Compound Interest

Time bar (total: 13.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze263.0ms (1.9%)

Memory
27.5MiB live, 103.3MiB 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)

sample4.3s (31.2%)

Memory
40.0MiB live, 4 945.5MiB allocated
Samples
1.8s4 505×1valid
1.2s1 613×2valid
247.0ms2 081×0valid
162.0ms2 090×0invalid
84.0ms57×3valid
3.0ms31×1exit
Precisions
Click to see histograms. Total time spent on operations: 3.0s
ival-pow: 1.7s (58.4% of total)
ival-div: 363.0ms (12.1% of total)
ival-mult: 305.0ms (10.2% of total)
adjust: 193.0ms (6.4% of total)
ival-add: 186.0ms (6.2% of total)
ival-sub: 175.0ms (5.8% of total)
exact: 10.0ms (0.3% of total)
ival-true: 9.0ms (0.3% of total)
ival-assert: 5.0ms (0.2% of total)
Bogosity

explain288.0ms (2.1%)

Memory
-12.2MiB live, 201.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1920-0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
5781(-7.200935925728912e-256 -7.568104374966598e+280)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
390-8(9.327737556055671e-20 -1.1893751278767652e+291)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
20-2(-2.432279126494602e-124 -2.9452572556269528e-220)(*.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))cancellation1920
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1181
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u310
↳(/.f64 i n)underflow31
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue200
↳(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow27
↳(/.f64 i n)overflow20
↳(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow20
Confusion
Predicted +Predicted -
+1970
-2633
Precision
0.8834080717488789
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+19700
-26132
Precision?
0.8794642857142857
Recall?
1.0
Freqs
test
numberfreq
033
1116
276
331
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
110.0ms306×1valid
57.0ms132×2valid
7.0ms74×0valid
Compiler

Compiled 133 to 34 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-pow: 99.0ms (67.3% of total)
ival-div: 16.0ms (10.9% of total)
adjust: 12.0ms (8.2% of total)
ival-mult: 9.0ms (6.1% of total)
ival-sub: 6.0ms (4.1% of total)
ival-add: 5.0ms (3.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess192.0ms (1.4%)

Memory
-12.9MiB live, 102.6MiB allocated
Algorithm
1×egg-herbie
Rules
1 792×lower-fma.f64
1 792×lower-fma.f32
1 490×div-sub
1 136×lower-*.f32
1 134×lower-*.f64
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 17 to 10 computations (41.2% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶25.5%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify143.0ms (1%)

Memory
3.5MiB live, 89.0MiB 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))
Rules
1 792×lower-fma.f64
1 792×lower-fma.f32
1 136×lower-*.f32
1 134×lower-*.f64
654×unsub-neg
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

localize90.0ms (0.7%)

Memory
20.1MiB live, 131.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.13209759227834134
(*.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)))
accuracy8.045933935024136
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
accuracy13.047665930686135
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy44.17021692131791
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
Samples
47.0ms153×1valid
30.0ms66×2valid
3.0ms37×0valid
Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-pow: 44.0ms (65.5% of total)
ival-div: 8.0ms (11.9% of total)
adjust: 6.0ms (8.9% of total)
ival-sub: 4.0ms (6% of total)
ival-add: 3.0ms (4.5% of total)
ival-mult: 3.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
-8.0MiB live, 36.5MiB 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
7.0ms
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))
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
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))

simplify284.0ms (2.1%)

Memory
4.8MiB live, 165.7MiB allocated
Algorithm
1×egg-herbie
Rules
11 188×lower-fma.f64
11 188×lower-fma.f32
6 726×lower-*.f64
6 726×lower-*.f32
3 544×lower-+.f64
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)))))))
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(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))
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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) (*.f64 (*.f64 n n) n)) (/.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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(- (+ (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)
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) (/.f64 (exp.f64 i) n) (*.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)))) (*.f64 (*.f64 n n) n)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 n 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 #s(literal -1/2 binary64) (*.f64 i i)) (/.f64 (exp.f64 i) n) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 n n)) (exp.f64 i) (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)))) (*.f64 (*.f64 n n) n)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 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 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 i n)))) 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) (+.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)))) (*.f64 i n)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (neg.f64 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 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 i n)) #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 (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)))) (*.f64 i n)) #s(literal 100 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) 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)
(+.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 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (neg.f64 n)))) (neg.f64 n)) (expm1.f64 i))
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (*.f64 (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)))) (neg.f64 n)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))))) (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 (*.f64 (*.f64 i i) i) #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) (+.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)))) (neg.f64 n)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))))) (neg.f64 n))) n))

rewrite226.0ms (1.6%)

