Compound Interest

Time bar (total: 11.0s)

start0.0ms (0%)

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

analyze373.0ms (3.4%)

Memory
-13.1MiB live, 329.1MiB allocated; 69ms 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)

sample4.7s (42.4%)

Memory
80.5MiB live, 5 378.0MiB allocated; 1.0s collecting garbage
Samples
2.1s4 532×1valid
1.5s1 720×2valid
238.0ms1 945×0valid
132.0ms2 057×0invalid
70.0ms59×3valid
Precisions
Click to see histograms. Total time spent on operations: 3.5s
ival-pow: 2.3s (63.8% of total)
ival-div: 447.0ms (12.7% of total)
adjust: 377.0ms (10.7% of total)
ival-sub: 177.0ms (5% of total)
ival-add: 139.0ms (3.9% of total)
ival-mult: 109.0ms (3.1% of total)
exact: 11.0ms (0.3% of total)
ival-true: 9.0ms (0.3% of total)
ival-assert: 5.0ms (0.1% of total)
Bogosity

explain383.0ms (3.5%)

Memory
3.6MiB live, 440.7MiB allocated; 33ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1950-0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
6087(-1.5157468740977595e-34 -7.131769332899985e+273)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
570-5(-5.146786161363091e-84 2.2962534377638535e+233)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
20-2(-1.5666562158148842e+205 -2.4864886484841627e-60)(*.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))cancellation1950
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1260
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u520
(/.f64 i n)underflow52
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue210
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow33
(/.f64 i n)overflow21
(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow21
Confusion
Predicted +Predicted -
+2070
-2425
Precision
0.8961038961038961
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+20700
-24025
Precision?
0.8961038961038961
Recall?
1.0
Freqs
test
numberfreq
025
1120
259
352
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
135.0ms182×2valid
99.0ms270×1valid
5.0ms56×0valid
5.0ms3valid
Compiler

Compiled 131 to 34 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 212.0ms
ival-pow: 144.0ms (67.9% of total)
ival-div: 24.0ms (11.3% of total)
adjust: 22.0ms (10.4% of total)
ival-mult: 8.0ms (3.8% of total)
ival-sub: 7.0ms (3.3% of total)
ival-add: 6.0ms (2.8% of total)
ival-assert: 1.0ms (0.5% of total)
ival-true: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)

preprocess184.0ms (1.7%)

Memory
-16.4MiB live, 80.6MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02685
16985
217881
348081
4101077
5282177
6630877
01015
01615
12715
24315
37415
411715
528715
676015
7179315
8264515
9277115
10296115
11320115
12332915
13333715
14333715
15336115
16339715
17340115
18340115
19340115
20340115
0340114
Stop Event
iter limit
saturated
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 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.5%
(*.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)

simplify120.0ms (1.1%)

Memory
36.4MiB live, 36.4MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
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-diff1
(*.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
24356
37456
411756
528756
676056
7179356
8264556
9277156
10296156
11320156
12332956
13333756
14333756
15336156
16339756
17340156
18340156
19340156
20340156
0340155
Stop Event
iter limit
saturated
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 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
#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 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 n i))
(-.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

localize145.0ms (1.3%)

Memory
-27.9MiB live, 19.1MiB allocated; 3ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.10063105950173624
(*.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)))
accuracy12.779180141401605
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
accuracy14.049377039349913
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy44.862322299637896
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
Samples
77.0ms91×2valid
53.0ms135×1valid
3.0ms28×0valid
2.0ms3valid
Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-pow: 82.0ms (73.2% of total)
adjust: 11.0ms (9.8% of total)
ival-div: 9.0ms (8% of total)
ival-add: 3.0ms (2.7% of total)
ival-sub: 3.0ms (2.7% of total)
ival-mult: 3.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms 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
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 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))))))))
(+ (* 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))))))))))
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 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)))))))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(* 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))))))
1
(+ 1 i)
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/ (+ (* 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)
(/ (+ (* 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)
(/ (+ (* 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)
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
(/ (+ (* 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)
(/ (+ (* 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)
(/ (+ (* 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)
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)
(- (+ (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)
(- (+ (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)
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+ (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)))
(+ (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))))
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))
(* -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))
(* -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))
(* -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))
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)
(* -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))
(* -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))
(* -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))
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
(- (+ (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)
(- (+ (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)
(- (+ (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)
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (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)))
(+ (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)))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(* (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))))
(* (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))))))))
(* (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)))))))))))
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)
(* (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))))
(* (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))))
(* (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))))
(* n (+ (log i) (* -1 (log n))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(* 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)))))))
(* 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)))))))
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 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))))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* 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)))))
(* 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))))))
(/ (* n (- (exp i) 1)) i)
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
(* 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)))
(* 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)))
(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (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)
(- (+ (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)
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (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))))
(+ (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 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -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)))))
(* -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)))))
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
(* -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)))))
(* -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)))))
(- (+ (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)
(- (+ (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)
(+ (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)))
(+ (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
4.0ms
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))
3.0ms
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))
2.0ms
i
@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))

simplify147.0ms (1.3%)

Memory
3.7MiB live, 48.2MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05153779
118463384
083763118
Stop Event
iter limit
node limit
Counts
89 → 87
Calls
Call 1
Inputs
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 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))))))))
(+ (* 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))))))))))
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 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)))))))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(* 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))))))
1
(+ 1 i)
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(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
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(/ (+ (* 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)
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
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(/ (+ (* 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)
(/ (+ (* 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)
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
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(- (+ (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)
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
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(+ (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)))
(+ (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))))
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))
(* -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))
(* -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))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
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(* -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))
(* -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))
(* -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))
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(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(* (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))))
(* (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))))))))
(* (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)))))))))))
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)
(* (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))))
(* (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))))
(* (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))))
(* n (+ (log i) (* -1 (log n))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(* 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)))))))
(* 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)))))))
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 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))))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* 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)))))
(* 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))))))
(/ (* n (- (exp i) 1)) i)
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
(* 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)))
(* 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)))
(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (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)
(- (+ (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)
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (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))))
(+ (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 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -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)))))
(* -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)))))
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
(* -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)))))
(* -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)))))
(- (+ (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)
(- (+ (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)
(+ (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)))
(+ (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
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 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))))))))
(fma.f64 (*.f64 #s(literal 100 binary64) i) (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))
(+ (* 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))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (*.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)))) i (*.f64 #s(literal 100 binary64) n))
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 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)
(+ 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)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(*.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)
(* 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))))))
(fma.f64 (*.f64 i i) (fma.f64 (-.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) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) i (+.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)
1
#s(literal 1 binary64)
(+ 1 i)
(+.f64 #s(literal 1 binary64) i)
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 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))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(*.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n i)) #s(literal 100 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)
(/.f64 (*.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))) #s(literal 100 binary64)) i)
(/ (+ (* 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)
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n)) (*.f64 i i))) (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (pow.f64 n #s(literal 3 binary64)) i)))) i)
(/ (+ (* 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)
(/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))))) (*.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))) #s(literal 100 binary64))) i)
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
(*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n i))
(/ (+ (* 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)
(/.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))) i)
(/ (+ (* 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)
(/.f64 (fma.f64 n (+.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n)) (*.f64 i i))) (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))) i)
(/ (+ (* 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)
(/.f64 (fma.f64 n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))))) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (pow.f64 n #s(literal 3 binary64)) i)))) i)
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
(expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)
(fma.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (*.f64 n n) i) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))
(- (+ (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)
(+.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (*.f64 n n) i) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n)) (*.f64 i i))) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))
(- (+ (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)
(+.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))) (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (*.f64 n n) i))) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n)
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(fma.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n))
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rewrite197.0ms (1.8%)

Memory
-7.2MiB live, 49.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
01644
16444
241744
3466944
0850138
Stop Event
iter limit
node limit
iter limit
Counts
4 → 264
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 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) (neg.f64 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)) (neg.f64 i)) (*.f64 (neg.f64 n) #s(literal 100 binary64)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 #s(literal 100 binary64) (/.f64 (neg.f64 i) n)))
(*.f64 (neg.f64 n) (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(*.f64 n (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)))
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (neg.f64 n)) (neg.f64 i))
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) (*.f64 n #s(literal 100 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) (*.f64 n #s(literal 100 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 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 n #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i)
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) #s(literal 100 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 i n) #s(literal -3 binary64))) #s(literal 100 binary64)) (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64)) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) i)
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i 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 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 i n) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 i n))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) #s(literal 100 binary64)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) #s(literal 100 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 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.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 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)))
(neg.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 (neg.f64 i) n)))
(neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n))
(neg.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (neg.f64 i) n))))
(neg.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (neg.f64 i) n)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 (*.f64 (neg.f64 i) i) n)) (neg.f64 n))
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n)
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 n) n))
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 i i)) (*.f64 n n))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (/.f64 i n)) (/.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 (/.f64 (+.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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (neg.f64 n))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))))
(*.f64 (neg.f64 n) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(/.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (fabs.f64 (/.f64 i n))) (fabs.f64 (/.f64 i n)))
(/.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n))
(/.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (/.f64 i n))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) 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 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) 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 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) (neg.f64 i))
(/.f64 (*.f64 n (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n))))) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i))
(/.f64 (*.f64 n (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i 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 n (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) (neg.f64 i))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64)))) (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))))
(/.f64 (neg.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 (/.f64 i n) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 n)) (neg.f64 i))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 i) n)) (*.f64 (/.f64 (neg.f64 i) n) #s(literal -1 binary64))) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) (/.f64 (neg.f64 i) n))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i)
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i 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 9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) 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 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) 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 6 binary64))) (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) #s(literal 1 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 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 i n) #s(literal -3 binary64))) (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n))))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 i n)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n))))) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 (neg.f64 i) n)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n))))) (neg.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n))))) (*.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 i n)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i 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)) (/.f64 (neg.f64 i) n)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n))))) (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)) (/.f64 i n))))
(/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 (neg.f64 i) n)))
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(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 n #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 4 binary64)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 4 binary64)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 n #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 4 binary64)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 n #s(literal 4 binary64)) (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 n #s(literal 2 binary64)) (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64))) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (exp.f64 n) (log.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))))) (pow.f64 (exp.f64 n) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n))))))
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 i n) #s(literal 3 binary64))))) (pow.f64 (exp.f64 n) (log.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 i n) #s(literal 1 binary64))))))
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 (neg.f64 i) n))))
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 (fma.f64 (/.f64 i n) i i) n))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(neg.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(fma.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n)))) (cosh.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(sqrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(fabs.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 i n))) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 n)) (log1p.f64 (/.f64 i n))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 i n))) (/.f64 n #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 i n))) (/.f64 n #s(literal 2 binary64)))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 i n))) (/.f64 n #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (*.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)))) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)) (*.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(+.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))

eval57.0ms (0.5%)

Memory
6.5MiB live, 51.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 11 753 to 1 625 computations (86.2% saved)

prune27.0ms (0.2%)

