Compound Interest

Time bar (total: 11.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze165.0ms (1.4%)

Memory
2.4MiB live, 373.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
39.1%39%60.9%0.1%0%0%0%7
44.5%44.5%55.4%0.1%0%0%0%8
55.3%55%44.5%0.1%0%0.4%0%9
59.3%58.7%40.4%0.1%0%0.8%0%10
65.5%64.5%34%0.1%0%1.5%0%11
67.8%66.6%31.6%0.1%0%1.8%0%12
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample4.1s (35.2%)

Memory
71.6MiB live, 4 287.3MiB allocated
Samples
1.7s4 490×1valid
1.3s1 636×2valid
378.0ms2 056×0invalid
187.0ms2 074×0valid
52.0ms56×3valid
2.0ms17×1exit
Precisions
Click to see histograms. Total time spent on operations: 3.0s
ival-pow: 2.0s (67% of total)
ival-div: 365.0ms (12.2% of total)
ival-mult: 220.0ms (7.4% of total)
adjust: 163.0ms (5.5% of total)
ival-sub: 114.0ms (3.8% of total)
ival-add: 101.0ms (3.4% of total)
exact: 11.0ms (0.4% of total)
ival-true: 8.0ms (0.3% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

explain352.0ms (3%)

Memory
18.2MiB live, 520.4MiB allocated
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))
5782(2.837640293880491e-241 -4.5944035717765034e+265)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
450-4(1.0876032428289689e-199 1.902463218449748e+116)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
10-1(9.672605093962259e-199 1.335047514253986e-256)(*.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)sensitivity1160
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u410
↳(/.f64 i n)underflow41
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue230
↳(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow35
↳(/.f64 i n)overflow23
↳(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow23
Confusion
Predicted +Predicted -
+1970
-2831
Precision
0.8755555555555555
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+19700
-28031
Precision?
0.8755555555555555
Recall?
1.0
Freqs
test
numberfreq
031
1116
268
341
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
142.0ms288×1valid
83.0ms152×2valid
9.0ms68×0valid
3.0ms4×3valid
Compiler

Compiled 131 to 34 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 199.0ms
ival-pow: 140.0ms (70.3% of total)
ival-div: 21.0ms (10.5% of total)
adjust: 13.0ms (6.5% of total)
ival-add: 12.0ms (6% of total)
ival-sub: 6.0ms (3% of total)
ival-mult: 6.0ms (3% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess203.0ms (1.7%)

Memory
-69.7MiB live, 135.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02685
18281
224277
393477
4383277
5601477
01015
01615
13015
25615
310415
420315
546915
677915
7123615
8197915
9283415
10330615
11344715
12345715
13345815
14345815
15347815
16348615
17348615
0348614
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶25.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify123.0ms (1.1%)

Memory
24.3MiB live, 63.4MiB allocated
Algorithm
1×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-diff128
(*.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)))
cost-diff384
(/.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
13056
25656
310456
420356
546956
677956
7123656
8197956
9283456
10330656
11344756
12345756
13345856
14345856
15347856
16348656
17348656
0348655
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)
i
n
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) 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 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) n)
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(-.f64 (/.f64 i n) #s(literal -1 binary64))
#s(literal 1 binary64)
(/.f64 i n)
i
n

localize213.0ms (1.8%)

Memory
-38.2MiB live, 86.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.09816126178494128
(*.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)))
accuracy9.955314843042304
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
accuracy13.10380679918204
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy45.39063754427246
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
Samples
163.0ms144×1valid
33.0ms76×2valid
3.0ms34×0valid
2.0ms2×3valid
Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-pow: 145.0ms (85.5% of total)
ival-div: 8.0ms (4.7% of total)
adjust: 6.0ms (3.5% of total)
ival-sub: 3.0ms (1.8% of total)
ival-add: 3.0ms (1.8% of total)
ival-mult: 3.0ms (1.8% 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
17.1MiB live, 17.1MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())
Outputs
#s(alt n (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ 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))))))) (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* 100 n) (taylor 0 i) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 i) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))))) (taylor 0 i) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt i (taylor 0 i) (#s(alt (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 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)))))) (taylor 0 i) (#s(alt (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ 1 i) (taylor 0 i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 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) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 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) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
4.0ms
n
@0
((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
3.0ms
i
@inf
((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
3.0ms
i
@-inf
((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
3.0ms
n
@inf
((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
2.0ms
i
@0
((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))

simplify204.0ms (1.7%)

Memory
25.3MiB live, 177.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05153831
116243489
255113268
081232980
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
Calls
Call 1
Inputs
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)))))))
(* 100 n)
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i
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(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)
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(* (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) (+ (log i) (* -1 (log n)))) i))
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1
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(/ (* n (- (exp i) 1)) i)
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(/ (* n (- (exp i) 1)) i)
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
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(* -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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(* -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)))))
(- (exp i) 1)
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(- (+ (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)
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(+ (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
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)))))))
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(+ 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 (*.f64 i n) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(* 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))))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 i n) (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))) 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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i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
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(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) (/.f64 (exp.f64 i) n) (*.f64 (/.f64 (exp.f64 i) n) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (*.f64 n n)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) (expm1.f64 i))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 (*.f64 i (/.f64 (*.f64 (exp.f64 i) i) n)) #s(literal -1/2 binary64) (exp.f64 i))
(+ (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))))
(fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) (fma.f64 (*.f64 i (/.f64 (*.f64 (exp.f64 i) i) n)) #s(literal -1/2 binary64) (exp.f64 i)))
(+ (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)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) (/.f64 (exp.f64 i) n) (fma.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.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))) n) n)) (exp.f64 i)))
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 (expm1.f64 i) n) i)
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
(*.f64 (neg.f64 n) (fma.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 (exp.f64 i) n) (/.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 (+.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) 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))) n) i))) n) (/.f64 (expm1.f64 i) i)) n)
(* -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 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (/.f64 (*.f64 (exp.f64 i) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) #s(literal -1 binary64) (/.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)))) n) i))) (neg.f64 n))) n) (/.f64 (expm1.f64 i) i)) n)
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n))) 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)))))
(*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) i) #s(literal 100 binary64) (*.f64 #s(literal -50 binary64) i))) (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 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (*.f64 (exp.f64 i) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n) i) #s(literal 100 binary64) (*.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) #s(literal -100 binary64)))) (neg.f64 n))) (neg.f64 n))))
(- (exp i) 1)
(expm1.f64 i)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(fma.f64 (*.f64 i (/.f64 (*.f64 (exp.f64 i) i) n)) #s(literal -1/2 binary64) (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))) 1)
(fma.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 (*.f64 #s(literal 1/2 binary64) 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))) (neg.f64 n)))) n) #s(literal -1 binary64) (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 (*.f64 (exp.f64 i) (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)))) n) #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))))) (neg.f64 n))) (neg.f64 n)) (expm1.f64 i))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 (*.f64 i (/.f64 (*.f64 (exp.f64 i) i) n)) #s(literal -1/2 binary64) (exp.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 (*.f64 (exp.f64 i) (fma.f64 (*.f64 #s(literal 1/2 binary64) 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))) (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 (*.f64 (exp.f64 i) (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)))) n) #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))))) (neg.f64 n))) n))

rewrite218.0ms (1.9%)

Memory
-15.7MiB live, 236.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
01644
17344
257044
3735444
0866938
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 498
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.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
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eval272.0ms (2.3%)

Memory
10.6MiB live, 117.9MiB allocated
Compiler

Compiled 17 607 to 2 118 computations (88% saved)

prune31.0ms (0.3%)

Memory
-33.9MiB live, 55.5MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New57121592
Fresh000
Picked011
Done000
Total57122593
Accuracy
100.0%
Counts
593 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.0%
(/.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 n i) #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 n i)))
63.8%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) i)
75.1%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
74.5%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
▶73.3%
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
73.3%
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
▶19.0%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
19.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
✓25.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
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)))
18.1%
(*.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)))
42.1%
(*.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)))
44.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
11.9%
(*.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)))
60.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
24.7%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i)))
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)))
▶57.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n)))
69.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
11.4%
(*.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))))
▶75.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
▶53.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Compiler

Compiled 653 to 480 computations (26.5% saved)

simplify156.0ms (1.3%)

Memory
39.9MiB live, 190.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff0
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
cost-diff0
(/.f64 n i)
cost-diff0
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
cost-diff0
(+.f64 (/.f64 i n) #s(literal 1 binary64))
cost-diff0
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
cost-diff0
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
cost-diff0
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
cost-diff0
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n))
cost-diff0
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n)))
cost-diff512
(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)))
cost-diff960
(fma.f64 (*.f64 i n) (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))) 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) #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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045345
081341
1158341
2337329
3888329
42733329
56384329
08203313
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#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
#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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n)))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n))
(fma.f64 (*.f64 i n) (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))) n)
(*.f64 i n)
i
n
(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)))
(-.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 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
#s(literal 100 binary64)
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))
(/.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 (neg.f64 n) i)
(neg.f64 n)
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(/.f64 n i)
n
i
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
#s(literal 100 binary64)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(*.f64 (*.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
#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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n)))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) i (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)))) i n)) #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) i (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)))) i n))
(fma.f64 (*.f64 i n) (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))) n)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) i (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)))) i n)
(*.f64 i n)
(*.f64 n i)
i
n
(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)))
(fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i #s(literal 1/2 binary64)))
(-.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 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal -1/3 binary64) (*.f64 n n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
#s(literal 100 binary64)
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i))
(/.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 (neg.f64 n) i)
(neg.f64 n)
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(/.f64 n i)
n
i
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
#s(literal 100 binary64)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)

localize507.0ms (4.3%)