Memory
-0.1MiB live, 192.5MiB allocated
Rules
4 646×lower-fma.f64
4 646×lower-fma.f32
3 878×lower-*.f32
3 876×lower-*.f64
3 404×lower-/.f32
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
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (/.f64 n i)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (/.f64 n i)) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) n)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (/.f64 n i)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 n i) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) n)) #s(literal 1 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 n n))) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 n i) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) n)) #s(literal 1 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 (+.f64 n n) #s(literal 3 binary64))))) (fma.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 n n)))))
(*.f64 (/.f64 (*.f64 (/.f64 i n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 i) n) i)) (neg.f64 n))
(*.f64 (/.f64 (*.f64 (/.f64 i n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 n) n))
(*.f64 (/.f64 (*.f64 (/.f64 i n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (neg.f64 i)) (*.f64 (/.f64 (neg.f64 n) i) n))
(*.f64 (/.f64 (*.f64 (/.f64 i n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) (/.f64 n i)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) #s(literal -1 binary64)) (neg.f64 n))
(*.f64 (/.f64 (*.f64 (/.f64 i n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (*.f64 (/.f64 i n) i)) n)
(*.f64 (/.f64 (*.f64 (/.f64 i n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (*.f64 i i)) (*.f64 n n))
(*.f64 (/.f64 (*.f64 (/.f64 i n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n)) (/.f64 n i))
(*.f64 (/.f64 (*.f64 (/.f64 i n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) i) (*.f64 (/.f64 n i) n))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) #s(literal 1 binary64)) n)
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i) #s(literal -1 binary64)) n)
(*.f64 (*.f64 (/.f64 n i) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i)) (neg.f64 n))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 (neg.f64 n) i))
(*.f64 (pow.f64 (/.f64 i (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) n)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 i (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) n)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 n) i))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 i n)) (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) i))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 i n)) (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) i))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (/.f64 i n)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)))) i))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)))) (/.f64 i n)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (neg.f64 i)) (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) n)))
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(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3/2 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3/2 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 i (/.f64 i (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 i n))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 n n) n)) #s(literal 1 binary64)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 i n) #s(literal 1 binary64))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3/2 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3/2 binary64))) (+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n))))))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3/2 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3/2 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n))))))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) n)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n))))))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n))))))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))))
(expm1.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 i n) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) n)))
(expm1.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(+.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))))
(+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n))))))
(+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64)))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 i (/.f64 i (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 i n))) n))
(*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 n n) n)) #s(literal 1 binary64)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 i n) #s(literal 1 binary64))) n))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n))))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(pow.f64 (*.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 i n) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) n))
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1/2 binary64))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64))
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 i n) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) n))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))

eval79.0ms (0.6%)

Memory
-11.9MiB live, 139.1MiB allocated
Compiler

Compiled 18 586 to 2 019 computations (89.1% saved)

prune133.0ms (1%)

Memory
34.2MiB live, 224.9MiB allocated
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New56626592
Fresh000
Picked101
Done000
Total56726593
Accuracy
99.9%
Counts
593 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.9%
(/.f64 (*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)) n) i)
▶25.9%
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
25.5%
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)) (/.f64 n i))
21.4%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
21.3%
(*.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)))
20.7%
(*.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)))
21.3%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
▶16.5%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
11.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
15.5%
(*.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)))
16.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
▶81.7%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
▶43.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
45.9%
(*.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)))
10.1%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
24.2%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i)))
58.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
56.3%
(*.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)))
74.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
71.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (/.f64 (exp.f64 i) n) (/.f64 (expm1.f64 i) i)) n)))
10.9%
(*.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))))
56.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (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) (*.f64 (*.f64 n n) n)) (/.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 (*.f64 #s(literal 100 binary64) n)))
79.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
16.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64)) n) n))
10.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
▶53.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Compiler