Memory
-13.4MiB live, 33.6MiB allocated; 2ms collecting garbage
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New32922351
Fresh000
Picked011
Done000
Total32923352
Accuracy
100.0%
Counts
352 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.8%
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i)
62.0%
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
69.3%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
69.2%
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
16.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
22.5%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
9.7%
(*.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)))
12.7%
(*.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)))
16.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
18.0%
(*.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)))
37.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.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)) (/.f64 i n)))
40.7%
(*.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)))
13.8%
(*.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)))
55.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
46.7%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n))
57.0%
(*.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)))
59.7%
(*.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)))
74.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
14.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
57.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) i) (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)))
74.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
14.5%
#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)))
53.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Compiler

Compiled 1 081 to 716 computations (33.8% saved)

simplify143.0ms (1.3%)

Memory
9.9MiB live, 106.8MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
037338
062338
1106338
2191338
3387338
41083338
54800338
08128338
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
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) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
#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))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
i
(log.f64 n)
n
(/.f64 i n)
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)) #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
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))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) n)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
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 (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))) n (neg.f64 n)) i) #s(literal 100 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 (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))) n (neg.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))
#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) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) n) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))
#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 (/.f64 n i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
i
(log.f64 n)
n
(/.f64 i n)

localize120.0ms (1.1%)

Memory
-8.3MiB live, 181.6MiB allocated; 13ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)
accuracy0.18537914135753522
(-.f64 (log.f64 i) (log.f64 n))
accuracy3.2878620950900257
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))
accuracy13.524056806011544
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
accuracy0.0
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
accuracy0.0
(expm1.f64 i)
accuracy0.00390625
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
accuracy9.152684320700587
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
accuracy0.030497480164287515
(*.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)))
accuracy3.2878620950900257
(/.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))
accuracy9.604553854031733
#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)))
accuracy16.443452710768387
(-.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))
accuracy0.0
(*.f64 #s(literal 100 binary64) n)
accuracy12.982293222680667
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
accuracy0.0
(expm1.f64 i)
accuracy0.00390625
(*.f64 (/.f64 (expm1.f64 i) i) n)
accuracy0.030497480164287515
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
accuracy9.145997936739624
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n))
Samples
36.0ms166×0invalid
32.0ms52×1valid
24.0ms29×2valid
2.0ms0valid
1.0ms3valid
Compiler

Compiled 258 to 29 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-pow: 20.0ms (28.4% of total)
ival-mult: 13.0ms (18.4% of total)
ival-div: 11.0ms (15.6% of total)
adjust: 10.0ms (14.2% of total)
ival-add: 5.0ms (7.1% of total)
ival-sub: 5.0ms (7.1% of total)
ival-log: 5.0ms (7.1% of total)
ival-expm1: 2.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series167.0ms (1.5%)

Memory
11.2MiB live, 292.5MiB allocated; 24ms collecting garbage
Counts
19 → 117
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(/.f64 (expm1.f64 i) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) 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 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)
(expm1.f64 i)
(-.f64 (log.f64 i) (log.f64 n))
Outputs
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 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))))))))
(+ (* 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))))))))))
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 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)))))))
(+ n (* 1/2 (* i n)))
(+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))
(+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))
1
(+ 1 (* 1/2 i))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(* 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))))))
(+ 1 i)
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
100
(+ 100 (* 50 i))
(+ 100 (* i (+ 50 (* 50/3 i))))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(* n (- (log i) (log n)))
(* i (+ 1 (* 1/2 i)))
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(- (log i) (log n))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/ (+ (* 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)
(/ (+ (* 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)
(/ (+ (* 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)
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
(/ (+ (* 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)
(/ (+ (* 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)
(/ (+ (* 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)
(/ (* n (- (exp i) 1)) i)
(/ (- (exp i) 1) i)
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)
(- (+ (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)
(- (+ (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)
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+ (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)))
(+ (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))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (- (exp i) 1) i))
(* n (- (* -1 (log (/ 1 i))) (log n)))
(- (exp i) 1)
(- (* -1 (log (/ 1 i))) (log n))
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))
(* -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))
(* -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))
(* -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))
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)
(* -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))
(* -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))
(* -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))
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
(- (+ (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)
(- (+ (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)
(- (+ (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)
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (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)))
(+ (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)))
(* n (- (+ (log -1) (* -1 (log (/ -1 i)))) (log n)))
(- (+ (log -1) (* -1 (log (/ -1 i)))) (log n))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(* (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))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
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(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))
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(exp i)
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(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
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(* -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)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
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(* -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)))))
(* -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)))))
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(* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))))
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Calls

6 calls:

TimeVariablePointExpression
49.0ms
n
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (- (exp i) 1) i) n) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 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) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (- (log i) (log n)) n) (- (exp i) 1) (- (log i) (log n)))
43.0ms
i
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (- (exp i) 1) i) n) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 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) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (- (log i) (log n)) n) (- (exp i) 1) (- (log i) (log n)))
22.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (- (exp i) 1) i) n) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 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) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (- (log i) (log n)) n) (- (exp i) 1) (- (log i) (log n)))
17.0ms
i
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (- (exp i) 1) i) n) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 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) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (- (log i) (log n)) n) (- (exp i) 1) (- (log i) (log n)))
17.0ms
n
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (- (exp i) 1) i) n) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 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) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (- (log i) (log n)) n) (- (exp i) 1) (- (log i) (log n)))

simplify226.0ms (2.1%)

Memory
27.8MiB live, 304.5MiB allocated; 78ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05894048
121333644
082803343
Stop Event
iter limit
node limit
Counts
117 → 115
Calls
Call 1
Inputs
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n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
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1
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i
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100
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(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
(- (+ (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)
(- (+ (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)
(- (+ (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)
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (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)))
(+ (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)))
(* n (- (+ (log -1) (* -1 (log (/ -1 i)))) (log n)))
(- (+ (log -1) (* -1 (log (/ -1 i)))) (log n))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(* (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))))
(* (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))))))))
(* (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)))))))))))
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)
(* (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))))
(* (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))))
(* (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))))
(* n (+ (log i) (* -1 (log n))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(* 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)))))))
(* 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)))))))
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 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))))))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* 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)))))
(* 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))))))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
(* 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)))
(* 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)))
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (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)
(- (+ (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)
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (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))))
(+ (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)))))
(* n (- (log i) (* -1 (log (/ 1 n)))))
(- (log i) (* -1 (log (/ 1 n))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -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)))))
(* -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)))))
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
(* -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)))))
(* -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)))))
(- (+ (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)
(- (+ (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)
(+ (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)))
(+ (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)))
(* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))))
(- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))
Outputs
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 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))
(+ (* 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))))))))
(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))
(+ (* 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))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (*.f64 (*.f64 i #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 #s(literal 100 binary64) n))
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 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)
(+ 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)))))))
(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)
(+ n (* 1/2 (* i n)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n)
(+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))
(fma.f64 (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i n)
(+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))
(fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 i))
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 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))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(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)
(* 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))))))
(fma.f64 (*.f64 i i) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.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)
(+ 1 i)
(+.f64 i #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 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))
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 #s(literal 100 binary64) n))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))
100
#s(literal 100 binary64)
(+ 100 (* 50 i))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* 50/3 i))))
(fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(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 (- (log i) (log n)))
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)
(* i (+ 1 (* 1/2 i)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)
(- (log i) (log n))
(-.f64 (log.f64 i) (log.f64 n))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (*.f64 #s(literal 100 binary64) n)) i)
(/ (+ (* 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)
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i))) i)
(/ (+ (* 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)
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n)) (*.f64 i i))) (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i))) i)
(/ (+ (* 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)
(/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))))) (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i)))) i)
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(* -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)))))
(*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (exp.f64 i) 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))) (neg.f64 n))))
(* -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)))))
(*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (*.f64 #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)) (*.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)))) (neg.f64 n))) (neg.f64 n))))
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp 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))))
(* -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)))))
(*.f64 (neg.f64 n) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.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))) i) (/.f64 (exp.f64 i) n))) (neg.f64 n)) (/.f64 (expm1.f64 i) i)))
(* -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)))))
(*.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)))
(- (+ (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)
(+.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))
(- (+ (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)
(+.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))
(+ (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)))
(-.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))
(+ (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)))
(-.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))
(* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))))
(*.f64 (-.f64 (log.f64 i) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) n)
(- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))
(-.f64 (log.f64 i) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))

rewrite156.0ms (1.4%)

Memory
25.7MiB live, 150.6MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037279
062274
1219274
21414274
08155260
Stop Event
iter limit
node limit
iter limit
Counts
19 → 220
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(/.f64 (expm1.f64 i) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) 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 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)
(expm1.f64 i)
(-.f64 (log.f64 i) (log.f64 n))
Outputs
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 i)) n)) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 n (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 i) n))) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 i i))) n) (*.f64 (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))) i))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64)))) n) (*.f64 (neg.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) i))
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) n) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) n) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) n) (*.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i))
(/.f64 (*.f64 n (neg.f64 (expm1.f64 i))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) n)) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 i) n) i)
(*.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (/.f64 (expm1.f64 i) i))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (pow.f64 i #s(literal -2 binary64)))) (neg.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 3 binary64)) (pow.f64 i #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (exp.f64 i) (*.f64 i i))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 i) i) (*.f64 i #s(literal 1 binary64)))) (neg.f64 (*.f64 i i)))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 i)) (neg.f64 i)) (*.f64 (neg.f64 i) #s(literal -1 binary64))) (*.f64 i i))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 i)) i) (*.f64 (neg.f64 i) #s(literal 1 binary64))) (*.f64 (neg.f64 i) i))
(/.f64 (-.f64 (*.f64 (exp.f64 i) (neg.f64 i)) (*.f64 i #s(literal -1 binary64))) (*.f64 i (neg.f64 i)))
(/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (pow.f64 i #s(literal -2 binary64))) (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 3 binary64)) (pow.f64 i #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (exp.f64 i) (*.f64 i i)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 i i))) (neg.f64 (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 i))) (neg.f64 (neg.f64 i)))
(/.f64 (-.f64 (*.f64 (exp.f64 i) i) (*.f64 i #s(literal 1 binary64))) (*.f64 i i))
(/.f64 (expm1.f64 (+.f64 i i)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i))
(/.f64 (neg.f64 (expm1.f64 i)) (neg.f64 i))
(/.f64 (expm1.f64 i) i)
(neg.f64 (/.f64 (neg.f64 (expm1.f64 i)) i))
(neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) (/.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (exp.f64 i) (*.f64 i i))))) (/.f64 (pow.f64 i #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (exp.f64 i) (*.f64 i i))))))
(-.f64 (/.f64 (*.f64 (exp.f64 i) i) (*.f64 i i)) (/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 i i)))
(-.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(-.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 3 binary64)) (*.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i) (/.f64 (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #s(literal -1 binary64)) i))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 3 binary64)) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) i) (/.f64 (pow.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) #s(literal -1 binary64)) i))
(-.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64)))
(+.f64 (/.f64 (cosh.f64 i) i) (/.f64 (-.f64 (sinh.f64 i) #s(literal 1 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) 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)) #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(*.f64 (/.f64 #s(literal 100 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)) #s(literal 1 binary64)))
(*.f64 (/.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)) #s(literal 100 binary64)) (neg.f64 i)) (neg.f64 n))
(*.f64 (/.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)) #s(literal 100 binary64)) i) n)
(*.f64 (*.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)) 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))) #s(literal 1 binary64)) i) (*.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))) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 100 binary64))
(*.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 (neg.f64 (*.f64 (neg.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))) #s(literal 100 binary64))) (/.f64 i n))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (neg.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 (neg.f64 (neg.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)) #s(literal 100 binary64)))) (/.f64 i n))
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(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 i i)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
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(/.f64 (expm1.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
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(expm1.f64 i)
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(/.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (log.f64 (*.f64 n i)))
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(-.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))))
(-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n)))
(-.f64 (log.f64 i) (log.f64 n))
(+.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (log.f64 (*.f64 n i))) (/.f64 (*.f64 (neg.f64 (log.f64 n)) (log.f64 n)) (log.f64 (*.f64 n i))))
(+.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))

eval77.0ms (0.7%)