Memory
-8.7MiB live, 389.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.1015625
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
accuracy5.584679781984158
(log1p.f64 (/.f64 i n))
accuracy9.972449005016092
(*.f64 (log1p.f64 (/.f64 i n)) n)
accuracy10.470915081251766
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
accuracy0.0078125
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
accuracy0.08644251178494128
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
accuracy13.10380679918204
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy40.561909966814824
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))
accuracy0.6136139615302516
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
accuracy4.162925646721906
(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)))
accuracy4.184944699520726
(fma.f64 (*.f64 i n) (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))) n)
accuracy22.151337783225102
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n))
accuracy0
(*.f64 #s(literal 100 binary64) n)
accuracy27.53627964278234
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
accuracy0.01171875
(/.f64 (expm1.f64 i) i)
accuracy0.0390625
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
accuracy0.0546875
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
accuracy13.054724929551533
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
Samples
317.0ms144×1valid
71.0ms50×2valid
28.0ms47×0valid
7.0ms3×3valid
6.0ms2×5exit
4.0ms10×0invalid
Compiler

Compiled 315 to 45 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 245.0ms
ival-pow: 103.0ms (42% of total)
ival-mult: 44.0ms (17.9% of total)
ival-div: 24.0ms (9.8% of total)
adjust: 22.0ms (9% of total)
ival-add: 22.0ms (9% of total)
const: 10.0ms (4.1% of total)
ival-expm1: 7.0ms (2.9% of total)
ival-sub: 7.0ms (2.9% of total)
ival-log1p: 5.0ms (2% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series72.0ms (0.6%)

Memory
-24.3MiB live, 94.5MiB allocated
Counts
22 → 480
Calls
Call 1
Inputs
#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) (patch (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) (patch (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (expm1.f64 i) i) (patch (/.f64 (expm1.f64 i) i) #<representation binary64>) () ())
#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) n) (patch (*.f64 #s(literal 100 binary64) n) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 i n) (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))) n) (patch (fma.f64 (*.f64 i n) (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))) n) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n))) (patch (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n)) (patch #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) (patch (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (patch (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (patch (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (patch (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) #<representation binary64>) () ())
#s(alt (/.f64 n i) (patch (/.f64 n i) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (patch (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #<representation binary64>) () ())
#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)) (patch (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)) #<representation binary64>) () ())
#s(alt (*.f64 (log1p.f64 (/.f64 i n)) n) (patch (*.f64 (log1p.f64 (/.f64 i n)) n) #<representation binary64>) () ())
#s(alt (log1p.f64 (/.f64 i n)) (patch (log1p.f64 (/.f64 i n)) #<representation binary64>) () ())
Outputs
#s(alt (* 100 n) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))))) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) #<representation binary64>) () ())) ())
#s(alt (* 100 n) (taylor 0 i) (#s(alt (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) (patch (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) #<representation binary64>) () ())) ())
#s(alt (+ (* 50 (* i n)) (* 100 n)) (taylor 0 i) (#s(alt (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) (patch (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n)))) (taylor 0 i) (#s(alt (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) (patch (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))))) (taylor 0 i) (#s(alt (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) (patch (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 i) (#s(alt (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) (patch (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* 50 i)) (taylor 0 i) (#s(alt (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) (patch (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* i (+ 50 (* 50/3 i)))) (taylor 0 i) (#s(alt (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) (patch (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) (taylor 0 i) (#s(alt (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) (patch (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 i) (#s(alt (/.f64 (expm1.f64 i) i) (patch (/.f64 (expm1.f64 i) i) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 i)) (taylor 0 i) (#s(alt (/.f64 (expm1.f64 i) i) (patch (/.f64 (expm1.f64 i) i) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* i (+ 1/2 (* 1/6 i)))) (taylor 0 i) (#s(alt (/.f64 (expm1.f64 i) i) (patch (/.f64 (expm1.f64 i) i) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))) (taylor 0 i) (#s(alt (/.f64 (expm1.f64 i) i) (patch (/.f64 (expm1.f64 i) i) #<representation binary64>) () ())) ())
#s(alt (* 100 n) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))))) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 i) (#s(alt (fma.f64 (*.f64 i n) (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))) n) (patch (fma.f64 (*.f64 i n) (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))) n) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (fma.f64 (*.f64 i n) (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))) n) (patch (fma.f64 (*.f64 i n) (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))) n) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (fma.f64 (*.f64 i n) (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))) n) (patch (fma.f64 (*.f64 i n) (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))) n) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (fma.f64 (*.f64 i n) (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))) n) (patch (fma.f64 (*.f64 i n) (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))) n) #<representation binary64>) () ())) ())
#s(alt (- 1/2 (* 1/2 (/ 1 n))) (taylor 0 i) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))) (taylor 0 i) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))) (taylor 0 i) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))) (taylor 0 i) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* 100 n) (taylor 0 i) (#s(alt (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n))) (patch (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n))) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n))) (patch (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n))) #<representation binary64>) () ())) ())
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#s(alt (/ n i) (taylor -inf n) (#s(alt (/.f64 n i) (patch (/.f64 n i) #<representation binary64>) () ())) ())
#s(alt (/ n i) (taylor -inf n) (#s(alt (/.f64 n i) (patch (/.f64 n i) #<representation binary64>) () ())) ())
#s(alt (* 100 (- (exp i) 1)) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (patch (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #<representation binary64>) () ())) ())
#s(alt (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1))) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (patch (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (patch (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (patch (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #<representation binary64>) () ())) ())
#s(alt (- (exp i) 1) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (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) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (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) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i)))) (taylor -inf n) (#s(alt (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)) (patch (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* 1/2 (/ (* i (exp i)) n)) (/ 1 i))))) (taylor -inf n) (#s(alt (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)) (patch (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)) #<representation binary64>) () ())) ())
#s(alt (* -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))))) (taylor -inf n) (#s(alt (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)) (patch (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)) #<representation binary64>) () ())) ())
#s(alt (* -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))))) (taylor -inf n) (#s(alt (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)) (patch (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)) #<representation binary64>) () ())) ())
#s(alt i (taylor -inf n) (#s(alt (*.f64 (log1p.f64 (/.f64 i n)) n) (patch (*.f64 (log1p.f64 (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ i (* -1/2 (/ (pow i 2) n))) (taylor -inf n) (#s(alt (*.f64 (log1p.f64 (/.f64 i n)) n) (patch (*.f64 (log1p.f64 (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) (taylor -inf n) (#s(alt (*.f64 (log1p.f64 (/.f64 i n)) n) (patch (*.f64 (log1p.f64 (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n))) (taylor -inf n) (#s(alt (*.f64 (log1p.f64 (/.f64 i n)) n) (patch (*.f64 (log1p.f64 (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (/ i n) (taylor -inf n) (#s(alt (log1p.f64 (/.f64 i n)) (patch (log1p.f64 (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n)) (taylor -inf n) (#s(alt (log1p.f64 (/.f64 i n)) (patch (log1p.f64 (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n)) (taylor -inf n) (#s(alt (log1p.f64 (/.f64 i n)) (patch (log1p.f64 (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n)) (taylor -inf n) (#s(alt (log1p.f64 (/.f64 i n)) (patch (log1p.f64 (/.f64 i n)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
15.0ms
i
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 1/3 (* n n)) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))))
14.0ms
n
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 1/3 (* n n)) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))))
7.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 1/3 (* n n)) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))))
5.0ms
n
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 1/3 (* n n)) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))))
4.0ms
n
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 1/3 (* n n)) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))))

simplify238.0ms (2%)

