if (<=.f64 i #s(literal 1099999999999999993725589651456 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) n)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)))
(*.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) (/ i (neg n))) (* (/ i n) -1)) (* (/ i n) (/ i (neg n)))) n))

derivations441.0ms (4.1%)

Memory
-36.0MiB live, 12.4MiB allocated; 3ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 377 to 191 computations (86.1% saved)

preprocess92.0ms (0.8%)

Memory
11.6MiB live, 57.2MiB allocated; 7ms collecting garbage
Compiler

Compiled 2 864 to 438 computations (84.7% saved)

end0.0ms (0%)

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

Profiling

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