Compiled 1 056 to 640 computations (39.4% saved)

simplify198.0ms (1.4%)

Memory
7.1MiB live, 205.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n))
cost-diff128
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
cost-diff1024
(*.f64 (/.f64 i n) n)
cost-diff1024
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))
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) #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
cost-diff128
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n))
cost-diff0
#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))
cost-diff0
(*.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)))
cost-diff384
(/.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))
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-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 (log1p.f64 (/.f64 i n)) n)
cost-diff128
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
cost-diff384
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))
cost-diff6272
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
Rules
18 064×lower-fma.f32
18 060×lower-fma.f64
4 222×lower-*.f32
4 202×lower-*.f64
3 510×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044442
078404
1153404
2340398
3968398
43748398
57402398
08151392
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i 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(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) (/.f64 #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(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 (- (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 (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)
(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))
(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)
n
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
i
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) 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)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n))
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
i
n
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
#s(literal 100 binary64)
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))
(-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
i
n
#s(literal 1 binary64)
(*.f64 (/.f64 i n) n)
(*.f64 (/.f64 i n) i)
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
#s(literal 100 binary64)
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n (neg.f64 n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) n)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) (/.f64 #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)))
(*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (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))) i #s(literal 1 binary64)) i)))
#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))
(*.f64 (/.f64 n i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (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))) i #s(literal 1 binary64)) i)))
#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))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (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))) i #s(literal 1 binary64)) i))
(*.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 (fma.f64 (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))) i #s(literal 1 binary64)) i)
(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))
(fma.f64 (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))) i #s(literal 1 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)))
(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)
n
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
i
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) 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)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n)
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(/.f64 i n)
i
n
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) n)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
#s(literal 100 binary64)
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n (neg.f64 n)) i)
(-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i (neg.f64 i))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(/.f64 i n)
i
n
#s(literal 1 binary64)
(*.f64 (/.f64 i n) n)
i
(*.f64 (/.f64 i n) i)

localize375.0ms (2.7%)

Memory
-15.0MiB live, 522.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy12.563301942953748
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy12.627949775454619
(*.f64 (/.f64 i n) n)
accuracy25.259637958777283
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))
accuracy25.306412744569407
(-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n))
accuracy0.1171875
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n))
accuracy5.597603299520425
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
accuracy12.563301942953748
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy44.17021692131791
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
accuracy0.9892646016543696
(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))
accuracy3.4379672545327677
(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)))
accuracy8.038121435024136
(/.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))
accuracy24.112782074355973
#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))
accuracy0
(*.f64 #s(literal 100 binary64) n)
accuracy27.725881182796886
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
accuracy0.12819134227834134
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
accuracy4.858292902120964
(log1p.f64 (/.f64 i n))
accuracy8.038121435024136
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))
accuracy8.085875829540663
(*.f64 (log1p.f64 (/.f64 i n)) n)
Samples
174.0ms139×1valid
115.0ms78×2valid
15.0ms30×0valid
3.0ms2×5exit
2.0ms7×0invalid
Compiler

Compiled 389 to 43 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 252.0ms
ival-pow: 94.0ms (37.3% of total)
ival-mult: 44.0ms (17.5% of total)
adjust: 42.0ms (16.7% of total)
ival-div: 30.0ms (11.9% of total)
ival-sub: 13.0ms (5.2% of total)
ival-add: 11.0ms (4.4% of total)
const: 9.0ms (3.6% of total)
ival-log1p: 5.0ms (2% of total)
ival-expm1: 3.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series69.0ms (0.5%)