Memory
18.1MiB live, 262.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108713720
1342512637
0858111634
Stop Event
1×iter limit
1×node limit
Counts
480 → 474
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))))))))))
(* 100 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))))))
1
(+ 1 (* 1/2 i))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))
(* 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 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(- 1/2 (* 1/2 (/ 1 n)))
(- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))
(- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))
(- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))
(* 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)))))))
(* 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 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)
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)))))))
1
(+ 1 (/ i n))
(+ 1 (/ i n))
(+ 1 (/ i n))
(* 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 i)
(/ n i)
(/ n i)
(/ n i)
(* 100 i)
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))
(* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
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))))))
(/ (+ 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)
i
(* i (+ 1 (* -1/2 (/ i n))))
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))
(/ i n)
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 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 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (- (exp i) 1) i))
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(+ 1/2 (* 1/6 i))
(- (+ 1/2 (+ (* -1/2 (/ i n)) (* 1/6 i))) (* 1/2 (/ 1 n)))
(- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n)))
(- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n)))
(* 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)))
(* 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
(+ 1 (/ i n))
(+ 1 (/ i n))
(+ 1 (/ i n))
(* 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 i)
(/ n i)
(/ n i)
(/ n i)
(* 100 (- (exp i) 1))
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
(- (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)
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(* 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)))
i
(+ i (* -1/2 (/ (pow i 2) n)))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))
(/ i n)
(/ (+ i (* -1/2 (/ (pow i 2) n))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)
(* 100 (/ (* n (- (exp i) 1)) i))
(* -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)))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* -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)))))
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* -1 (* n (- (* -1 (* i (+ 1/2 (* 1/6 i)))) 1)))
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (/ (* i (+ 1/2 (* 1/2 i))) n)) 1)))
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (* -1 (/ (+ (* -1 (* i (+ 1/2 (* 1/2 i)))) (* 1/3 (/ (pow i 2) n))) n))) 1)))
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (* -1 (/ (+ (* -1 (* i (+ 1/2 (* 1/2 i)))) (* 1/3 (/ (pow i 2) n))) n))) 1)))
(+ 1/2 (* 1/6 i))
(+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 i)) n)) (* 1/6 i)))
(+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ i n)) (* 1/2 i))) n)) (* 1/6 i)))
(+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ i n)) (* 1/2 i))) n)) (* 1/6 i)))
(* 100 (/ (* n (- (exp i) 1)) i))
(* -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)))))
(/ (* n (- (exp i) 1)) i)
(* -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)))))
(* -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))))))
(/ (exp i) i)
(+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) 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)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (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)))
1
(+ 1 (/ i n))
(+ 1 (/ i n))
(+ 1 (/ i n))
(* 100 (/ (* n (- (exp i) 1)) i))
(* -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)))))
(/ n i)
(/ n i)
(/ n i)
(/ n i)
(* 100 (- (exp i) 1))
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))
(- (exp i) 1)
(- (+ (exp i) (* -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))) 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)
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(* -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)))))
i
(+ i (* -1/2 (/ (pow i 2) n)))
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))
(/ i n)
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
Outputs
(* 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 i n) (-.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 i n) (-.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 i n) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))
(* 100 n)
(*.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))
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))
(* 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 i n) (-.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 i n) (-.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 i n) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64)))
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 i n) (-.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 i n) (-.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 (* 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 i n) (-.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)
(- 1/2 (* 1/2 (/ 1 n)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))
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(/ (exp i) i)
(/.f64 (exp.f64 i) i)
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(exp i)
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1
#s(literal 1 binary64)
(+ 1 (/ i n))
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(+ 1 (/ i n))
(+.f64 (/.f64 i n) #s(literal 1 binary64))
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(* -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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(/ n i)
(/.f64 n i)
(/ n i)
(/.f64 n i)
(/ n i)
(/.f64 n i)
(/ n i)
(/.f64 n i)
(* 100 (- (exp i) 1))
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))
(fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -50 binary64) (*.f64 (expm1.f64 i) #s(literal 100 binary64)))
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))
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(- (exp i) 1)
(expm1.f64 i)
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(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
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(- (+ (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 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n))) (neg.f64 n)) (expm1.f64 i))
(/ 1/3 (pow n 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/ 1/3 (pow n 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/ 1/3 (pow n 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/ 1/3 (pow n 2))
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(* -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)))))
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i
(+ i (* -1/2 (/ (pow i 2) n)))
(fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i)
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
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(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))
(-.f64 i (/.f64 (fma.f64 (*.f64 i i) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal -1/4 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (neg.f64 n))) n))
(/ i n)
(/.f64 i n)
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) (neg.f64 n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 1/3 binary64) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n) i)) (neg.f64 n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (neg.f64 n))) (neg.f64 n)) i) (neg.f64 n))

rewrite170.0ms (1.5%)

Memory
15.5MiB live, 213.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045281
081277
1328265
22674257
08241257
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 905
Calls
Call 1
Inputs
#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)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) n)
(fma.f64 (*.f64 i n) (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))) n)
(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)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n))
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(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(/.f64 n i)
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
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(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
Outputs
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eval334.0ms (2.9%)

Memory
14.1MiB live, 315.3MiB allocated
Compiler

Compiled 37 453 to 4 549 computations (87.9% saved)

prune99.0ms (0.8%)

Memory
-14.7MiB live, 111.0MiB allocated
Pruning

39 alts after pruning (37 fresh and 2 done)

PrunedKeptTotal
New1 349301 379
Fresh9716
Picked325
Done101
Total1 362391 401
Accuracy
100.0%
Counts
1 401 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.0%
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
19.7%
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))
18.4%
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))
74.8%
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
74.5%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
25.0%
(*.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)))
25.0%
(*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) #s(literal -100 binary64)))
✓73.3%
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
▶59.2%
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))))
11.9%
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))))
59.3%
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))))
43.6%
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64)) i)))
44.5%
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i #s(literal 100 binary64))))
73.3%
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
23.2%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
12.1%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
19.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
11.7%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (/.f64 (neg.f64 i) n) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (neg.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)))
11.9%
(*.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)))
24.7%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i)))
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)))
11.4%
(*.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))))
44.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
61.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
10.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
69.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
▶59.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
▶75.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))))
▶62.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
59.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (expm1.f64 i) (*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64)))))
62.2%
#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))
61.7%
#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))
60.1%
#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))
✓53.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
62.2%
#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 n #s(literal 100 binary64)))))
61.7%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
54.0%
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i n) #s(literal 100 binary64) #s(literal 0 binary64)) i))
▶18.4%
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
Compiler

Compiled 1 063 to 837 computations (21.3% saved)

simplify165.0ms (1.4%)

Memory
-6.8MiB live, 71.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))))
cost-diff0
(/.f64 n i)
cost-diff0
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))))
cost-diff704
(*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i)
cost-diff0
(neg.f64 (expm1.f64 i))
cost-diff0
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
cost-diff832
(/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64))
cost-diff0
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
cost-diff0
(*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
cost-diff0
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
cost-diff704
(/.f64 #s(literal 0 binary64) i)
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
060406
090393
1169392
2359390
3905390
42387384
54591384
66453384
08451366
Stop Event
1×iter limit
1×node limit
1×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 (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
(/.f64 #s(literal 0 binary64) i)
#s(literal 0 binary64)
i
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
(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))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
i
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 100 binary64)
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64))
(neg.f64 (expm1.f64 i))
(expm1.f64 i)
i
#s(literal -1 binary64)
(*.f64 (/.f64 n i) #s(literal 100 binary64))
(/.f64 n i)
n
#s(literal 100 binary64)
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))))
(/.f64 n i)
n
i
(*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))))
#s(literal 100 binary64)
(expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))
(fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)
(*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i)
(fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n))
(/.f64 #s(literal 1/3 binary64) n)
#s(literal 1/3 binary64)
(/.f64 i n)
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
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) (/ (neg n) i))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) 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 (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(literal 0 binary64))
(/.f64 #s(literal 0 binary64) i)
#s(literal 0 binary64)
#s(literal 0 binary64)
i
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))))
(*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
(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))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
i
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 100 binary64)
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))
(/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64))
(expm1.f64 i)
(neg.f64 (expm1.f64 i))
(expm1.f64 i)
i
#s(literal -1 binary64)
(*.f64 (/.f64 n i) #s(literal 100 binary64))
(/.f64 n i)
n
#s(literal 100 binary64)
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))))
(*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (/.f64 i n) i) (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i #s(literal -1/2 binary64)) i))) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(/.f64 n i)
n
i
(*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))))
(*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (/.f64 i n) i) (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i #s(literal -1/2 binary64)) i))) #s(literal 100 binary64))
#s(literal 100 binary64)
(expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))
(expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (/.f64 i n) i) (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i #s(literal -1/2 binary64)) i)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (/.f64 i n) i) (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i #s(literal -1/2 binary64)) i))
(fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)
(fma.f64 (*.f64 (/.f64 i n) i) (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i #s(literal -1/2 binary64)) i)
(*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i)
(*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i #s(literal -1/2 binary64)) (/.f64 i n))
(fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n))
(fma.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) n) i (/.f64 #s(literal -1/2 binary64) n))
(/.f64 #s(literal 1/3 binary64) n)
#s(literal 1/3 binary64)
(/.f64 i n)
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)

localize454.0ms (3.9%)