Memory
-18.0MiB live, 35.0MiB allocated; 31ms collecting garbage
Compiler

Compiled 16 568 to 1 856 computations (88.8% saved)

prune26.0ms (0.2%)

Memory
-26.3MiB live, 25.3MiB allocated; 3ms collecting garbage
Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New37115386
Fresh8917
Picked415
Done011
Total38326409
Accuracy
100.0%
Counts
409 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.8%
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i)
69.3%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
69.2%
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
16.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
22.5%
(*.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)))
12.1%
(*.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 (neg.f64 i) n)) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 (neg.f64 i) n))))
16.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
18.0%
(*.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)))
16.2%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
55.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
46.7%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n))
59.7%
(*.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)))
14.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
59.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n)))
62.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
60.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i n))))
71.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
63.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) n))
74.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
74.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))))
14.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
62.4%
#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))
60.0%
#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))
59.8%
#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))
53.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
62.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
Compiler

Compiled 1 288 to 845 computations (34.4% saved)

simplify93.0ms (0.8%)

Memory
31.5MiB live, 31.5MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) n)
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) n))
cost-diff1
(*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)
cost-diff6
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
cost-diff0
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
cost-diff0
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)
cost-diff0
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
cost-diff0
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #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) #s(literal 1 binary64)) #s(literal 1 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
(expm1.f64 i)
cost-diff0
(/.f64 (expm1.f64 i) i)
cost-diff0
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042299
065285
1124285
2273285
3705278
43479278
08267277
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))))
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
(*.f64 n #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 #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(literal 100 binary64)
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 i n)
i
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(expm1.f64 i)
i
#s(literal 100 binary64)
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) n))
(*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) n)
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64))
(expm1.f64 (+.f64 i i))
(+.f64 i i)
i
#s(literal 100 binary64)
(*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)
(+.f64 (exp.f64 i) #s(literal 1 binary64))
(exp.f64 i)
#s(literal 1 binary64)
n
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 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 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
(*.f64 n #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 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) n) (/.f64 #s(literal 100 binary64) i))
#s(literal 100 binary64)
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
(*.f64 (/.f64 n i) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 i n)
i
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
#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) #s(literal 100 binary64)) n) i)
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)
(*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64))
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(expm1.f64 i)
i
#s(literal 100 binary64)
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) 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 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64))
(*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) i)) #s(literal 100 binary64))
(expm1.f64 (+.f64 i i))
(expm1.f64 (*.f64 #s(literal 2 binary64) i))
(+.f64 i i)
(*.f64 #s(literal 2 binary64) i)
i
#s(literal 100 binary64)
(*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)
(fma.f64 (exp.f64 i) i i)
(+.f64 (exp.f64 i) #s(literal 1 binary64))
(exp.f64 i)
#s(literal 1 binary64)
n

localize192.0ms (1.7%)

Memory
-2.3MiB live, 44.9MiB allocated; 1ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64))
accuracy0.05859375
(*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) n)
accuracy0.71875
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
accuracy9.059812087663817
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) n))
accuracy0.01953125
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
accuracy0.125
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)
accuracy7.051438523949013
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
accuracy9.059812087663817
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
accuracy0.07013357933744874
(*.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)))
accuracy7.43579865952862
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
accuracy12.741738881633163
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
accuracy39.51092069822559
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy0.0
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
accuracy0.05859375
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
accuracy9.059812087663817
#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))
accuracy11.802567458103908
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
accuracy0.0
(expm1.f64 i)
accuracy0.0078125
(/.f64 (expm1.f64 i) i)
accuracy0.07421875
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
accuracy9.059812087663817
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))))
Samples
82.0ms80×2valid
58.0ms103×1valid
12.0ms55×0exit
4.0ms3valid
3.0ms15×0valid
1.0ms5exit
Compiler

Compiled 262 to 32 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-pow: 63.0ms (48.2% of total)
adjust: 18.0ms (13.8% of total)
ival-mult: 17.0ms (13% of total)
ival-div: 14.0ms (10.7% of total)
ival-expm1: 6.0ms (4.6% of total)
ival-add: 6.0ms (4.6% of total)
ival-exp: 3.0ms (2.3% of total)
ival-sub: 3.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Counts
21 → 134
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))))
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 i) i)
(expm1.f64 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))
(*.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 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) n))
(*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) n)
(*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64))
Outputs
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 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))))))))
(+ (* 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))))))))))
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Calls

6 calls:

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

simplify142.0ms (1.3%)

Memory
5.1MiB live, 50.7MiB allocated; 4ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06504309
123933876
086843527
Stop Event
iter limit
node limit
Counts
134 → 132
Calls
Call 1
Inputs
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1
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i
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(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (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))))
(+ (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 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -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)))))
(* -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)))))
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
(* -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)))))
(* -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)))))
(- (+ (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)
(- (+ (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)
(+ (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)))
(+ (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
(* 100 n)
(*.f64 n #s(literal 100 binary64))
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(+ (* 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))))))))
(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 n #s(literal 100 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))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (*.f64 (*.f64 i #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 n #s(literal 100 binary64)))
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 i))
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 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))
i
(* i (+ 1 (* 1/2 i)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)
100
#s(literal 100 binary64)
(+ 100 (* 50 i))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* 50/3 i))))
(fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(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
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 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)
(+ 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)))))))
(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)
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(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)
(* 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))))))
(fma.f64 (*.f64 i i) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.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)
(+ 1 i)
(+.f64 i #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 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))
(* 100 (* i n))
(*.f64 (*.f64 i #s(literal 100 binary64)) n)
(* i (+ (* 50 (* i n)) (* 100 n)))
(*.f64 (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) i)
(* i (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n)))))
(*.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))) i)
(* i (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))) i)
(* 100 i)
(*.f64 i #s(literal 100 binary64))
(* i (+ 100 (* 50 i)))
(*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) i)
(* i (+ 100 (* i (+ 50 (* 50/3 i)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) i)
(* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 (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)) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* i (+ 2 i))
(*.f64 (+.f64 #s(literal 2 binary64) i) i)
(* i (+ 2 (* i (+ 1 (* 1/2 i)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i #s(literal 2 binary64)) i)
(* i (+ 2 (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i #s(literal 2 binary64)) i)
(+ (* 100 n) (* 100 (* i (- n (* 1/2 n)))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) n) i n))
(+ (* 100 n) (* i (+ (* 100 (* i (- (* 2/3 n) (+ (* 1/4 n) (* 1/2 (- n (* 1/2 n))))))) (* 100 (- n (* 1/2 n))))))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) i (*.f64 #s(literal 1/2 binary64) n))) i (*.f64 n #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 100 (- n (* 1/2 n))) (* i (+ (* 100 (* i (- (* 1/3 n) (+ (* 1/12 n) (+ (* 1/4 (- n (* 1/2 n))) (* 1/2 (- (* 2/3 n) (+ (* 1/4 n) (* 1/2 (- n (* 1/2 n))))))))))) (* 100 (- (* 2/3 n) (+ (* 1/4 n) (* 1/2 (- n (* 1/2 n)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))
(* 200 i)
(*.f64 #s(literal 200 binary64) i)
(* i (+ 200 (* 200 i)))
(*.f64 (fma.f64 #s(literal 200 binary64) i #s(literal 200 binary64)) i)
(* i (+ 200 (* i (+ 200 (* 400/3 i)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 400/3 binary64) i #s(literal 200 binary64)) i #s(literal 200 binary64)) i)
(* i (+ 200 (* i (+ 200 (* i (+ 400/3 (* 200/3 i)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 200/3 binary64) i #s(literal 400/3 binary64)) i #s(literal 200 binary64)) i #s(literal 200 binary64)) i)
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) i)
(/ (+ (* 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)
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i))) i)
(/ (+ (* 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)
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n)) (*.f64 i i))) (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i))) i)
(/ (+ (* 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)
(/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))))) (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i)))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 n (/.f64 (expm1.f64 i) i)) #s(literal 100 binary64))
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(- (exp i) 1)
(expm1.f64 i)
(* 100 (/ (- (exp i) 1) i))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(* 50 i)
(*.f64 #s(literal 50 binary64) i)
(* i (+ 50 (* 100 (/ 1 i))))
(*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i)
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
(*.f64 n (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) i))
(/ (+ (* 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)
(/.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i)) i)
(/ (+ (* 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)
(/.f64 (fma.f64 n (+.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n)) (*.f64 i i))) (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i)) i)
(/ (+ (* 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)
(/.f64 (fma.f64 n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))))) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i))) i)
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
(expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)
(fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) i) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))
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(*.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)))
(- (+ (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)
(+.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))
(- (+ (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)
(+.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))
(+ (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)))
(-.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))
(+ (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)))
(-.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))

rewrite144.0ms (1.3%)