Memory
-15.5MiB live, 61.7MiB allocated
Counts
20 → 468
Calls
Call 1
Inputs
#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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))) (patch (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))) #<representation binary64>) () ())
#s(alt (*.f64 (log1p.f64 (/.f64 i n)) n) (patch (*.f64 (log1p.f64 (/.f64 i n)) n) #<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 (+.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(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)) (patch (/.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)) #<representation binary64>) () ())
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) (patch (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i) (patch (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #<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 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)) (patch (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 i n) n) (patch (*.f64 (/.f64 i n) n) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))) (patch (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (patch (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) #<representation binary64>) () ())
#s(alt (log1p.f64 (/.f64 i n)) (patch (log1p.f64 (/.f64 i n)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
Outputs
#s(alt i (taylor 0 i) (#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 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#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 (* 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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 i) (#s(alt (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* 100 n) (taylor 0 i) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))) (patch (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))) (patch (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))) (patch (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))) (patch (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))) #<representation binary64>) () ())) ())
#s(alt i (taylor 0 i) (#s(alt (*.f64 (log1p.f64 (/.f64 i n)) n) (patch (*.f64 (log1p.f64 (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1 (* -1/2 (/ i n)))) (taylor 0 i) (#s(alt (*.f64 (log1p.f64 (/.f64 i n)) n) (patch (*.f64 (log1p.f64 (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (*.f64 (log1p.f64 (/.f64 i n)) n) (patch (*.f64 (log1p.f64 (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (*.f64 (log1p.f64 (/.f64 i n)) n) (patch (*.f64 (log1p.f64 (/.f64 i n)) n) #<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 (- 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>) () ())) ())
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#s(alt (* -1 (* n (+ (* -1 (/ (- (* i (exp i)) i) (pow i 2))) (* 1/2 (/ (* i (exp i)) n))))) (taylor -inf n) (#s(alt (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)) (patch (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (* i (exp i)) i) (pow i 2)))))) (taylor -inf n) (#s(alt (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)) (patch (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (* i (exp i)) i) (pow i 2)))))) (taylor -inf n) (#s(alt (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)) (patch (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)) #<representation binary64>) () ())) ())
#s(alt i (taylor -inf n) (#s(alt (*.f64 (/.f64 i n) n) (patch (*.f64 (/.f64 i n) n) #<representation binary64>) () ())) ())
#s(alt i (taylor -inf n) (#s(alt (*.f64 (/.f64 i n) n) (patch (*.f64 (/.f64 i n) n) #<representation binary64>) () ())) ())
#s(alt i (taylor -inf n) (#s(alt (*.f64 (/.f64 i n) n) (patch (*.f64 (/.f64 i n) n) #<representation binary64>) () ())) ())
#s(alt i (taylor -inf n) (#s(alt (*.f64 (/.f64 i n) n) (patch (*.f64 (/.f64 i n) n) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))) (patch (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))) (patch (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))) #<representation binary64>) () ())) ())
#s(alt (- (* i (exp i)) i) (taylor -inf n) (#s(alt (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (patch (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/2 (/ (* (pow i 3) (exp i)) n)) (* i (exp i))) i) (taylor -inf n) (#s(alt (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (patch (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* -1 (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 3) (exp i)))) n)) (* i (exp i))) i) (taylor -inf n) (#s(alt (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (patch (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* i (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4)))))) n)) (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 1/2 (* (pow i 3) (exp i)))) n)) (* i (exp i))) i) (taylor -inf n) (#s(alt (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (patch (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.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>) () ())) ())
#s(alt (+ 1 (* i (+ 1/2 (* 1/6 i)))) (taylor -inf n) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* i (+ 1/2 (* 1/2 i))) n)) (* i (+ 1/2 (* 1/6 i))))) (taylor -inf n) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* i (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1/2 (* 1/6 i))))) (taylor -inf n) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* i (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1/2 (* 1/6 i))))) (taylor -inf n) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
18.0ms
i
@inf
((- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (- (pow (+ (/ i n) 1) n) 1) (pow (+ (/ i n) 1) n) (/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i)) (* (/ i n) n) (* 100 (/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i))) (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1))
4.0ms
i
@-inf
((- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (- (pow (+ (/ i n) 1) n) 1) (pow (+ (/ i n) 1) n) (/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i)) (* (/ i n) n) (* 100 (/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i))) (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1))
3.0ms
n
@0
((- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (- (pow (+ (/ i n) 1) n) 1) (pow (+ (/ i n) 1) n) (/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i)) (* (/ i n) n) (* 100 (/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i))) (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1))
3.0ms
n
@inf
((- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (- (pow (+ (/ i n) 1) n) 1) (pow (+ (/ i n) 1) n) (/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i)) (* (/ i n) n) (* 100 (/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i))) (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1))
3.0ms
n
@-inf
((- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n))) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (- (pow (+ (/ i n) 1) n) 1) (pow (+ (/ i n) 1) n) (/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i)) (* (/ i n) n) (* 100 (/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i))) (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1))

simplify231.0ms (1.7%)