Memory
-15.4MiB live, 320.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.7061069083114379
(fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)
accuracy1.797833276202707
(*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i)
accuracy10.470915081251766
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))))
accuracy19.34413652991531
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))
accuracy0
(expm1.f64 i)
accuracy0.18585670288117193
(*.f64 (/.f64 n i) #s(literal 100 binary64))
accuracy12.658415081251768
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
accuracy13.050818679551533
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
accuracy0.05078125
(*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
accuracy0.109375
(fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))
accuracy13.050818679551533
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
accuracy13.846512675754417
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
accuracy0
(/.f64 #s(literal 0 binary64) i)
accuracy49.073098066893415
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
accuracy0
(expm1.f64 i)
accuracy0.01171875
(/.f64 (expm1.f64 i) i)
accuracy0.29625734213693145
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
accuracy13.050818679551533
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))))
Samples
201.0ms144×1valid
111.0ms50×2valid
44.0ms2×3valid
20.0ms47×0valid
10.0ms3×5exit
4.0ms10×0invalid
Compiler

Compiled 302 to 57 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 351.0ms
ival-pow: 116.0ms (33.1% of total)
ival-expm1: 57.0ms (16.2% of total)
adjust: 47.0ms (13.4% of total)
ival-mult: 44.0ms (12.5% of total)
ival-add: 34.0ms (9.7% of total)
ival-div: 27.0ms (7.7% of total)
const: 15.0ms (4.3% of total)
ival-log1p: 5.0ms (1.4% of total)
ival-sub: 3.0ms (0.9% of total)
ival-neg: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series59.0ms (0.5%)

Memory
17.9MiB live, 56.6MiB allocated
Counts
22 → 432
Calls
Call 1
Inputs
#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))) (patch (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (expm1.f64 i) i) (patch (/.f64 (expm1.f64 i) i) #<representation binary64>) () ())
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#s(alt (/.f64 #s(literal 0 binary64) i) (patch (/.f64 #s(literal 0 binary64) i) #<representation binary64>) () ())
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#s(alt (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n) (patch (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) (patch (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) (patch #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (patch (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) #<representation binary64>) () ())
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Outputs
#s(alt (* 100 n) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* 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)))))))) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))))) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 i) (#s(alt (/.f64 (expm1.f64 i) i) (patch (/.f64 (expm1.f64 i) i) #<representation binary64>) () ())) ())
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#s(alt i (taylor 0 i) (#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())) ())
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#s(alt (* i (+ 1 (* i (+ 1/2 (* 1/6 i))))) (taylor 0 i) (#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())) ())
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#s(alt 0 (taylor 0 i) (#s(alt (/.f64 #s(literal 0 binary64) i) (patch (/.f64 #s(literal 0 binary64) i) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 i) (#s(alt (/.f64 #s(literal 0 binary64) i) (patch (/.f64 #s(literal 0 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (+ n (* -1 n)) i)) (taylor 0 i) (#s(alt #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) (patch #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i) (taylor 0 i) (#s(alt #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) (patch #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) (taylor 0 i) (#s(alt #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) (patch #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 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) (taylor 0 i) (#s(alt #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) (patch #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 n) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))))) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)) #<representation binary64>) () ())) ())
#s(alt (* 100 n) (taylor 0 i) (#s(alt (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n) (patch (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n) #<representation binary64>) () ())) ())
#s(alt (+ (* 50 (* i n)) (* 100 n)) (taylor 0 i) (#s(alt (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n) (patch (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n)))) (taylor 0 i) (#s(alt (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n) (patch (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))))) (taylor 0 i) (#s(alt (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n) (patch (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 i) (#s(alt (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) (patch (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* 50 i)) (taylor 0 i) (#s(alt (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) (patch (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))) (patch (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))) (patch (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ n i)) (taylor -inf n) (#s(alt (*.f64 (/.f64 n i) #s(literal 100 binary64)) (patch (*.f64 (/.f64 n i) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ n i)) (taylor -inf n) (#s(alt (*.f64 (/.f64 n i) #s(literal 100 binary64)) (patch (*.f64 (/.f64 n i) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ n i)) (taylor -inf n) (#s(alt (*.f64 (/.f64 n i) #s(literal 100 binary64)) (patch (*.f64 (/.f64 n i) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ n i)) (taylor -inf n) (#s(alt (*.f64 (/.f64 n i) #s(literal 100 binary64)) (patch (*.f64 (/.f64 n i) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt i (taylor -inf n) (#s(alt #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)) (patch #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)) #<representation binary64>) () ())) ())
#s(alt (+ i (* -1/2 (/ (pow i 2) n))) (taylor -inf n) (#s(alt #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)) (patch #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)) #<representation binary64>) () ())) ())
#s(alt (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) (taylor -inf n) (#s(alt #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)) (patch #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)) #<representation binary64>) () ())) ())
#s(alt (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n))) (taylor -inf n) (#s(alt #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)) (patch #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)) #<representation binary64>) () ())) ())
#s(alt i (taylor -inf n) (#s(alt (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i) (patch (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i) #<representation binary64>) () ())) ())
#s(alt (+ i (* -1/2 (/ (pow i 2) n))) (taylor -inf n) (#s(alt (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i) (patch (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i) #<representation binary64>) () ())) ())
#s(alt (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) (taylor -inf n) (#s(alt (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i) (patch (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i) #<representation binary64>) () ())) ())
#s(alt (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) (taylor -inf n) (#s(alt (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i) (patch (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
22.0ms
n
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (- (exp i) 1) i) (* n 100)) (/ (- (exp i) 1) i) (- (exp i) 1) (/ 0 i) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (/ (neg (- (exp i) 1)) -1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (neg (- (exp i) 1)) -1) (* (/ n i) 100)) (neg (- (exp i) 1)) (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (+ (* 1/24 i) 1/6) (* (/ n i) 100) (* (log (+ 1 (/ i n))) n) (+ (* (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) i) i))
4.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (- (exp i) 1) i) (* n 100)) (/ (- (exp i) 1) i) (- (exp i) 1) (/ 0 i) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (/ (neg (- (exp i) 1)) -1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (neg (- (exp i) 1)) -1) (* (/ n i) 100)) (neg (- (exp i) 1)) (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (+ (* 1/24 i) 1/6) (* (/ n i) 100) (* (log (+ 1 (/ i n))) n) (+ (* (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) i) i))
4.0ms
i
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (- (exp i) 1) i) (* n 100)) (/ (- (exp i) 1) i) (- (exp i) 1) (/ 0 i) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (/ (neg (- (exp i) 1)) -1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (neg (- (exp i) 1)) -1) (* (/ n i) 100)) (neg (- (exp i) 1)) (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (+ (* 1/24 i) 1/6) (* (/ n i) 100) (* (log (+ 1 (/ i n))) n) (+ (* (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) i) i))
3.0ms
n
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (- (exp i) 1) i) (* n 100)) (/ (- (exp i) 1) i) (- (exp i) 1) (/ 0 i) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (/ (neg (- (exp i) 1)) -1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (neg (- (exp i) 1)) -1) (* (/ n i) 100)) (neg (- (exp i) 1)) (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (+ (* 1/24 i) 1/6) (* (/ n i) 100) (* (log (+ 1 (/ i n))) n) (+ (* (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) i) i))
3.0ms
n
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (- (exp i) 1) i) (* n 100)) (/ (- (exp i) 1) i) (- (exp i) 1) (/ 0 i) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (/ (neg (- (exp i) 1)) -1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (neg (- (exp i) 1)) -1) (* (/ n i) 100)) (neg (- (exp i) 1)) (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (+ (* 1/24 i) 1/6) (* (/ n i) 100) (* (log (+ 1 (/ i n))) n) (+ (* (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) i) i))

simplify284.0ms (2.4%)