Memory
-41.6MiB live, 54.2MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042260
065237
1223237
21392237
09864229
Stop Event
iter limit
node limit
iter limit
Counts
21 → 542
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))))
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 i) i)
(expm1.f64 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))
(*.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 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) n))
(*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) n)
(*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)))
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) i) (/.f64 n (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(*.f64 (/.f64 n (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) i))
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (/.f64 n (neg.f64 i)))
(*.f64 (/.f64 n (neg.f64 i)) (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (*.f64 n (expm1.f64 i)) (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i))
(*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (/.f64 (*.f64 (expm1.f64 i) n) i))
(*.f64 (/.f64 n (+.f64 (exp.f64 i) #s(literal 1 binary64))) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i))
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 (expm1.f64 i) n) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) (/.f64 n (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (/.f64 n (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (expm1.f64 i) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(*.f64 (expm1.f64 i) (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i) n))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 100 binary64) i) n))
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 (*.f64 n #s(literal 100 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 n (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (neg.f64 (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (*.f64 (neg.f64 n) (*.f64 #s(literal -100 binary64) (expm1.f64 i))) (*.f64 (neg.f64 i) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) (neg.f64 n)) (*.f64 (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))) (neg.f64 i)))
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (neg.f64 (expm1.f64 i))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n)) (neg.f64 (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (neg.f64 i))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n)) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) (*.f64 i (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i))))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) (*.f64 (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)) i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n) (*.f64 (neg.f64 i) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i))))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n) (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)) (neg.f64 i)))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n) (*.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i))) i))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (neg.f64 i)))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n) (neg.f64 i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n) i))
(neg.f64 (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) (neg.f64 i)))
(*.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i) (expm1.f64 i))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 i))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (pow.f64 i #s(literal -2 binary64)))) (neg.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 3 binary64)) (pow.f64 i #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (exp.f64 i) (*.f64 i i))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 i) i) (*.f64 i #s(literal 1 binary64)))) (neg.f64 (*.f64 i i)))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 i)) (neg.f64 i)) (*.f64 (neg.f64 i) #s(literal -1 binary64))) (*.f64 i i))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 i)) i) (*.f64 (neg.f64 i) #s(literal 1 binary64))) (*.f64 (neg.f64 i) i))
(/.f64 (-.f64 (*.f64 (exp.f64 i) (neg.f64 i)) (*.f64 i #s(literal -1 binary64))) (*.f64 i (neg.f64 i)))
(/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (pow.f64 i #s(literal -2 binary64))) (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 3 binary64)) (pow.f64 i #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (exp.f64 i) (*.f64 i i)))))
(/.f64 (neg.f64 (expm1.f64 i)) (neg.f64 (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)) i)))
(/.f64 (neg.f64 (expm1.f64 i)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (neg.f64 i)))
(/.f64 (neg.f64 (expm1.f64 i)) (neg.f64 i))
(/.f64 (-.f64 (*.f64 (exp.f64 i) i) (*.f64 i #s(literal 1 binary64))) (*.f64 i i))
(/.f64 (expm1.f64 i) (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)) i))
(/.f64 (expm1.f64 i) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(/.f64 (expm1.f64 i) i)
(neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 i)) i))
(-.f64 (/.f64 (/.f64 (fabs.f64 (exp.f64 i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i) (/.f64 (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #s(literal -1 binary64)) i))
(-.f64 (/.f64 (/.f64 (fabs.f64 (exp.f64 i)) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i))) i) (/.f64 (pow.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)) #s(literal -1 binary64)) i))
(-.f64 (/.f64 (fabs.f64 (exp.f64 i)) i) (pow.f64 i #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) (/.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (exp.f64 i) (*.f64 i i))))) (/.f64 (pow.f64 i #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (exp.f64 i) (*.f64 i i))))))
(-.f64 (/.f64 (*.f64 (exp.f64 i) i) (*.f64 i i)) (/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 i i)))
(-.f64 (/.f64 (fabs.f64 (exp.f64 i)) (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)) i)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)) i)))
(-.f64 (/.f64 (/.f64 (fabs.f64 (exp.f64 i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) (/.f64 (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(-.f64 (/.f64 (/.f64 (fabs.f64 (exp.f64 i)) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i))) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) (/.f64 (pow.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(-.f64 (/.f64 (fabs.f64 (exp.f64 i)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(-.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64)))
(+.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) i)) i) (/.f64 (-.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) i))
(+.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) i)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) (/.f64 (-.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(+.f64 (/.f64 (cosh.f64 i) i) (/.f64 (-.f64 (sinh.f64 i) #s(literal 1 binary64)) i))
(*.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (/.f64 (expm1.f64 i) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (expm1.f64 i))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)))
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) i) (/.f64 n (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(*.f64 (/.f64 n (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) i))
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (/.f64 n (neg.f64 i)))
(*.f64 (/.f64 n (neg.f64 i)) (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (*.f64 n (expm1.f64 i)) (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i))
(*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (/.f64 (*.f64 (expm1.f64 i) n) i))
(*.f64 (/.f64 n (+.f64 (exp.f64 i) #s(literal 1 binary64))) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i))
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 (expm1.f64 i) n) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) (/.f64 n (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (/.f64 n (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (expm1.f64 i) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(*.f64 (expm1.f64 i) (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i) n))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 100 binary64) i) n))
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 (*.f64 n #s(literal 100 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 n (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (neg.f64 (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (*.f64 (neg.f64 n) (*.f64 #s(literal -100 binary64) (expm1.f64 i))) (*.f64 (neg.f64 i) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) (neg.f64 n)) (*.f64 (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))) (neg.f64 i)))
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (neg.f64 (expm1.f64 i))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n)) (neg.f64 (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (neg.f64 i))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n)) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) (*.f64 i (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i))))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) (*.f64 (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)) i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n) (*.f64 (neg.f64 i) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i))))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n) (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)) (neg.f64 i)))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n) (*.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i))) i))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (neg.f64 i)))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n) (neg.f64 i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n) i))
(neg.f64 (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) (neg.f64 i)))
(*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) (expm1.f64 i))) (expm1.f64 i))
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (/.f64 (expm1.f64 i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (expm1.f64 i))
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (-.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i))))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (-.f64 (fabs.f64 (exp.f64 i)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)) #s(literal 2 binary64)))) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (-.f64 (fabs.f64 (exp.f64 i)) (-.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (+.f64 (fabs.f64 (exp.f64 i)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (+.f64 (fabs.f64 (exp.f64 i)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)) #s(literal 2 binary64)) (*.f64 (fabs.f64 (exp.f64 i)) (-.f64 #s(literal 1 binary64) (exp.f64 i)))))))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (neg.f64 (expm1.f64 i))) (*.f64 (expm1.f64 i) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (neg.f64 (expm1.f64 i))) (*.f64 (expm1.f64 i) (neg.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)))))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (expm1.f64 i)) (*.f64 (expm1.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (expm1.f64 i)) (*.f64 (expm1.f64 i) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i))))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (expm1.f64 i)) (*.f64 (expm1.f64 i) (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i))) (neg.f64 (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) (*.f64 (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) (*.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i))) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) (neg.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i))))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 i)))

eval73.0ms (0.7%)

Memory
14.8MiB live, 59.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 25 737 to 3 067 computations (88.1% saved)

prune35.0ms (0.3%)

Memory
-7.2MiB live, 40.6MiB allocated; 1ms collecting garbage
Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New63614650
Fresh11819
Picked325
Done022
Total64036676
Accuracy
100.0%
Counts
676 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.8%
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i)
18.4%
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
69.3%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
69.2%
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
16.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
22.5%
(*.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)))
12.1%
(*.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 (neg.f64 i) n)) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 (neg.f64 i) n))))
16.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
16.2%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
55.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
15.7%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
46.7%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n))
59.7%
(*.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)))
14.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
59.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n)))
62.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
60.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i n))))
59.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) n) i))
59.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i))
56.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i))
60.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) #s(approx (* (+ (exp i) 1) i) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i #s(literal 2 binary64)) i))) n))
66.7%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) #s(approx (* (+ (exp i) 1) i) (*.f64 #s(literal 2 binary64) i))) n))
74.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
74.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))))
14.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
71.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)))
60.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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))) (*.f64 n #s(literal 100 binary64))))
59.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))))
62.4%
#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))
60.0%
#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))
59.8%
#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))
59.8%
#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 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n))
14.1%
#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))
53.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
62.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
62.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
Compiler

Compiled 2 017 to 1 303 computations (35.4% saved)

simplify96.0ms (0.9%)

Memory
32.8MiB live, 32.8MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
cost-diff1
(*.f64 (/.f64 #s(literal -1 binary64) i) n)
cost-diff1
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
cost-diff2
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))
cost-diff2
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))
cost-diff3
(fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n)))
cost-diff4
(-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64))))
cost-diff5
(fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))
cost-diff0
#s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))
cost-diff0
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i)))
cost-diff0
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #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 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) 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
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
cost-diff0
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
cost-diff0
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070665
0108631
1223553
2604513
31994471
08464452
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(expm1.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 (+ (* 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) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i)))
#s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))
(*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i)
(+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64))
(/.f64 #s(literal 100 binary64) i)
#s(literal 100 binary64)
i
#s(literal 50 binary64)
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64))))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n)))))
#s(literal 100 binary64)
(fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))
(-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/4 binary64) n)
#s(literal 1/4 binary64)
n
(fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))
(fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n)))
#s(literal 5/12 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64))
i
(*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
#s(literal 100 binary64)
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
i
n
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) i) n)
(/.f64 #s(literal -1 binary64) i)
#s(literal -1 binary64)
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 #s(literal 100 binary64) i)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(*.f64 (*.f64 (expm1.f64 i) n) (/.f64 #s(literal 100 binary64) i))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(expm1.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 (+ (* 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) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i)))
#s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))
(*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i)
(+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64))
(/.f64 #s(literal 100 binary64) i)
#s(literal 100 binary64)
i
#s(literal 50 binary64)
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 n #s(literal 1/24 binary64)) i (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
#s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64))))
#s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 n #s(literal 1/24 binary64)) i (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n)))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 n #s(literal 1/24 binary64)) i (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 n #s(literal 1/24 binary64)) i (*.f64 #s(literal 1/6 binary64) n)) #s(literal 100 binary64)) i (*.f64 #s(literal 50 binary64) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n)))))
(*.f64 (fma.f64 (*.f64 n #s(literal 1/24 binary64)) i (*.f64 #s(literal 1/6 binary64) n)) #s(literal 100 binary64))
#s(literal 100 binary64)
(fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))
(fma.f64 (*.f64 n #s(literal 1/24 binary64)) i (*.f64 #s(literal 1/6 binary64) n))
(-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64))))
(*.f64 n #s(literal 1/24 binary64))
(*.f64 #s(literal 1/4 binary64) n)
#s(literal 1/4 binary64)
n
(fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))
(*.f64 #s(literal 5/24 binary64) n)
(fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n)))
(*.f64 #s(literal 1/6 binary64) n)
#s(literal 5/12 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))
(*.f64 #s(literal -1/4 binary64) n)
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/8 binary64) n)
i
(*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))
(*.f64 #s(literal 50 binary64) n)
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
(*.f64 (/.f64 n i) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)))
#s(literal 100 binary64)
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))
(*.f64 (/.f64 n i) (+.f64 #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) i)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
i
n
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) i) n)
(/.f64 (neg.f64 n) i)
(/.f64 #s(literal -1 binary64) i)
#s(literal -1 binary64)

localize455.0ms (4.1%)

Memory
-9.5MiB live, 91.6MiB allocated; 58ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.06622732933744874
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
accuracy0.1328125
(*.f64 (/.f64 #s(literal -1 binary64) i) n)
accuracy5.110936004610112
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy32.88829309424659
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))
accuracy0.46484375
(fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n)))
accuracy0.62890625
(-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64))))
accuracy8.578316735955472
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
accuracy10.89888258392021
#s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64))))
accuracy0.0625
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)
accuracy0.0703125
(*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i)
accuracy8.578316735955472
#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 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n))
accuracy11.09302383146475
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i)))
accuracy0.0625
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)
accuracy8.578316735955472
#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))
accuracy11.09302383146475
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i)))
accuracy31.86001984719134
#s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))
accuracy0.01171875
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
accuracy0.0625
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
accuracy0.08984375
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
accuracy8.578316735955472
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
Samples
155.0ms100×1valid
139.0ms53×2valid
84.0ms29×5exit
22.0ms55×0exit
8.0ms19×0valid
Compiler