Memory
34.4MiB live, 225.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 224×lower-fma.f64
9 224×lower-fma.f32
7 488×lower-+.f64
7 488×lower-+.f32
5 806×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100016198
1319714920
0814513756
Stop Event
1×iter limit
1×node limit
Counts
468 → 435
Calls
Call 1
Inputs
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
(+ 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)
(+ (* 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))))))))))
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))))))
(* 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))))))))))
(- 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)))
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)
(+ (* 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))))))))))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
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(/ (* 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 (- (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)))))
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)))
(* 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)
(+ 1/2 (* 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)))
(/ (* 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 (- (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)))))
(- (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)
(* 100 (* n (- (exp i) 1)))
(* -1 (* n (+ (* -100 (- (exp i) 1)) (* 50 (/ (* (pow i 2) (exp i)) n)))))
(* -1 (* n (+ (* -100 (- (exp i) 1)) (* -1 (/ (+ (* -50 (* (pow i 2) (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n))) n)))))
(* -1 (* n (+ (* -100 (- (exp i) 1)) (* -1 (/ (+ (* -50 (* (pow i 2) (exp i))) (* -1 (/ (+ (* -100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n))) n))) 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)))))
(- (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)
(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)))
(/ (* n (- (* i (exp i)) i)) (pow i 2))
(* -1 (* n (+ (* -1 (/ (- (* i (exp i)) i) (pow i 2))) (* 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 (/ (- (* i (exp i)) i) (pow i 2))))))
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (* i (exp i)) i) (pow i 2))))))
i
i
i
i
(* 100 (/ (* n (- (* i (exp i)) i)) (pow i 2)))
(* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (* i (exp i)) i) (pow i 2))) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(- (* i (exp i)) i)
(- (+ (* -1/2 (/ (* (pow i 3) (exp i)) n)) (* i (exp i))) i)
(- (+ (* -1 (/ (+ (* -1 (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 3) (exp i)))) n)) (* i (exp i))) i)
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* i (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4)))))) n)) (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 1/2 (* (pow i 3) (exp i)))) n)) (* i (exp i))) i)
(/ 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 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (+ (* -1 (/ (* i (+ 1/2 (* 1/2 i))) n)) (* i (+ 1/2 (* 1/6 i)))))
(+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* i (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1/2 (* 1/6 i)))))
(+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* i (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1/2 (* 1/6 i)))))
Outputs
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (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) (*.f64 (*.f64 n n) n)) (/.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 #s(literal 1 binary64)) i)
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) n)) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))
(+ (* 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 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) n)) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))
i
(* i (+ 1 (* -1/2 (/ i n))))
(*.f64 (fma.f64 (/.f64 i n) #s(literal -1/2 binary64) #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) i) i i)
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 i (*.f64 (*.f64 n n) n)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i (/.f64 #s(literal -1/2 binary64) n)) i) i i)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))
(+ (* 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 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) n)) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) 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)))
(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)))
(- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 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)))
(- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 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
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) n)) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))
(+ (* 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 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) n)) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
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(* (pow n 2) (+ (* 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)))))))
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(* -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 (neg.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 #s(literal -1/3 binary64) (*.f64 (*.f64 i i) i))) (neg.f64 n))) n)) (neg.f64 n))
(+ 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 (+ (* -1 (/ (* i (+ 1/2 (* 1/2 i))) n)) (* i (+ 1/2 (* 1/6 i)))))
(fma.f64 (neg.f64 i) (/.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)) n) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
(+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* i (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1/2 (* 1/6 i)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)) i (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/3 binary64))) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i))
(+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* i (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1/2 (* 1/6 i)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)) i (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/3 binary64))) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i))

rewrite336.0ms (2.4%)