Memory
-15.6MiB live, 225.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06959074
121738535
269668480
081427704
Stop Event
1×iter limit
1×node limit
Counts
432 → 424
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))))))))))
(* 100 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))))))
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 (* 1/2 i)))
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
0
0
0
0
(* 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)
(* 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))))))))))
(* 100 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))))))
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 (* 1/2 i)))
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(* 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))))))))))
(* 100 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))))))
(* -1 i)
(* i (- (* -1/2 i) 1))
(* i (- (* i (- (* -1/6 i) 1/2)) 1))
(* i (- (* i (- (* i (- (* -1/24 i) 1/6)) 1/2)) 1))
(* -1/2 (/ i n))
(* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))
(* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))
(* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))
(* 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 i)
(/ n i)
(/ n i)
(/ n i)
(* 100 i)
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))
(* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
1/6
(+ 1/6 (* 1/24 i))
(+ 1/6 (* 1/24 i))
(+ 1/6 (* 1/24 i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
i
(* i (+ 1 (* -1/2 (/ i n))))
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))
i
(* i (+ 1 (* -1/2 (/ i n))))
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 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 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
0
0
0
0
(* 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)
(* 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)
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(* (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)))))))))))
(/ n i)
(/ n i)
(/ n i)
(/ n i)
(* 100 (* n (+ (log i) (* -1 (log n)))))
(* n (+ (* 100 (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (* 100 (+ (log i) (* -1 (log n))))))
(* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))))) (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)))))))) (* 100 (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))))))))))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* n (+ (log i) (* -1 (log n))))
(* n (+ (log i) (+ (* -1 (log n)) (/ n i))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))
(* 1/3 (/ (pow i 3) (pow n 2)))
(/ (+ (* -1/2 (* (pow i 2) n)) (* 1/3 (pow i 3))) (pow n 2))
(/ (+ (* 1/3 (pow i 3)) (* n (+ (* -1/2 (pow i 2)) (* i n)))) (pow n 2))
(/ (+ (* 1/3 (pow i 3)) (* n (+ (* -1/2 (pow i 2)) (* i n)))) (pow n 2))
(* 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))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 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))))))))
(* 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))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 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))))))
(* -100 (/ (* n (- 1 (exp i))) i))
(* -100 (/ (* n (- 1 (exp i))) i))
(* -100 (/ (* n (- 1 (exp i))) i))
(* -100 (/ (* n (- 1 (exp i))) i))
(* -1/2 (/ i n))
(/ (+ (* -1/2 i) (* 1/3 (/ (pow i 2) n))) n)
(/ (+ (* -1/2 i) (* 1/3 (/ (pow i 2) n))) n)
(/ (+ (* -1/2 i) (* 1/3 (/ (pow i 2) n))) n)
(* 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 i)
(/ n i)
(/ n i)
(/ n i)
(* 100 (- (exp i) 1))
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
i
(+ i (* -1/2 (/ (pow i 2) n)))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))
i
(+ i (* -1/2 (/ (pow i 2) n)))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* -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)))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 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))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* -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)))))
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(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* -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)))))
(* -100 (/ (* n (- 1 (exp i))) i))
(* -100 (/ (* n (- 1 (exp i))) i))
(* -100 (/ (* n (- 1 (exp i))) i))
(* -100 (/ (* n (- 1 (exp i))) i))
(* -1/2 (/ i n))
(* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* 1/2 i)) n))
(* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* 1/2 i)) n))
(* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* 1/2 i)) n))
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(* -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)))))
(/ n i)
(/ n i)
(/ n i)
(/ n i)
(* 100 (- (exp i) 1))
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
i
(+ i (* -1/2 (/ (pow i 2) n)))
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))
i
(+ i (* -1/2 (/ (pow i 2) n)))
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) 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 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64)) n (*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.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) 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)))
(* 100 n)
(*.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)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* 100 (/ (+ n (* -1 n)) i))
#s(literal 0 binary64)
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i)
(/.f64 (*.f64 (*.f64 i n) #s(literal 100 binary64)) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) n n)) i) 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 (*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i) n (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))) i) i)
(* 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) 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 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64)) n (*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.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) 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)))
(* 100 n)
(*.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))
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)
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(*.f64 (/.f64 n i) #s(literal 100 binary64))
i
(+ i (* -1/2 (/ (pow i 2) n)))
(*.f64 (fma.f64 (/.f64 i n) #s(literal -1/2 binary64) #s(literal 1 binary64)) i)
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
(-.f64 i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal -1/3 binary64) (*.f64 (*.f64 i i) #s(literal 1/2 binary64))) n))
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))
(-.f64 i (/.f64 (fma.f64 (*.f64 i i) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal -1/4 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (neg.f64 n))) n))
i
(+ i (* -1/2 (/ (pow i 2) n)))
(*.f64 (fma.f64 (/.f64 i n) #s(literal -1/2 binary64) #s(literal 1 binary64)) i)
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
(-.f64 i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal -1/3 binary64) (*.f64 (*.f64 i i) #s(literal 1/2 binary64))) n))
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
(-.f64 i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal -1/3 binary64) (*.f64 (*.f64 i i) #s(literal 1/2 binary64))) n))

rewrite159.0ms (1.4%)

Memory
1.1MiB live, 233.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060316
090303
1360300
22845300
08788286
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 589
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)
(/.f64 #s(literal 0 binary64) i)
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(neg.f64 (expm1.f64 i))
(*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i)
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))))
(/.f64 n i)
(*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))))
(fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))
(*.f64 (/.f64 n i) #s(literal 100 binary64))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))
(fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)
Outputs
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eval140.0ms (1.2%)

Memory
21.5MiB live, 257.3MiB allocated
Compiler

Compiled 24 762 to 3 145 computations (87.3% saved)

prune71.0ms (0.6%)

Memory
-4.0MiB live, 159.2MiB allocated
Pruning

46 alts after pruning (43 fresh and 3 done)

PrunedKeptTotal
New1 114171 131
Fresh62632
Picked415
Done022
Total1 124461 170
Accuracy
100.0%
Counts
1 170 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.0%
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
19.7%
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))
18.4%
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))
▶74.8%
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
74.5%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
25.0%
(*.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)))
25.0%
(*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) #s(literal -100 binary64)))
✓73.3%
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
59.3%
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 #s(approx (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (/.f64 (fma.f64 (*.f64 i (/.f64 i n)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) i)) n)) i i)))))
59.3%
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))))
43.6%
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64)) i)))
12.0%
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) n)))
44.5%
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i #s(literal 100 binary64))))
73.3%
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
▶23.2%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
12.1%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
19.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
11.7%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (/.f64 (neg.f64 i) n) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (neg.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)))
11.9%
(*.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)))
24.7%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i)))
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)))
44.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
61.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
10.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
69.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
59.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n #s(literal 100 binary64))))))
59.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 100 binary64))))
✓75.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))))
62.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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)) i) (*.f64 n #s(literal 100 binary64))))
44.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (neg (- (exp i) 1)) (neg.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
62.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
▶62.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
62.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
▶62.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
60.1%
#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))))
45.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (neg (- (exp i) 1)) -1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
62.2%
#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))
61.7%
#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))
60.1%
#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))
✓53.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
59.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal -100 binary64) (/.f64 (/.f64 n i) (/.f64 #s(literal -1 binary64) (expm1.f64 i)))))
62.2%
#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)))))
61.7%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
▶18.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
54.0%
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (*.f64 (*.f64 i n) #s(literal 100 binary64)) i))
Compiler

Compiled 1 294 to 1 039 computations (19.7% saved)

simplify144.0ms (1.2%)

Memory
3.3MiB live, 127.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n)
cost-diff0
(/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i)
cost-diff128
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
cost-diff704
(fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i))
cost-diff0
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
cost-diff0
(*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
cost-diff0
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
cost-diff0
(*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
cost-diff0
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff0
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
cost-diff0
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i)
cost-diff0
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056504
090498
1158498
2263494
3447494
4758494
51497494
62621494
73986494
85318494
96646494
08093470
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i)
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
#s(literal 100 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64))
#s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i))
(*.f64 #s(literal 1/24 binary64) i)
#s(literal 1/24 binary64)
i
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 100 binary64)
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64))
#s(literal 1/576 binary64)
(*.f64 i i)
i
#s(literal -1/36 binary64)
(fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
#s(literal 100 binary64)
(fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i))
(/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i)
(pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n)
#s(approx (+ (/ i n) 1) (/.f64 i n))
(/.f64 i n)
i
n
(/.f64 (neg.f64 n) i)
(neg.f64 n)
Outputs
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
(*.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i)
(*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
#s(literal 100 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) n) #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 (*.f64 #s(literal 100 binary64) n) #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))))
(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64))
#s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i))
(*.f64 #s(literal 1/24 binary64) i)
#s(literal 1/24 binary64)
i
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 100 binary64)
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) n) #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 i (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) (fma.f64 (*.f64 i i) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) i #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 (*.f64 #s(literal 100 binary64) n) #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 i (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) (fma.f64 (*.f64 i i) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))))
(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 i (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) (fma.f64 (*.f64 i i) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 i (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) (fma.f64 (*.f64 i i) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 i (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) (fma.f64 (*.f64 i i) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64))
(fma.f64 (/.f64 i (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) (fma.f64 (*.f64 i i) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)))
(/.f64 (fma.f64 (*.f64 i i) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64))
(fma.f64 (*.f64 i i) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
#s(literal 1/576 binary64)
(*.f64 i i)
i
#s(literal -1/36 binary64)
(fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
#s(literal 100 binary64)
(fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i))
(*.f64 (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 n i))
(/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i)
(pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n)
#s(approx (+ (/ i n) 1) (/.f64 i n))
(/.f64 i n)
i
n
(/.f64 (neg.f64 n) i)
(neg.f64 n)

localize336.0ms (2.9%)

Memory
3.8MiB live, 520.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.08644251178494128
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
accuracy13.10380679918204
(pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n)
accuracy40.14293006072034
#s(approx (+ (/ i n) 1) (/.f64 i n))
accuracy40.561909966814824
(fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i))
accuracy0.109375
(fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))
accuracy10.513673845657488
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)))
accuracy13.054724929551533
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
accuracy13.846512675754417
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
accuracy0.3125
(*.f64 #s(literal 1/24 binary64) i)
accuracy13.054724929551533
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
accuracy13.846512675754417
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
accuracy37.796243973918536
#s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i))
accuracy49.31085819937258
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
accuracy0.1015625
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
accuracy0.15625
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i)
accuracy5.584679781984158
(log1p.f64 (/.f64 i n))
accuracy9.972449005016092
(*.f64 (log1p.f64 (/.f64 i n)) n)
Samples
168.0ms144×1valid
82.0ms50×2valid
20.0ms47×0valid
9.0ms3×3valid
6.0ms2×5exit
4.0ms10×0invalid
Compiler