Compiled 492 to 64 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 363.0ms
ival-pow: 124.0ms (34.1% of total)
adjust: 78.0ms (21.5% of total)
ival-mult: 49.0ms (13.5% of total)
ival-exp: 46.0ms (12.7% of total)
ival-add: 22.0ms (6.1% of total)
ival-div: 22.0ms (6.1% of total)
const: 10.0ms (2.8% of total)
ival-sub: 5.0ms (1.4% of total)
ival-expm1: 5.0ms (1.4% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.3%)

Memory
-29.2MiB live, 16.2MiB allocated; 5ms collecting garbage
Counts
24 → 148
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(*.f64 (expm1.f64 i) #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))
#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 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i)))
#s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))
(fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))
(-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64))))
(fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n)))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
(*.f64 (/.f64 #s(literal -1 binary64) i) n)
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
(*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i)
#s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
Outputs
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 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))))))))
(+ (* 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))))))))))
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
100
(+ 100 (* 50 i))
(+ 100 (* i (+ 50 (* 50/3 i))))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(* 100 i)
(* i (+ 100 (* 50 i)))
(* i (+ 100 (* i (+ 50 (* 50/3 i)))))
(* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(+ (* 100 n) (* i (+ (* 50 n) (* 100 (* i (+ (* -1/4 n) (* 5/12 n)))))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 100 (* i (- (* 1/4 n) (+ (* 1/8 n) (* 1/2 (+ (* -1/4 n) (* 5/12 n))))))) (* 100 (+ (* -1/4 n) (* 5/12 n))))))))
(/ (+ n (* -1 n)) i)
(/ (+ n (+ (* -1 n) (* i n))) i)
(/ (+ n (+ (* -1 n) (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/ (+ n (+ (* -1 n) (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
(* 100 (/ (+ n (* -1 n)) i))
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 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)))))))))) i)
(* -1 (/ n i))
(/ 1 i)
(/ (+ 1 i) i)
(/ (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) i)
(/ (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) i)
(+ (* 100 n) (* 100 (* i (- n (* 1/2 n)))))
(+ (* 100 n) (* i (+ (* 100 (* i (- (* 2/3 n) (+ (* 1/4 n) (* 1/2 (- n (* 1/2 n))))))) (* 100 (- n (* 1/2 n))))))
(+ (* 100 n) (* i (+ (* 100 (- n (* 1/2 n))) (* i (+ (* 100 (* i (- (* 1/3 n) (+ (* 1/12 n) (+ (* 1/4 (- n (* 1/2 n))) (* 1/2 (- (* 2/3 n) (+ (* 1/4 n) (* 1/2 (- n (* 1/2 n))))))))))) (* 100 (- (* 2/3 n) (+ (* 1/4 n) (* 1/2 (- n (* 1/2 n)))))))))))
1
(+ 1 i)
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/ (+ (* 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)
(/ (+ (* 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)
(/ (+ (* 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)
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (- (exp i) 1))
(* 50 i)
(* i (+ 50 (* 100 (/ 1 i))))
(* 100 (* (pow i 3) (- (* 1/4 n) (+ (* 1/8 n) (* 1/2 (+ (* -1/4 n) (* 5/12 n)))))))
(* (pow i 3) (+ (* 100 (- (* 1/4 n) (+ (* 1/8 n) (* 1/2 (+ (* -1/4 n) (* 5/12 n)))))) (* 100 (/ (+ (* -1/4 n) (* 5/12 n)) i))))
(* (pow i 3) (+ (* 50 (/ n (pow i 2))) (+ (* 100 (- (* 1/4 n) (+ (* 1/8 n) (* 1/2 (+ (* -1/4 n) (* 5/12 n)))))) (* 100 (/ (+ (* -1/4 n) (* 5/12 n)) i)))))
(* (pow i 3) (+ (* 50 (/ n (pow i 2))) (+ (* 100 (- (* 1/4 n) (+ (* 1/8 n) (* 1/2 (+ (* -1/4 n) (* 5/12 n)))))) (+ (* 100 (/ n (pow i 3))) (* 100 (/ (+ (* -1/4 n) (* 5/12 n)) i))))))
(/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i)
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* 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)
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* 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)
(* 100 (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i))
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 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)
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 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)
(/ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) i)
(/ (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)
(/ (+ (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))) i)
(/ (+ (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)))) i)
(* 100 (/ (* n (- (exp (* 2 i)) 1)) (* i (+ 1 (exp i)))))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+ (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)))
(+ (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))))
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))
(* -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))
(* -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))
(* -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))
(* -1 (* (pow i 3) (+ (* -100 (- (* 1/4 n) (+ (* 1/8 n) (* 1/2 (+ (* -1/4 n) (* 5/12 n)))))) (* -100 (/ (+ (* -1/4 n) (* 5/12 n)) i)))))
(* -1 (* (pow i 3) (+ (* -100 (- (* 1/4 n) (+ (* 1/8 n) (* 1/2 (+ (* -1/4 n) (* 5/12 n)))))) (* -1 (/ (+ (* 50 (/ n i)) (* 100 (+ (* -1/4 n) (* 5/12 n)))) i)))))
(* -1 (* (pow i 3) (+ (* -100 (- (* 1/4 n) (+ (* 1/8 n) (* 1/2 (+ (* -1/4 n) (* 5/12 n)))))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ n i)) (* -50 n)) i)) (* 100 (+ (* -1/4 n) (* 5/12 n)))) i)))))
(* -1 (/ (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))
(* -1 (/ (+ n (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)))) i))
(* -1 (/ (+ n (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -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))
(* -1 (/ (+ n (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -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))
(* -100 (/ (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))
(* -1 (/ (+ (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) 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)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) 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)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i))
(/ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) i)
(* -1 (/ (+ (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (* -1 (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (* -1 (/ (+ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i)) i))) i))
(* -1 (/ (+ (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (/ (* (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 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))
(* 100 (/ (* n (- (exp (neg (* -2 i))) 1)) (* i (+ 1 (exp i)))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (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)))
(+ (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)))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(* (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))))
(* (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))))))))
(* (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)))))))))))
(* 5/24 n)
(* 1/24 n)
(* 1/6 n)
(* n (+ 100 (* i (+ 50 (* 100 (* i (+ 1/6 (* 1/24 i))))))))
(* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i)))
(* (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))))
(* (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))))
(* (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))))
(* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i))))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i)))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) 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))))))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) 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)))))))))))
(+ (* n (+ (* -1 (/ (log n) i)) (/ (log i) i))) (/ 1 i))
(+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) (/ 1 i))
(+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) (/ 1 i))
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 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))))))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* 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)))))
(* 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))))))
(* n (- (/ (exp i) i) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
(* 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)))
(* 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)))
(* 100 (* n (- (/ (exp i) i) (/ 1 i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (- (/ (exp i) i) (/ 1 i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (+ (* 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))))))))
(/ (exp i) i)
(+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i))
(+ (* -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)))))
(+ (* -1/2 (/ (* 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))))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (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))))
(+ (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 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -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)))))
(* -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)))))
(* -1 (* n (- (* i (- (* 100 (* i (- (* -1/24 i) 1/6))) 50)) 100)))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* 1/2 (/ (* i (exp i)) n)) (/ 1 i)))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (/ 1 i)))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -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)))))
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -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)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(+ (* -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 (/ (+ (* -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))
(+ (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)))
(+ (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
9.0ms
n
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (* (- (exp i) 1) 100) i) n) (/ (* (- (exp i) 1) 100) i) (* (- (exp i) 1) 100) (* 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) (+ (* 50 i) 100) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4)) (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) (+ (* n 5/12) (* -1/2 (* 1/2 n))) (+ (* (+ (* (* 100 (+ (* (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) i) (+ (* n 5/12) (* -1/2 (* 1/2 n))))) i) (* (* 1/2 n) 100)) i) (* n 100)) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (* (/ -1 i) n) (/ (pow (+ (/ i n) 1) n) i) (* (+ (/ 100 i) 50) i) (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (pow (+ (/ i n) 1) n))
7.0ms
n
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (* (- (exp i) 1) 100) i) n) (/ (* (- (exp i) 1) 100) i) (* (- (exp i) 1) 100) (* 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) (+ (* 50 i) 100) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4)) (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) (+ (* n 5/12) (* -1/2 (* 1/2 n))) (+ (* (+ (* (* 100 (+ (* (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) i) (+ (* n 5/12) (* -1/2 (* 1/2 n))))) i) (* (* 1/2 n) 100)) i) (* n 100)) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (* (/ -1 i) n) (/ (pow (+ (/ i n) 1) n) i) (* (+ (/ 100 i) 50) i) (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (pow (+ (/ i n) 1) n))
5.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (* (- (exp i) 1) 100) i) n) (/ (* (- (exp i) 1) 100) i) (* (- (exp i) 1) 100) (* 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) (+ (* 50 i) 100) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4)) (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) (+ (* n 5/12) (* -1/2 (* 1/2 n))) (+ (* (+ (* (* 100 (+ (* (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) i) (+ (* n 5/12) (* -1/2 (* 1/2 n))))) i) (* (* 1/2 n) 100)) i) (* n 100)) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (* (/ -1 i) n) (/ (pow (+ (/ i n) 1) n) i) (* (+ (/ 100 i) 50) i) (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (pow (+ (/ i n) 1) n))
5.0ms
i
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (* (- (exp i) 1) 100) i) n) (/ (* (- (exp i) 1) 100) i) (* (- (exp i) 1) 100) (* 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) (+ (* 50 i) 100) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4)) (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) (+ (* n 5/12) (* -1/2 (* 1/2 n))) (+ (* (+ (* (* 100 (+ (* (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) i) (+ (* n 5/12) (* -1/2 (* 1/2 n))))) i) (* (* 1/2 n) 100)) i) (* n 100)) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (* (/ -1 i) n) (/ (pow (+ (/ i n) 1) n) i) (* (+ (/ 100 i) 50) i) (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (pow (+ (/ i n) 1) n))
5.0ms
n
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (* (- (exp i) 1) 100) i) n) (/ (* (- (exp i) 1) 100) i) (* (- (exp i) 1) 100) (* 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) (+ (* 50 i) 100) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4)) (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) (+ (* n 5/12) (* -1/2 (* 1/2 n))) (+ (* (+ (* (* 100 (+ (* (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) i) (+ (* n 5/12) (* -1/2 (* 1/2 n))))) i) (* (* 1/2 n) 100)) i) (* n 100)) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (* (/ -1 i) n) (/ (pow (+ (/ i n) 1) n) i) (* (+ (/ 100 i) 50) i) (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (pow (+ (/ i n) 1) n))

simplify154.0ms (1.4%)