Memory
-15.3MiB live, 290.0MiB allocated
Rules
6 050×lower-*.f32
6 030×lower-*.f64
3 778×lower-/.f32
3 764×lower-/.f64
2 414×lower--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044319
078285
1328285
22430271
08548271
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 770
Calls
Call 1
Inputs
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
(*.f64 (log1p.f64 (/.f64 i n)) n)
#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 (+.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(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))
(*.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 (- (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 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))
(*.f64 (/.f64 i n) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
(-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n))
(log1p.f64 (/.f64 i n))
(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))
Outputs
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.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)) (+.f64 n n)))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.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)) (+.f64 n n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (+.f64 (+.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)) (+.f64 n n)))) (*.f64 (+.f64 (+.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)) (+.f64 n n))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.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)) (+.f64 n n))) (+.f64 (+.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)) (+.f64 n n)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.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)) (+.f64 n n)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (+.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)) (+.f64 n n))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.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)) (+.f64 n n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (-.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 i n) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 n n) n)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 (*.f64 i i) (*.f64 n n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 n n) n)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 i n) #s(literal 1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 n n) n)) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 (*.f64 i i) (*.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 n n) n)) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1 binary64)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 i n) #s(literal 1 binary64))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 n n) n)) #s(literal 1 binary64)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 (*.f64 i i) (*.f64 n n)))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 n n) n)) #s(literal 1 binary64)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 n)) (log1p.f64 (/.f64 i n))))
(expm1.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 n #s(literal 1/2 binary64))))
(expm1.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (+.f64 (+.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)) (+.f64 n n)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.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)) (+.f64 n n)))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 (/.f64 i n) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 i n) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.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)) (+.f64 n n)))))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 i n) i) (fma.f64 (*.f64 i i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (neg.f64 (*.f64 (*.f64 i i) #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i (*.f64 i #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 i n) i) (fma.f64 (*.f64 (*.f64 i i) i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (*.f64 (*.f64 i #s(literal 1 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i (*.f64 i #s(literal 1 binary64)))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (neg.f64 i)) (neg.f64 n))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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))) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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)) (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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))) (neg.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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)) (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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)) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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))))
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(fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 i #s(literal 1 binary64)) #s(literal 1 binary64))
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(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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))
(fma.f64 i (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 i (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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))))
(+.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i))

eval222.0ms (1.6%)

Memory
28.0MiB live, 269.3MiB allocated
Compiler

Compiled 43 143 to 3 458 computations (92% saved)

prune304.0ms (2.2%)

Memory
7.7MiB live, 401.6MiB allocated
Pruning

43 alts after pruning (40 fresh and 3 done)

PrunedKeptTotal
New1 250291 279
Fresh101121
Picked235
Done000
Total1 262431 305
Accuracy
99.9%
Counts
1 305 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.2%
(/.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) (/.f64 #s(literal 1 binary64) n))
✓25.9%
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
12.5%
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
13.1%
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
16.3%
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
72.5%
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 100 binary64) n)) i)
10.9%
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (*.f64 #s(literal 100 binary64) n)) i)
▶74.6%
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i)
54.1%
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) i)) i)
▶53.2%
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
10.9%
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i)
25.5%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
56.4%
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) i) (*.f64 #s(literal 100 binary64) n))
42.0%
(*.f64 (*.f64 (/.f64 n i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) #s(literal 100 binary64))
21.4%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
21.3%
(*.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)))
18.1%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 i i)) n (neg.f64 (/.f64 n i))))
20.7%
(*.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)))
21.3%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
17.7%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) n) (neg.f64 (/.f64 n i))))
▶19.2%
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
12.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (*.f64 (/.f64 i n) i)))
26.9%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) (exp.f64 i)) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
8.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
54.0%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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)) n) i))
✓81.7%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
48.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
32.2%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
10.1%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
32.4%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n))) i)) (/.f64 i n)))
3.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 n n))) i)) (/.f64 i n)))
48.2%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
25.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (*.f64 i i)) (*.f64 (/.f64 i n) i)))
24.2%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i)))
58.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
56.3%
(*.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)))
74.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
71.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)) n)))
10.9%
(*.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))))
▶56.3%
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
▶79.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
✓53.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
41.1%
#s(approx (* 100 (/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 i (expm1.f64 i)) n)) (*.f64 i i)))
Compiler