Compiled 350 to 52 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 244.0ms
ival-pow: 88.0ms (36.1% of total)
ival-mult: 41.0ms (16.8% of total)
const: 25.0ms (10.3% of total)
ival-div: 24.0ms (9.9% of total)
adjust: 24.0ms (9.9% of total)
ival-add: 21.0ms (8.6% of total)
ival-log1p: 8.0ms (3.3% of total)
ival-expm1: 7.0ms (2.9% of total)
ival-sub: 3.0ms (1.2% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.3%)

Memory
6.4MiB live, 44.8MiB allocated
Counts
24 → 480
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) (patch (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) (patch (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) #<representation binary64>) () ())
#s(alt (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (patch (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())
#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n) (patch (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) (patch (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) (patch #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n) (patch (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) (patch (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) (patch #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)) (patch (fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i))) (patch (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) (patch (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) #<representation binary64>) () ())
#s(alt (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) (patch (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #<representation binary64>) () ())
#s(alt (*.f64 (log1p.f64 (/.f64 i n)) n) (patch (*.f64 (log1p.f64 (/.f64 i n)) n) #<representation binary64>) () ())
#s(alt (log1p.f64 (/.f64 i n)) (patch (log1p.f64 (/.f64 i n)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) (patch #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/24 binary64) i) (patch (*.f64 #s(literal 1/24 binary64) i) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ i n) 1) (/.f64 i n)) (patch #s(approx (+ (/ i n) 1) (/.f64 i n)) #<representation binary64>) () ())
Outputs
#s(alt (* 100 n) (taylor 0 i) (#s(alt (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) (patch (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) (patch (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 i) (#s(alt (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) (patch (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))))) (taylor 0 i) (#s(alt (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) (patch (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 i) (#s(alt (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) (patch (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) (patch (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) (patch (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))) (taylor 0 i) (#s(alt (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) (patch (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
7.0ms
i
@-inf
((* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (* 1/24 i) 1/6) (* 1/24 i) (/ (+ (* 1/576 (* i i)) -1/36) (+ (* 1/24 i) -1/6)) (+ (* 1/24 i) -1/6) (+ (/ i n) 1))
3.0ms
i
@inf
((* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (* 1/24 i) 1/6) (* 1/24 i) (/ (+ (* 1/576 (* i i)) -1/36) (+ (* 1/24 i) -1/6)) (+ (* 1/24 i) -1/6) (+ (/ i n) 1))
2.0ms
n
@0
((* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (* 1/24 i) 1/6) (* 1/24 i) (/ (+ (* 1/576 (* i i)) -1/36) (+ (* 1/24 i) -1/6)) (+ (* 1/24 i) -1/6) (+ (/ i n) 1))
2.0ms
i
@0
((* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (* 1/24 i) 1/6) (* 1/24 i) (/ (+ (* 1/576 (* i i)) -1/36) (+ (* 1/24 i) -1/6)) (+ (* 1/24 i) -1/6) (+ (/ i n) 1))
2.0ms
n
@-inf
((* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (* 1/24 i) 1/6) (* 1/24 i) (/ (+ (* 1/576 (* i i)) -1/36) (+ (* 1/24 i) -1/6)) (+ (* 1/24 i) -1/6) (+ (/ i n) 1))

simplify201.0ms (1.7%)

Memory
-9.6MiB live, 148.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101913177
1317412095
0863911046
Stop Event
1×iter limit
1×node limit
Counts
480 → 476
Calls
Call 1
Inputs
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i
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1
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1
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i
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1/6
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1
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(* -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)))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* -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)))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* -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))))))
(/ (exp i) i)
(+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) 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)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (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)))
i
(+ i (* -1/2 (/ (pow i 2) n)))
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))
(/ i n)
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
1
(+ 1 (/ i n))
(+ 1 (/ i n))
(+ 1 (/ 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 i n) (-.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 i n) (-.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 i #s(literal 100 binary64)) (fma.f64 (*.f64 i n) (-.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)) (*.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)))
100
#s(literal 100 binary64)
(+ 100 (* 100 (* 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)) #s(literal 100 binary64))
(+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 100 binary64))
(+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))
(fma.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (+.f64 (/.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)) #s(literal 100 binary64))) i #s(literal 100 binary64))
(* 100 i)
(*.f64 i #s(literal 100 binary64))
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64)) i)
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))
(*.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 100 binary64)) i)
(* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (+.f64 (/.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)) #s(literal 100 binary64))) i #s(literal 100 binary64)) i)
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)
(* 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 i n) (-.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 i n) (-.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 i #s(literal 100 binary64)) (fma.f64 (*.f64 i n) (-.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)) (*.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)))
(* 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 i n) (-.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 i n) (-.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 i #s(literal 100 binary64)) (fma.f64 (*.f64 i n) (-.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)) (*.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)))
(* 100 n)
(*.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))
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))
(* 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 i n) (-.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 i n) (-.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 i #s(literal 100 binary64)) (fma.f64 (*.f64 i n) (-.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)) (*.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)))
(* 100 n)
(*.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))
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))
(/ (+ n (* -1 n)) i)
(/.f64 #s(literal 0 binary64) i)
(/ (+ n (+ (* -1 n) (* i n))) i)
(/.f64 (fma.f64 i n #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 i n) (-.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 i n) (-.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 i n #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 i #s(literal 100 binary64)) (fma.f64 (*.f64 i n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #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 i #s(literal 100 binary64)) (fma.f64 (*.f64 i n) (-.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))) i #s(literal 0 binary64)) i)
(/ 1 i)
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(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
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(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
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(* (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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(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
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(* (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)))))))))))
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(* (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)))))))))))
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(* (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))))
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(* (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))))))))
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(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 50 binary64) (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i))) (neg.f64 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)))))
(*.f64 (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))) (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 (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) (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 #s(literal 100 binary64) (/.f64 (exp.f64 i) 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))) (neg.f64 n))) (neg.f64 n))) (neg.f64 n))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
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(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
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(*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 50 binary64) (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i))) (neg.f64 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)))))
(*.f64 (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))) (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 (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) (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 #s(literal 100 binary64) (/.f64 (exp.f64 i) 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))) (neg.f64 n))) (neg.f64 n))) (neg.f64 n))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
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(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(* -1 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i)) (neg.f64 n))
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(*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i))) (neg.f64 n))
(* -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)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) i) (/.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))) n)) (/.f64 (exp.f64 i) i)) (neg.f64 n))
(* -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)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) i) (/.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))) n)) (/.f64 (exp.f64 i) i)) (neg.f64 n))
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(*.f64 (*.f64 #s(literal -100 binary64) n) (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i)))
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i)) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 50 binary64))) (neg.f64 n))
(* -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))))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i)) #s(literal 100 binary64) (/.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))) (neg.f64 n))
(* -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 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i)) #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) (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 #s(literal 100 binary64) (/.f64 (exp.f64 i) 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))) (neg.f64 n))) (neg.f64 n))) (neg.f64 n))
(/ (exp i) i)
(/.f64 (exp.f64 i) i)
(+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i))
(fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (exp.f64 i) 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))
(-.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) i (*.f64 (/.f64 (exp.f64 i) (neg.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n))) n))
(+ (* -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 (exp.f64 i) i) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) 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 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i))) (neg.f64 n))) n))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 (/.f64 (*.f64 (*.f64 (exp.f64 i) i) i) n) #s(literal -1/2 binary64) (exp.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))
i
(+ i (* -1/2 (/ (pow i 2) n)))
(fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i)
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
(-.f64 i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal -1/3 binary64) (*.f64 (*.f64 i i) #s(literal 1/2 binary64))) n))
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))
(-.f64 i (/.f64 (fma.f64 (*.f64 i i) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal -1/4 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (neg.f64 n))) n))
(/ i n)
(/.f64 i n)
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) (neg.f64 n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 1/3 binary64) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n))) n)
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (neg.f64 n))) (neg.f64 n)) i) (neg.f64 n))
1
#s(literal 1 binary64)
(+ 1 (/ i n))
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(+ 1 (/ i n))
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(+ 1 (/ i n))
(+.f64 (/.f64 i n) #s(literal 1 binary64))

rewrite176.0ms (1.5%)

Memory
-24.3MiB live, 95.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056403
090397
1342367
22524363
08200337
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 436
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i)
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
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(/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i)
(pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n)
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
#s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i))
(*.f64 #s(literal 1/24 binary64) i)
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))
#s(approx (+ (/ i n) 1) (/.f64 i n))
Outputs
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eval118.0ms (1%)

Memory
46.6MiB live, 117.8MiB allocated
Compiler

Compiled 24 448 to 3 495 computations (85.7% saved)

prune65.0ms (0.6%)

Memory
-32.0MiB live, 132.2MiB allocated
Pruning

48 alts after pruning (41 fresh and 7 done)