Memory
7.8MiB live, 53.3MiB allocated; 2ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07855405
128814834
081964500
Stop Event
iter limit
node limit
Counts
148 → 148
Calls
Call 1
Inputs
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100
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1
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(* 5/24 n)
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(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 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))))))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* 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)))))
(* 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))))))
(* n (- (/ (exp i) i) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
(* 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)))
(* 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)))
(* 100 (* n (- (/ (exp i) i) (/ 1 i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (- (/ (exp i) i) (/ 1 i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (+ (* 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))))))))
(/ (exp i) i)
(+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i))
(+ (* -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)))))
(+ (* -1/2 (/ (* 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))))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (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))))
(+ (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 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -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)))))
(* -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)))))
(* -1 (* n (- (* i (- (* 100 (* i (- (* -1/24 i) 1/6))) 50)) 100)))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* 1/2 (/ (* i (exp i)) n)) (/ 1 i)))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (/ 1 i)))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -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)))))
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -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)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(+ (* -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 (/ (+ (* -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))
(+ (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)))
(+ (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
(* 100 n)
(*.f64 n #s(literal 100 binary64))
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(+ (* 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))))))))
(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 n #s(literal 100 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))))))))))
(fma.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)) n (*.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)))))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))
100
#s(literal 100 binary64)
(+ 100 (* 50 i))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* 50/3 i))))
(fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(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))
(* 100 i)
(*.f64 i #s(literal 100 binary64))
(* i (+ 100 (* 50 i)))
(*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) i)
(* i (+ 100 (* i (+ 50 (* 50/3 i)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) i)
(* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 (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)) i)
(+ (* 100 n) (* i (+ (* 50 n) (* 100 (* i (+ (* -1/4 n) (* 5/12 n)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) n) i) #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 100 (* i (- (* 1/4 n) (+ (* 1/8 n) (* 1/2 (+ (* -1/4 n) (* 5/12 n))))))) (* 100 (+ (* -1/4 n) (* 5/12 n))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))
(/ (+ n (* -1 n)) i)
(/.f64 #s(literal 0 binary64) i)
(/ (+ n (+ (* -1 n) (* i n))) i)
(/.f64 (fma.f64 n i #s(literal 0 binary64)) i)
(/ (+ n (+ (* -1 n) (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i #s(literal 0 binary64)) i)
(/ (+ n (+ (* -1 n) (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
(/.f64 (fma.f64 (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) i #s(literal 0 binary64)) i)
(* 100 (/ (+ n (* -1 n)) i))
(/.f64 #s(literal 0 binary64) i)
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i)
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i #s(literal 0 binary64)) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 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)))))))))) i)
(/.f64 (fma.f64 (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 n #s(literal 100 binary64))) i #s(literal 0 binary64)) i)
(* -1 (/ n i))
(/.f64 (neg.f64 n) i)
(/ 1 i)
(/.f64 #s(literal 1 binary64) i)
(/ (+ 1 i) i)
(/.f64 (+.f64 i #s(literal 1 binary64)) i)
(/ (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) i)
(/.f64 (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)
(/ (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) i)
(/.f64 (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)) i)
(+ (* 100 n) (* 100 (* i (- n (* 1/2 n)))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) n) i n))
(+ (* 100 n) (* i (+ (* 100 (* i (- (* 2/3 n) (+ (* 1/4 n) (* 1/2 (- n (* 1/2 n))))))) (* 100 (- n (* 1/2 n))))))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 #s(literal 5/12 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) i (*.f64 #s(literal 1/2 binary64) n))) i (*.f64 n #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 100 (- n (* 1/2 n))) (* i (+ (* 100 (* i (- (* 1/3 n) (+ (* 1/12 n) (+ (* 1/4 (- n (* 1/2 n))) (* 1/2 (- (* 2/3 n) (+ (* 1/4 n) (* 1/2 (- n (* 1/2 n))))))))))) (* 100 (- (* 2/3 n) (+ (* 1/4 n) (* 1/2 (- n (* 1/2 n)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 #s(literal 5/12 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 #s(literal 5/12 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))
1
#s(literal 1 binary64)
(+ 1 i)
(+.f64 i #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 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))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) i)
(/ (+ (* 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)
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i))) i)
(/ (+ (* 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)
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n)) i) (/.f64 n i) (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i)))) i)
(/ (+ (* 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)
(/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))))) (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i)))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))
(* 100 (/ (- (exp i) 1) i))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(* 100 (- (exp i) 1))
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(* 50 i)
(*.f64 #s(literal 50 binary64) i)
(* i (+ 50 (* 100 (/ 1 i))))
(*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i)
(* 100 (* (pow i 3) (- (* 1/4 n) (+ (* 1/8 n) (* 1/2 (+ (* -1/4 n) (* 5/12 n)))))))
(*.f64 (*.f64 #s(literal 100 binary64) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) n))))
(* (pow i 3) (+ (* 100 (- (* 1/4 n) (+ (* 1/8 n) (* 1/2 (+ (* -1/4 n) (* 5/12 n)))))) (* 100 (/ (+ (* -1/4 n) (* 5/12 n)) i))))
(*.f64 (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) n) i) (fma.f64 #s(literal 1/8 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) n))))) (pow.f64 i #s(literal 3 binary64)))
(* (pow i 3) (+ (* 50 (/ n (pow i 2))) (+ (* 100 (- (* 1/4 n) (+ (* 1/8 n) (* 1/2 (+ (* -1/4 n) (* 5/12 n)))))) (* 100 (/ (+ (* -1/4 n) (* 5/12 n)) i)))))
(*.f64 (fma.f64 (/.f64 #s(literal 50 binary64) i) (/.f64 n i) (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) n) i) (fma.f64 #s(literal 1/8 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) n)))))) (pow.f64 i #s(literal 3 binary64)))
(* (pow i 3) (+ (* 50 (/ n (pow i 2))) (+ (* 100 (- (* 1/4 n) (+ (* 1/8 n) (* 1/2 (+ (* -1/4 n) (* 5/12 n)))))) (+ (* 100 (/ n (pow i 3))) (* 100 (/ (+ (* -1/4 n) (* 5/12 n)) i))))))
(*.f64 (fma.f64 (/.f64 #s(literal 50 binary64) i) (/.f64 n i) (*.f64 #s(literal 100 binary64) (+.f64 (+.f64 (/.f64 n (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) n) i)) (fma.f64 #s(literal 1/8 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) n)))))) (pow.f64 i #s(literal 3 binary64)))
(/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i)
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(* -1 (* n (+ (* -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)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 i) #s(literal 1 binary64)) i) #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (/.f64 (*.f64 #s(literal -100 binary64) (-.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 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)))) (neg.f64 n))) (neg.f64 n))) (neg.f64 n))
(+ (* -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))
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) i) (exp.f64 i) (*.f64 (/.f64 (exp.f64 i) (neg.f64 i)) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n))) (neg.f64 n)) (/.f64 (exp.f64 i) i))
(+ (* -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))
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) i) (exp.f64 i) (/.f64 (fma.f64 (/.f64 (exp.f64 i) (neg.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 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i))) (neg.f64 n))) (neg.f64 n)) (/.f64 (exp.f64 i) i))
(+ (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)))
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i) (/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 n))) n))
(+ (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)))
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i) (/.f64 (fma.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 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))

rewrite173.0ms (1.6%)

Memory
7.0MiB live, 58.5MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070497
0108459
1429411
23256411
09249391
Stop Event
iter limit
node limit
iter limit
Counts
24 → 344
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(*.f64 (expm1.f64 i) #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))
#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 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i)))
#s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))
(fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))
(-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64))))
(fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n)))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
(*.f64 (/.f64 #s(literal -1 binary64) i) n)
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
(*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i)
#s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (/.f64 (expm1.f64 i) i)) #s(literal 100 binary64)))
(*.f64 (*.f64 n (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(*.f64 (*.f64 n (/.f64 (expm1.f64 i) i)) #s(literal 100 binary64))
(*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) i) (/.f64 n (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (/.f64 n (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) n))
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 100 binary64) i) n))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 i) i) n))
(/.f64 (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) n) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i)
(/.f64 (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) n) i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) n) (neg.f64 i))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) n) (*.f64 (neg.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (*.f64 n (*.f64 #s(literal -100 binary64) (expm1.f64 i))) (neg.f64 i))
(/.f64 (*.f64 n (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (*.f64 (neg.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) n)) (*.f64 (neg.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) n) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(*.f64 (/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) i) (/.f64 #s(literal 100 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) i))
(*.f64 (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) (expm1.f64 (*.f64 i #s(literal 3 binary64))))
(*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 i))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 100 binary64) i)) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (fabs.f64 (exp.f64 i))))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 100 binary64) i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (neg.f64 (*.f64 (neg.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) (neg.f64 i))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (fabs.f64 (exp.f64 i))) (neg.f64 i)))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (*.f64 (neg.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (*.f64 (+.f64 (fabs.f64 (exp.f64 i)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (*.f64 (+.f64 (+.f64 (fabs.f64 (exp.f64 i)) #s(literal 1 binary64)) (fabs.f64 (exp.f64 i))) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (fabs.f64 (exp.f64 i))) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(/.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) (+.f64 (fabs.f64 (exp.f64 i)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) (+.f64 (+.f64 (fabs.f64 (exp.f64 i)) #s(literal 1 binary64)) (fabs.f64 (exp.f64 i))))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) i))
(neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(neg.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (neg.f64 i)))
(neg.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (*.f64 (neg.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (expm1.f64 i))
(*.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)) (fabs.f64 (exp.f64 i))))
(*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 100 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (fabs.f64 (exp.f64 i))))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (+.f64 (exp.f64 i) #s(literal 1 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)
(*.f64 n #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))))
#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) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)
(*.f64 n #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))))
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i)))
#s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))
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(*.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 (*.f64 n #s(literal 100 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i))
(*.f64 n (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
(/.f64 (fma.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) #s(literal 100 binary64)))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i (*.f64 i (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n)))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) #s(literal 100 binary64)) (*.f64 n (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 n) i) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 3 binary64))) #s(literal 100 binary64)) (fma.f64 (/.f64 (neg.f64 n) i) (/.f64 (-.f64 (neg.f64 n) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n)) i) (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 2 binary64))))
(/.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) (-.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64)))) (*.f64 n (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i)))
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (pow.f64 (/.f64 (neg.f64 n) i) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (neg.f64 n) i) (/.f64 (-.f64 (neg.f64 n) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n)) i) (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 (neg.f64 i) n))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) #s(literal 100 binary64)) (*.f64 (neg.f64 n) #s(literal 100 binary64))) i))
(/.f64 (fma.f64 #s(literal 1000000 binary64) (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)))))
(/.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))
(fma.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) i)) n (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)))
(fma.f64 (*.f64 #s(literal 100 binary64) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) n (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i))
(fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i))
(fma.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) i) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)))
(fma.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i))
(fma.f64 n (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)))
(fma.f64 n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i))
(fma.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i))
(fma.f64 #s(literal 100 binary64) (/.f64 (neg.f64 n) i) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)))
(-.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 i #s(literal -1 binary64)) n) #s(literal 100 binary64)))
(-.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 n) i)))
(+.f64 (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i))
(*.f64 (/.f64 #s(literal -1 binary64) i) n)
(*.f64 #s(literal -1 binary64) (/.f64 n i))
(*.f64 n (/.f64 #s(literal -1 binary64) i))
(/.f64 (*.f64 #s(literal 1 binary64) n) (neg.f64 i))
(/.f64 (*.f64 n #s(literal 1 binary64)) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 n)) (neg.f64 i))
(/.f64 (neg.f64 n) i)
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (neg.f64 i))
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
(neg.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i))
(neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 i)))
(*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i)
(*.f64 i (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 2 binary64)) #s(literal 2500 binary64)) i) (-.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 125000 binary64) (pow.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 3 binary64))) i) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 2 binary64)) #s(literal 2500 binary64)) (/.f64 #s(literal 5000 binary64) i)))
(/.f64 (*.f64 i (-.f64 (pow.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 2 binary64)) #s(literal 2500 binary64))) (-.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)))
(/.f64 (*.f64 i (+.f64 #s(literal 125000 binary64) (pow.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 2 binary64)) #s(literal 2500 binary64)) (/.f64 #s(literal 5000 binary64) i)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) i (*.f64 #s(literal 50 binary64) i))
(fma.f64 #s(literal 50 binary64) i (*.f64 (/.f64 #s(literal 100 binary64) i) i))
(fma.f64 #s(literal 50 binary64) i (*.f64 i (/.f64 #s(literal 100 binary64) i)))
(fma.f64 i (/.f64 #s(literal 100 binary64) i) (*.f64 #s(literal 50 binary64) i))
(fma.f64 i #s(literal 50 binary64) (*.f64 (/.f64 #s(literal 100 binary64) i) i))
(fma.f64 i #s(literal 50 binary64) (*.f64 i (/.f64 #s(literal 100 binary64) i)))
(+.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) i) (*.f64 #s(literal 50 binary64) i))
(+.f64 (*.f64 i (/.f64 #s(literal 100 binary64) i)) (*.f64 #s(literal 50 binary64) i))
(+.f64 (*.f64 #s(literal 50 binary64) i) (*.f64 (/.f64 #s(literal 100 binary64) i) i))
(+.f64 (*.f64 #s(literal 50 binary64) i) (*.f64 i (/.f64 #s(literal 100 binary64) i)))
#s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (*.f64 n #s(literal 1/6 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) n))) i (*.f64 n #s(literal 1/6 binary64))) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (*.f64 n #s(literal 1/6 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) n))) i (*.f64 n #s(literal 1/6 binary64))) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (fabs.f64 (*.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (sqrt.f64 (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 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 n #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 2 binary64))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 (/.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)
(sqrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64)) n))
(fabs.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(fabs.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (/.f64 n #s(literal 2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 n #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (+.f64 (/.f64 n #s(literal 2 binary64)) (/.f64 n #s(literal 2 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)))