PrunedKeptTotal
New90012912
Fresh92938
Picked145
Done033
Total91048958
Accuracy
100.0%
Counts
958 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.9%
(fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) (*.f64 #s(literal 100 binary64) n) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
18.4%
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))
12.8%
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
25.4%
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
30.2%
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) n) i) #s(literal 100 binary64))
25.4%
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) #s(literal -100 binary64)) i) n)
✓74.8%
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
74.5%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
12.0%
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) n)) i) n)
53.0%
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n)
✓73.3%
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
59.3%
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 #s(approx (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (/.f64 (fma.f64 (*.f64 i (/.f64 i n)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) i)) n)) i i)))))
59.3%
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))))
12.0%
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) n)))
44.5%
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i #s(literal 100 binary64))))
73.3%
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
59.7%
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64))) n)
12.1%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
19.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
12.7%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
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)))
11.9%
(*.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)))
29.5%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n) (/.f64 n i)))
44.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
61.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
10.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
69.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
59.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n #s(literal 100 binary64))))))
59.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 100 binary64))))
✓75.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))))
44.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (neg (- (exp i) 1)) (neg.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
62.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
✓62.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
52.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) #s(approx (+ (* 1/24 i) -1/6) #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
62.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
✓62.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
60.1%
#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))))
45.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (neg (- (exp i) 1)) -1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
62.2%
#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))
61.7%
#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))
60.1%
#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))
✓53.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
59.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal -100 binary64) (/.f64 (/.f64 n i) (/.f64 #s(literal -1 binary64) (expm1.f64 i)))))
62.2%
#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)))))
61.7%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
✓18.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
55.3%
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 i n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
54.0%
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (*.f64 (*.f64 i n) #s(literal 100 binary64)) i))
Compiler

Compiled 1 880 to 913 computations (51.4% saved)

regimes80.0ms (0.7%)

Memory
19.7MiB live, 64.1MiB allocated
Counts
81 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#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) (/ (neg n) i))) (/.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))))
#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) (/ (neg n) i))) (/.f64 (*.f64 (*.f64 i n) #s(literal 100 binary64)) i))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n)
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i n) #s(literal 100 binary64) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #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 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) 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)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (neg (- (exp i) 1)) -1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
#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 n #s(literal 100 binary64)))))
#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) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (neg (- (exp i) 1)) (neg.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) #s(approx (+ (* 1/24 i) -1/6) #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (- (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)) i) (*.f64 n #s(literal 100 binary64))))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 i n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) 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))) (*.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)) n) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) n) i) #s(literal 100 binary64))
(*.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)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal -100 binary64) (/.f64 (/.f64 n i) (/.f64 #s(literal -1 binary64) (expm1.f64 i)))))
(*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) #s(literal -100 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) #s(literal -100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n #s(literal 100 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) 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 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) (*.f64 #s(literal 100 binary64) n) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) 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 #s(literal -100 binary64) (/.f64 n i)))
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 #s(approx (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (/.f64 (fma.f64 (*.f64 i (/.f64 i n)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) i)) n)) i i)))))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (/.f64 (neg.f64 i) n) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (neg.f64 i) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (expm1.f64 i) (*.f64 (pow.f64 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 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) n)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))))
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) n)) 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 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) i)
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(/.f64 (*.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 n i) #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 n i)))
Outputs
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 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(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Calls

4 calls:

20.0ms
n
20.0ms
i
19.0ms
(*.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)))
17.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
87.6%3i
91.2%3n
94.5%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
94.5%3(/.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)

regimes38.0ms (0.3%)

Memory
-18.5MiB live, 20.1MiB allocated
Counts
79 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#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) (/ (neg n) i))) (/.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))))
#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) (/ (neg n) i))) (/.f64 (*.f64 (*.f64 i n) #s(literal 100 binary64)) i))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n)
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i n) #s(literal 100 binary64) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #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 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) 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)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (neg (- (exp i) 1)) -1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
#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 n #s(literal 100 binary64)))))
#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) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (neg (- (exp i) 1)) (neg.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) #s(approx (+ (* 1/24 i) -1/6) #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (- (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)) i) (*.f64 n #s(literal 100 binary64))))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 i n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) 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))) (*.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)) n) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) n) i) #s(literal 100 binary64))
(*.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)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal -100 binary64) (/.f64 (/.f64 n i) (/.f64 #s(literal -1 binary64) (expm1.f64 i)))))
(*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) #s(literal -100 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) #s(literal -100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n #s(literal 100 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) 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 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) (*.f64 #s(literal 100 binary64) n) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) 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 #s(literal -100 binary64) (/.f64 n i)))
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 #s(approx (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (/.f64 (fma.f64 (*.f64 i (/.f64 i n)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) i)) n)) i i)))))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (/.f64 (neg.f64 i) n) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (neg.f64 i) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (expm1.f64 i) (*.f64 (pow.f64 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 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) n)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))))
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) n)) 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 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) i)
Outputs
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 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(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Calls

2 calls:

18.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
16.0ms
(*.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
93.9%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
93.9%3(/.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)

regimes35.0ms (0.3%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
77 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#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) (/ (neg n) i))) (/.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))))
#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) (/ (neg n) i))) (/.f64 (*.f64 (*.f64 i n) #s(literal 100 binary64)) i))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n)
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i n) #s(literal 100 binary64) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #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 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) 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)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (neg (- (exp i) 1)) -1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
#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 n #s(literal 100 binary64)))))
#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) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (neg (- (exp i) 1)) (neg.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) #s(approx (+ (* 1/24 i) -1/6) #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (- (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)) i) (*.f64 n #s(literal 100 binary64))))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 i n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) 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))) (*.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)) n) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) n) i) #s(literal 100 binary64))
(*.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)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal -100 binary64) (/.f64 (/.f64 n i) (/.f64 #s(literal -1 binary64) (expm1.f64 i)))))
(*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) #s(literal -100 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) #s(literal -100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n #s(literal 100 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) 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 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) (*.f64 #s(literal 100 binary64) n) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) 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 #s(literal -100 binary64) (/.f64 n i)))
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 #s(approx (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (/.f64 (fma.f64 (*.f64 i (/.f64 i n)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) i)) n)) i i)))))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (/.f64 (neg.f64 i) n) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (neg.f64 i) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (expm1.f64 i) (*.f64 (pow.f64 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 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) n)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))))
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) n)) 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 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
Outputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) 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(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Calls

2 calls:

16.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
15.0ms
(*.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
93.6%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
93.6%3(/.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)

regimes35.0ms (0.3%)

Memory
-19.3MiB live, 19.2MiB allocated
Counts
75 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#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) (/ (neg n) i))) (/.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))))
#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) (/ (neg n) i))) (/.f64 (*.f64 (*.f64 i n) #s(literal 100 binary64)) i))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n)
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i n) #s(literal 100 binary64) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #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 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) 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)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (neg (- (exp i) 1)) -1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
#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 n #s(literal 100 binary64)))))
#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) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (neg (- (exp i) 1)) (neg.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) #s(approx (+ (* 1/24 i) -1/6) #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (- (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)) i) (*.f64 n #s(literal 100 binary64))))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 i n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) 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))) (*.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)) n) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) n) i) #s(literal 100 binary64))
(*.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)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal -100 binary64) (/.f64 (/.f64 n i) (/.f64 #s(literal -1 binary64) (expm1.f64 i)))))
(*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) #s(literal -100 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) #s(literal -100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n #s(literal 100 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) 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 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) (*.f64 #s(literal 100 binary64) n) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) 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 #s(literal -100 binary64) (/.f64 n i)))
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 #s(approx (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (/.f64 (fma.f64 (*.f64 i (/.f64 i n)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) i)) n)) i i)))))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (/.f64 (neg.f64 i) n) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (neg.f64 i) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (expm1.f64 i) (*.f64 (pow.f64 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 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) n)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))))
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) n)) 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 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
Outputs
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) 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(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Calls

2 calls:

16.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
15.0ms
(*.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
92.8%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
92.8%3(/.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)

regimes69.0ms (0.6%)

Memory
-4.8MiB live, 33.9MiB allocated
Counts
73 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#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) (/ (neg n) i))) (/.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))))
#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) (/ (neg n) i))) (/.f64 (*.f64 (*.f64 i n) #s(literal 100 binary64)) i))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n)
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i n) #s(literal 100 binary64) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #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 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) 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)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (neg (- (exp i) 1)) -1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
#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 n #s(literal 100 binary64)))))
#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) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (neg (- (exp i) 1)) (neg.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) #s(approx (+ (* 1/24 i) -1/6) #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (- (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)) i) (*.f64 n #s(literal 100 binary64))))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 i n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) 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))) (*.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)) n) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) n) i) #s(literal 100 binary64))
(*.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)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal -100 binary64) (/.f64 (/.f64 n i) (/.f64 #s(literal -1 binary64) (expm1.f64 i)))))
(*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) #s(literal -100 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) #s(literal -100 binary64)) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n #s(literal 100 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) 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 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) i) (*.f64 #s(literal 100 binary64) n) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) 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 #s(literal -100 binary64) (/.f64 n i)))
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 #s(approx (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (/.f64 (fma.f64 (*.f64 i (/.f64 i n)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) i)) n)) i i)))))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (/.f64 (neg.f64 i) n) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (neg.f64 i) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (expm1.f64 i) (*.f64 (pow.f64 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 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) n)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))))
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) n)) 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 (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
Calls

4 calls:

19.0ms
i
18.0ms
n
15.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
14.0ms
(*.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
77.8%2i
82.5%3n
79.2%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
79.2%3(/.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
7.1MiB live, 7.1MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#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) (/ (neg n) i))) (/.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))))
#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) (/ (neg n) i))) (/.f64 (*.f64 (*.f64 i n) #s(literal 100 binary64)) i))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n)
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i n) #s(literal 100 binary64) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #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 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) 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)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (neg (- (exp i) 1)) -1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
#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 n #s(literal 100 binary64)))))
#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) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (neg (- (exp i) 1)) (neg.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) #s(approx (+ (* 1/24 i) -1/6) #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (- (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)) i) (*.f64 n #s(literal 100 binary64))))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 i n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) 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))) (*.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 (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#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
82.5%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes36.0ms (0.3%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#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) (/ (neg n) i))) (/.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))))
#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) (/ (neg n) i))) (/.f64 (*.f64 (*.f64 i n) #s(literal 100 binary64)) i))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n)
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i n) #s(literal 100 binary64) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #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 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) 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)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (neg (- (exp i) 1)) -1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
#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 n #s(literal 100 binary64)))))
#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) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (neg (- (exp i) 1)) (neg.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) #s(approx (+ (* 1/24 i) -1/6) #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (- (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)) i) (*.f64 n #s(literal 100 binary64))))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 i n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) 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)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 i n) (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))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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)) i) (*.f64 n #s(literal 100 binary64))))
Calls

4 calls:

10.0ms
n
9.0ms
i
8.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
8.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
62.5%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
62.5%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
67.3%2i
72.4%3n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes11.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#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) (/ (neg n) i))) (/.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))))
#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) (/ (neg n) i))) (/.f64 (*.f64 (*.f64 i n) #s(literal 100 binary64)) i))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n)
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i n) #s(literal 100 binary64) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #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 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) 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)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (neg (- (exp i) 1)) -1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
#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 n #s(literal 100 binary64)))))
#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) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (neg (- (exp i) 1)) (neg.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) #s(approx (+ (* 1/24 i) -1/6) #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (- (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)) i) (*.f64 n #s(literal 100 binary64))))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64)) i)))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 i n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.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)) i) (*.f64 n #s(literal 100 binary64))))
Calls

1 calls:

9.0ms
n
Results
AccuracySegmentsBranch
72.3%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes26.0ms (0.2%)

Memory
-47.8MiB live, 5.7MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#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) (/ (neg n) i))) (/.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))))
#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) (/ (neg n) i))) (/.f64 (*.f64 (*.f64 i n) #s(literal 100 binary64)) i))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n)
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i n) #s(literal 100 binary64) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #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 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 i) 1/6) (*.f64 #s(literal 1/24 binary64) i)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) 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)))
(*.f64 #s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (neg (- (exp i) 1)) -1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
#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 n #s(literal 100 binary64)))))
#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) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(approx (neg (- (exp i) 1)) (neg.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 i i) #s(literal -1/36 binary64)) #s(approx (+ (* 1/24 i) -1/6) #s(literal -1/6 binary64))) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 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))
Calls

1 calls:

8.0ms
n
Results
AccuracySegmentsBranch
72.0%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#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) (/ (neg n) i))) (/.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))))
#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) (/ (neg n) i))) (/.f64 (*.f64 (*.f64 i n) #s(literal 100 binary64)) i))
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n)
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 i n) #s(literal 100 binary64) #s(literal 0 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (- (exp i) 1) i) (* n 100)) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* i n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #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 (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))) #s(literal 0 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))
Calls

1 calls:

4.0ms
n
Results
AccuracySegmentsBranch
71.3%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#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) (/ (neg n) i))) (/.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 (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 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))
Calls

1 calls:

2.0ms
n
Results
AccuracySegmentsBranch
69.6%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#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) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
Calls

4 calls:

2.0ms
n
2.0ms
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
53.1%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
53.1%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
64.0%3i
62.3%3n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes5.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
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))) #s(literal 0 binary64))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
Calls

4 calls:

1.0ms
i
1.0ms
n
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
18.4%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)))
18.4%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
18.4%1n
18.4%1i
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.2223952849100123e-301
1.8156890800518054e-201
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.2223952849100123e-301
1.8156890800518054e-201
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.2223952849100123e-301
1.8156890800518054e-201
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.2223952849100123e-301
1.8156890800518054e-201
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch101.0ms (0.9%)

Memory
-15.0MiB live, 24.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
49.0ms
3.540011228932493e-142
2.640658379030747e-125
45.0ms
-8.842031893262521e-206
-3.591095725459705e-210
Samples
46.0ms129×2valid
18.0ms112×1valid
11.0ms192×0invalid
3.0ms47×0valid
Compiler

Compiled 216 to 267 computations (-23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-pow: 30.0ms (47.8% of total)
ival-div: 12.0ms (19.1% of total)
adjust: 7.0ms (11.1% of total)
ival-add: 4.0ms (6.4% of total)
ival-mult: 4.0ms (6.4% of total)
ival-sub: 4.0ms (6.4% 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
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.540011228932493e-142
2.640658379030747e-125
1.0ms
-8.842031893262521e-206
-3.591095725459705e-210
Compiler

Compiled 216 to 267 computations (-23.6% saved)

bsearch38.0ms (0.3%)

Memory
9.4MiB live, 9.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.540011228932493e-142
2.640658379030747e-125
34.0ms
-1.4958495434566372e-107
-3.058998610859229e-109
Samples
14.0ms38×2valid
12.0ms67×1valid
2.0ms41×0invalid
0.0ms7×0valid
Compiler

Compiled 434 to 396 computations (8.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-pow: 12.0ms (52% of total)
ival-div: 4.0ms (17.3% of total)
adjust: 3.0ms (13% of total)
ival-mult: 2.0ms (8.7% of total)
ival-add: 1.0ms (4.3% of total)
ival-sub: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.540011228932493e-142
2.640658379030747e-125
17.0ms
-5.848223135913269e-133
-4.568190344747947e-133
Samples
10.0ms28×2valid
3.0ms19×1valid
1.0ms22×0invalid
0.0ms1×0valid
Compiler

Compiled 277 to 283 computations (-2.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-pow: 6.0ms (49.6% of total)
ival-div: 2.0ms (16.5% of total)
ival-add: 1.0ms (8.3% of total)
adjust: 1.0ms (8.3% of total)
ival-mult: 1.0ms (8.3% of total)
ival-sub: 1.0ms (8.3% 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
1.2MiB live, 1.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.540011228932493e-142
2.640658379030747e-125
0.0ms
-5.848223135913269e-133
-4.568190344747947e-133
Compiler

Compiled 217 to 243 computations (-12% saved)

bsearch2.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.540011228932493e-142
2.640658379030747e-125
0.0ms
-5.848223135913269e-133
-4.568190344747947e-133
Compiler

Compiled 187 to 223 computations (-19.3% saved)

bsearch2.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.540011228932493e-142
2.640658379030747e-125
0.0ms
-5.848223135913269e-133
-4.568190344747947e-133
Compiler

Compiled 148 to 197 computations (-33.1% saved)

bsearch89.0ms (0.8%)

Memory
-19.4MiB live, 19.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
53.0ms
2.1911149958014306e-8
21435.312782311314
30.0ms
-5.377439894451478e+70
-4.639036509124876e+66
Samples
61.0ms243×1valid
5.0ms90×0invalid
4.0ms45×0valid
0.0ms4×1exit
Compiler

Compiled 126 to 213 computations (-69% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-pow: 32.0ms (55% of total)
ival-div: 9.0ms (15.5% of total)
ival-add: 5.0ms (8.6% of total)
adjust: 5.0ms (8.6% of total)
ival-sub: 3.0ms (5.2% of total)
ival-mult: 3.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify29.0ms (0.2%)

Memory
20.6MiB live, 20.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251013
11541013
21661013
31771013
41931013
52181013
62211013
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64))) #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))) #s(literal 0 binary64))
Outputs
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))

soundness1.0s (8.9%)

Memory
-0.8MiB live, 38.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05153831
116243489
255113268
081232980
045281
081277
1328265
22674257
08241257
01044
01644
17344
257044
3735444
0866938
0108713720
1342512637
0858111634
06959074
121738535
269668480
081427704
060316
090303
1360300
22845300
08788286
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 1 415 to 678 computations (52.1% saved)

preprocess83.0ms (0.7%)

Memory
-6.9MiB live, 72.9MiB allocated
Compiler

Compiled 1 142 to 278 computations (75.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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