eval72.0ms (0.7%)

Memory
7.1MiB live, 51.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 25 557 to 2 754 computations (89.2% saved)

prune42.0ms (0.4%)

Memory
-4.8MiB live, 43.0MiB allocated; 1ms collecting garbage
Pruning

46 alts after pruning (40 fresh and 6 done)

PrunedKeptTotal
New49718515
Fresh52227
Picked235
Done134
Total50546551
Accuracy
100.0%
Counts
551 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.3%
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i))
11.1%
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
61.8%
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i)
22.4%
(-.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 n) i)))
69.3%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
69.2%
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
23.0%
(*.f64 n (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) #s(literal 100 binary64)))
22.4%
(*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.f64 (neg.f64 n) i)))
12.4%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
23.0%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n (neg.f64 n)) i))
13.9%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n))) (*.f64 i i)))
12.1%
(*.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 (neg.f64 i) n)) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 (neg.f64 i) n))))
16.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
16.2%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
15.7%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
22.4%
(*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (neg.f64 n) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))))
46.7%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n))
59.7%
(*.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)))
14.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
59.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n)))
62.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
60.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i n))))
59.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) n) i))
59.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i))
56.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i))
60.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) #s(approx (* (+ (exp i) 1) i) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i #s(literal 2 binary64)) i))) n))
66.7%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) #s(approx (* (+ (exp i) 1) i) (*.f64 #s(literal 2 binary64) i))) n))
74.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
74.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))))
53.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n))
14.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
60.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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))) (*.f64 n #s(literal 100 binary64))))
59.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))))
62.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (* (- (exp i) 1) 100) i) (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))
60.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (* (- (exp i) 1) 100) i) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
59.8%
#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))
59.8%
#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 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n))
14.1%
#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))
53.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
62.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
62.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 n #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/8 binary64) n)) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
45.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (/.f64 (*.f64 (*.f64 n #s(literal 1/6 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 n #s(literal 2/3 binary64))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
62.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (*.f64 n #s(literal 1/6 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) n))) i (*.f64 n #s(literal 1/6 binary64))) (*.f64 #s(literal 50 binary64) n)) i))))
62.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* 100 (+ (* (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) i) (+ (* n 5/12) (* -1/2 (* 1/2 n))))) i) (* (* 1/2 n) 100)) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))))
56.3%
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
18.4%
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i))
Compiler

Compiled 3 613 to 1 363 computations (62.3% saved)

regimes60.0ms (0.5%)

Memory
-14.9MiB live, 32.1MiB allocated; 1ms collecting garbage
Counts
70 → 4
Calls
Call 1
Inputs
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (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 (/ (* (- (exp i) 1) 100) i) (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 (/.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (* (- (exp i) 1) 100) i) (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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (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 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) 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 (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* 100 (+ (* (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) i) (+ (* n 5/12) (* -1/2 (* 1/2 n))))) i) (* (* 1/2 n) 100)) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))))
(*.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(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (*.f64 n #s(literal 1/6 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) n))) i (*.f64 n #s(literal 1/6 binary64))) (*.f64 #s(literal 50 binary64) n)) i))))
(*.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))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 n #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/8 binary64) n)) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) i) (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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.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)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(*.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 (neg.f64 i) n)) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 (neg.f64 i) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (/.f64 (*.f64 (*.f64 n #s(literal 1/6 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 n #s(literal 2/3 binary64))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)))
#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 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) #s(approx (* (+ (exp i) 1) i) (*.f64 #s(literal 2 binary64) i))) n))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n (neg.f64 n)) i))
(*.f64 n (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) #s(approx (* (+ (exp i) 1) i) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i #s(literal 2 binary64)) i))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (neg.f64 n) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n))) (*.f64 i i)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i))
(-.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 n) i)))
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.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 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 (*.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)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n (neg.f64 n)) i))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Calls

4 calls:

16.0ms
n
15.0ms
i
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
93.3%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
93.3%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)))
90.6%6i
93.4%5n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes26.0ms (0.2%)

Memory
17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Counts
66 → 4
Calls
Call 1
Inputs
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (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 (/ (* (- (exp i) 1) 100) i) (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 (/.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (* (- (exp i) 1) 100) i) (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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (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 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) 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 (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* 100 (+ (* (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) i) (+ (* n 5/12) (* -1/2 (* 1/2 n))))) i) (* (* 1/2 n) 100)) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))))
(*.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(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (*.f64 n #s(literal 1/6 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) n))) i (*.f64 n #s(literal 1/6 binary64))) (*.f64 #s(literal 50 binary64) n)) i))))
(*.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))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 n #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/8 binary64) n)) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) i) (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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.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)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(*.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 (neg.f64 i) n)) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 (neg.f64 i) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (/.f64 (*.f64 (*.f64 n #s(literal 1/6 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 n #s(literal 2/3 binary64))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)))
#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 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) #s(approx (* (+ (exp i) 1) i) (*.f64 #s(literal 2 binary64) i))) n))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n (neg.f64 n)) i))
(*.f64 n (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) #s(approx (* (+ (exp i) 1) i) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i #s(literal 2 binary64)) i))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (neg.f64 n) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n))) (*.f64 i i)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i))
(-.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 n) i)))
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.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 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
Outputs
(*.f64 n (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) #s(literal 100 binary64)))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) 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
93.2%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
93.2%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes57.0ms (0.5%)

Memory
-23.3MiB live, 30.0MiB allocated; 3ms collecting garbage
Counts
65 → 3
Calls
Call 1
Inputs
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (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 (/ (* (- (exp i) 1) 100) i) (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 (/.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (* (- (exp i) 1) 100) i) (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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (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 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) 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 (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* 100 (+ (* (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) i) (+ (* n 5/12) (* -1/2 (* 1/2 n))))) i) (* (* 1/2 n) 100)) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))))
(*.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(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (*.f64 n #s(literal 1/6 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) n))) i (*.f64 n #s(literal 1/6 binary64))) (*.f64 #s(literal 50 binary64) n)) i))))
(*.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))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 n #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/8 binary64) n)) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) i) (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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.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)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(*.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 (neg.f64 i) n)) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 (neg.f64 i) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (/.f64 (*.f64 (*.f64 n #s(literal 1/6 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 n #s(literal 2/3 binary64))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)))
#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 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) #s(approx (* (+ (exp i) 1) i) (*.f64 #s(literal 2 binary64) i))) n))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n (neg.f64 n)) i))
(*.f64 n (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) #s(approx (* (+ (exp i) 1) i) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i #s(literal 2 binary64)) i))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (log.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (neg.f64 n) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n))) (*.f64 i i)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i))
(-.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 n) i)))
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.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 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))))
Calls

4 calls:

14.0ms
n
14.0ms
i
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
81.5%4i
83.7%3n
76.6%2(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
76.6%2(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes12.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Counts
41 → 3
Calls
Call 1
Inputs
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (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 (/ (* (- (exp i) 1) 100) i) (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 (/.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (* (- (exp i) 1) 100) i) (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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (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 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) 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 (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* 100 (+ (* (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) i) (+ (* n 5/12) (* -1/2 (* 1/2 n))))) i) (* (* 1/2 n) 100)) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))))
(*.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(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (*.f64 n #s(literal 1/6 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) n))) i (*.f64 n #s(literal 1/6 binary64))) (*.f64 #s(literal 50 binary64) n)) i))))
(*.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))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 n #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/8 binary64) n)) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) i) (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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.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)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(*.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 (neg.f64 i) n)) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 (neg.f64 i) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (/.f64 (*.f64 (*.f64 n #s(literal 1/6 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 n #s(literal 2/3 binary64))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) 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))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
Calls

1 calls:

10.0ms
n
Results
AccuracySegmentsBranch
83.7%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Counts
40 → 5
Calls
Call 1
Inputs
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (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 (/ (* (- (exp i) 1) 100) i) (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 (/.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (* (- (exp i) 1) 100) i) (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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (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 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) 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 (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* 100 (+ (* (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) i) (+ (* n 5/12) (* -1/2 (* 1/2 n))))) i) (* (* 1/2 n) 100)) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))))
(*.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(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (*.f64 n #s(literal 1/6 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) n))) i (*.f64 n #s(literal 1/6 binary64))) (*.f64 #s(literal 50 binary64) n)) i))))
(*.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))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 n #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/8 binary64) n)) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) i) (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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.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)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(*.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 (neg.f64 i) n)) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 (neg.f64 i) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (/.f64 (*.f64 (*.f64 n #s(literal 1/6 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 n #s(literal 2/3 binary64))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)))
Calls

1 calls:

9.0ms
n
Results
AccuracySegmentsBranch
83.2%5n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes34.0ms (0.3%)

Memory
20.1MiB live, 20.1MiB allocated; 0ms collecting garbage
Counts
39 → 3
Calls
Call 1
Inputs
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (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 (/ (* (- (exp i) 1) 100) i) (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 (/.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (* (- (exp i) 1) 100) i) (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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (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 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) 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 (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* 100 (+ (* (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) i) (+ (* n 5/12) (* -1/2 (* 1/2 n))))) i) (* (* 1/2 n) 100)) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))))
(*.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(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (*.f64 n #s(literal 1/6 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) n))) i (*.f64 n #s(literal 1/6 binary64))) (*.f64 #s(literal 50 binary64) n)) i))))
(*.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))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 n #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/8 binary64) n)) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) i) (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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.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)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(*.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 (neg.f64 i) n)) (*.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (/.f64 i n) (/.f64 (neg.f64 i) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (fma.f64 n #s(literal 5/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/4 binary64)))) i (/.f64 (*.f64 (*.f64 n #s(literal 1/6 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 n #s(literal 2/3 binary64))))) i (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))))
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))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (*.f64 n #s(literal 1/6 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) n))) i (*.f64 n #s(literal 1/6 binary64))) (*.f64 #s(literal 50 binary64) n)) i))))
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
62.4%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
62.4%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
69.0%4i
73.3%3n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes9.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Counts
30 → 3
Calls
Call 1
Inputs
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (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 (/ (* (- (exp i) 1) 100) i) (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 (/.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (* (- (exp i) 1) 100) i) (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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (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 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) 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 (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* 100 (+ (* (- (* 1/4 n) (+ (* (+ (* n 5/12) (* -1/2 (* 1/2 n))) 1/2) (* (* 1/2 n) 1/4))) i) (+ (* n 5/12) (* -1/2 (* 1/2 n))))) i) (* (* 1/2 n) 100)) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) n (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 1/6 binary64) n))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))))
(*.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)))
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))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
Calls

1 calls:

7.0ms
n
Results
AccuracySegmentsBranch
73.3%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Counts
21 → 3
Calls
Call 1
Inputs
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (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 (/ (* (- (exp i) 1) 100) i) (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 (/.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (* (- (exp i) 1) 100) i) (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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (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 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) 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 (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
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))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
73.3%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory
-44.3MiB live, 3.2MiB allocated; 1ms collecting garbage
Counts
13 → 3
Calls
Call 1
Inputs
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (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 (/ (* (- (exp i) 1) 100) i) (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 (/.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i n))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i n))))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n)))
Calls

1 calls:

4.0ms
n
Results
AccuracySegmentsBranch
71.3%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Counts
12 → 3
Calls
Call 1
Inputs
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (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 (/ (* (- (exp i) 1) 100) i) (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 (/.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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))) (*.f64 n #s(literal 100 binary64))))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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))) (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n)))
Calls

1 calls:

3.0ms
n
Results
AccuracySegmentsBranch
71.3%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Counts
11 → 3
Calls
Call 1
Inputs
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (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 (/ (* (- (exp i) 1) 100) i) (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 (/.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
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))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n)))
Calls

1 calls:

3.0ms
n
Results
AccuracySegmentsBranch
71.3%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 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))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n)))
Calls

1 calls:

2.0ms
n
Results
AccuracySegmentsBranch
70.7%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))))
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))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))
Calls

1 calls:

2.0ms
n
Results
AccuracySegmentsBranch
70.7%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Calls

4 calls:

1.0ms
i
1.0ms
n
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
53.6%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
53.6%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)))
63.5%3i
64.2%3n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes3.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
Outputs
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
Calls

2 calls:

1.0ms
i
1.0ms
n
Results
AccuracySegmentsBranch
59.2%2i
53.6%1n
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) 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
53.6%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
53.6%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)))
53.6%1n
53.6%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
3.365547480405591e-266
6.971796419769723e-253
0.0ms
-inf
-4.3034195354669987e-10
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
3.365547480405591e-266
6.971796419769723e-253
0.0ms
-8.295242120212967e-42
-6.893562885100041e-42
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch113.0ms (1%)

Memory
-23.1MiB live, 23.6MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
53.0ms
2.891029201310943e-166
8.340692229359115e-158
51.0ms
-5.625296903744413e-211
-9.664740780908764e-219
Samples
60.0ms146×2valid
14.0ms86×1valid
9.0ms145×0invalid
4.0ms56×0valid
Compiler

Compiled 864 to 645 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-pow: 34.0ms (47.8% of total)
adjust: 12.0ms (16.9% of total)
ival-div: 12.0ms (16.9% of total)
ival-sub: 4.0ms (5.6% of total)
ival-mult: 4.0ms (5.6% of total)
ival-add: 4.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.891029201310943e-166
8.340692229359115e-158
1.0ms
-5.625296903744413e-211
-9.664740780908764e-219
Compiler

Compiled 864 to 645 computations (25.3% saved)

bsearch183.0ms (1.7%)

Memory
28.6MiB live, 28.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
61.0ms
2.8356846124552436e+150
2.4385676096090154e+153
1.0ms
2.891029201310943e-166
8.340692229359115e-158
59.0ms
-7.679079893411167e-152
-2.427467831747025e-160
51.0ms
-1.7175902481359274e-78
-1.4980303179145003e-80
Samples
91.0ms139×2valid
48.0ms181×1valid
7.0ms110×0invalid
5.0ms64×0valid
Compiler

Compiled 1 725 to 1 243 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-pow: 88.0ms (66.4% of total)
adjust: 15.0ms (11.3% of total)
ival-div: 14.0ms (10.6% of total)
ival-sub: 5.0ms (3.8% of total)
ival-mult: 5.0ms (3.8% of total)
ival-add: 5.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
2.891029201310943e-166
8.340692229359115e-158
1.0ms
-7.679079893411167e-152
-2.427467831747025e-160
Compiler

Compiled 1 332 to 915 computations (31.3% saved)

bsearch3.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.891029201310943e-166
8.340692229359115e-158
1.0ms
-7.679079893411167e-152
-2.427467831747025e-160
Compiler

Compiled 1 116 to 789 computations (29.3% saved)

bsearch3.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.891029201310943e-166
8.340692229359115e-158
1.0ms
-7.679079893411167e-152
-2.427467831747025e-160
Compiler

Compiled 1 098 to 789 computations (28.1% saved)

bsearch3.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.891029201310943e-166
8.340692229359115e-158
1.0ms
-7.679079893411167e-152
-2.427467831747025e-160
Compiler

Compiled 999 to 717 computations (28.2% saved)

bsearch3.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.891029201310943e-166
8.340692229359115e-158
1.0ms
-7.679079893411167e-152
-2.427467831747025e-160
Compiler

Compiled 999 to 735 computations (26.4% saved)

bsearch3.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.891029201310943e-166
8.340692229359115e-158
1.0ms
-7.679079893411167e-152
-2.427467831747025e-160
Compiler

Compiled 999 to 726 computations (27.3% saved)

bsearch3.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.891029201310943e-166
8.340692229359115e-158
1.0ms
-7.679079893411167e-152
-2.427467831747025e-160
Compiler

Compiled 972 to 708 computations (27.2% saved)

bsearch2.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.891029201310943e-166
8.340692229359115e-158
1.0ms
-7.679079893411167e-152
-2.427467831747025e-160
Compiler

Compiled 990 to 717 computations (27.6% saved)

bsearch2.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.891029201310943e-166
8.340692229359115e-158
1.0ms
-7.679079893411167e-152
-2.427467831747025e-160
Compiler

Compiled 774 to 591 computations (23.6% saved)

bsearch43.0ms (0.4%)

Memory
-37.7MiB live, 9.1MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
4.6134906297330464e+33
1.6700762333087156e+39
Samples
28.0ms113×1valid
2.0ms31×0valid
2.0ms35×0invalid
Compiler

Compiled 513 to 357 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-pow: 14.0ms (52.2% of total)
adjust: 4.0ms (14.9% of total)
ival-div: 4.0ms (14.9% of total)
ival-add: 1.0ms (3.7% of total)
ival-sub: 1.0ms (3.7% of total)
ival-mult: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify57.0ms (0.5%)

Memory
17.9MiB live, 17.9MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01911319
12711295
24771295
310911290
442801290
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 -inf.0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n (neg.f64 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 7260824748426675/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 binary64)) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64))) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)))))
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(if (<=.f64 n #s(literal -7914572847139345/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 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 4927549738046179/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp (+ i i)) 1) 100) (* (+ (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) n) (fma.f64 (*.f64 n #s(literal 1/6 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) n))) i (*.f64 n #s(literal 1/6 binary64))) (*.f64 #s(literal 50 binary64) n)) i))))))
(if (<=.f64 n #s(literal -7914572847139345/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 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 4927549738046179/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n))))))
(if (<=.f64 n #s(literal -7914572847139345/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 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 4927549738046179/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))))
(if (<=.f64 n #s(literal -7914572847139345/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* (/ (- (exp i) 1) i) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i n)))) (if (<=.f64 n #s(literal 4927549738046179/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n)))))
(if (<=.f64 n #s(literal -7914572847139345/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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))) (*.f64 n #s(literal 100 binary64)))) (if (<=.f64 n #s(literal 4927549738046179/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n)))))
(if (<=.f64 n #s(literal -7914572847139345/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #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)) (if (<=.f64 n #s(literal 4927549738046179/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n)))))
(if (<=.f64 n #s(literal -7914572847139345/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 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)) (if (<=.f64 n #s(literal 4927549738046179/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n)))))
(if (<=.f64 n #s(literal -7914572847139345/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 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)) (if (<=.f64 n #s(literal 4927549738046179/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 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))))
(if (<=.f64 n #s(literal -7914572847139345/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) (if (<=.f64 n #s(literal 4927549738046179/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 #s(literal 0 binary64) i)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Outputs
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (*.f64 #s(literal 100 binary64) n))

derivations1.2s (10.9%)

Memory
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07855405
128814834
081964500
01044
01644
16444
241744
3466944
0850138
042260
065237
1223237
21392237
09864229
070497
0108459
1429411
23256411
09249391
06504309
123933876
086843527
037279
062274
1219274
21414274
08155260
05894048
121333644
082803343
05153779
118463384
083763118
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 423 to 191 computations (86.6% saved)

preprocess177.0ms (1.6%)

Memory
-34.5MiB live, 60.9MiB allocated; 6ms collecting garbage
Compiler

Compiled 2 956 to 438 computations (85.2% saved)

end0.0ms (0%)

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

Profiling

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