Compiled 1 726 to 1 044 computations (39.5% saved)

simplify221.0ms (1.6%)

Memory
-45.2MiB live, 201.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
cost-diff128
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
cost-diff384
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i))
cost-diff1344
(fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i)))
cost-diff0
(expm1.f64 i)
cost-diff0
#s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i))
cost-diff0
(*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n))
cost-diff0
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i)
cost-diff128
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))
cost-diff192
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
cost-diff832
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
cost-diff960
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
cost-diff0
(*.f64 n i)
cost-diff0
(*.f64 (*.f64 n i) #s(literal 100 binary64))
cost-diff0
#s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))
cost-diff0
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
cost-diff0
(/.f64 (expm1.f64 i) i)
cost-diff0
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
Rules
20 798×lower-fma.f32
20 792×lower-fma.f64
4 278×lower-*.f32
4 256×lower-*.f64
4 102×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052409
087409
1173403
2399399
31204385
43977377
08235356
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
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
#s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 n i) #s(literal 100 binary64))
(*.f64 n i)
n
i
#s(literal 100 binary64)
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
#s(literal 100 binary64)
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 n i)
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 1/3 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 #s(literal 100 binary64) n)
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i))
(expm1.f64 i)
i
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
#s(literal 100 binary64)
(fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i)))
i
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i))
(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)
n
(*.f64 (/.f64 i n) i)
(neg.f64 (/.f64 n i))
(/.f64 n i)
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
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
#s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 n i) #s(literal 100 binary64))
(*.f64 n i)
n
i
#s(literal 100 binary64)
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64))) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) i n) #s(literal 100 binary64)))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64))) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) i n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 100/3 binary64) (*.f64 n n)) #s(literal 50/3 binary64)) n #s(literal -50 binary64)) i (fma.f64 #s(literal 50 binary64) n #s(literal -50 binary64)))
#s(literal 100 binary64)
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64))) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)))
(*.f64 n i)
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 1/6 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(fma.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) n)
(*.f64 n #s(literal 100 binary64))
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)))
(*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 n #s(literal 100 binary64)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i))
(expm1.f64 i)
i
(*.f64 #s(literal 100 binary64) n)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
(*.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)
(fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i)))
(*.f64 (/.f64 n i) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)))
i
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n (*.f64 i i)))
(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)
n
(*.f64 (/.f64 i n) i)
(neg.f64 (/.f64 n i))
(/.f64 (neg.f64 n) i)
(/.f64 n i)

localize453.0ms (3.3%)

Memory
42.2MiB live, 427.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(*.f64 (/.f64 i n) i)
accuracy0.9600358279119916
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i))
accuracy12.563301942953748
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy40.30286490958656
(fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i)))
accuracy0
(expm1.f64 i)
accuracy0.1171875
(*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n))
accuracy5.601509549520425
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i)
accuracy16.283531172187356
#s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i))
accuracy0.08984375
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
accuracy0.3028194929492459
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
accuracy6.549267175318586
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
accuracy24.87844144237035
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
accuracy0
(*.f64 n i)
accuracy0.25461281408452463
(*.f64 (*.f64 n i) #s(literal 100 binary64))
accuracy5.601509549520425
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
accuracy24.205825775804865
#s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))
accuracy0.01171875
(/.f64 (expm1.f64 i) i)
accuracy0.0546875
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
accuracy0.07421875
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
accuracy13.368948337775482
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
Samples
308.0ms150×1valid
77.0ms66×2valid
16.0ms37×0valid
9.0ms3×5exit
Compiler

Compiled 367 to 46 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 371.0ms
ival-div: 191.0ms (51.5% of total)
ival-pow: 76.0ms (20.5% of total)
ival-mult: 33.0ms (8.9% of total)
ival-add: 25.0ms (6.7% of total)
adjust: 22.0ms (5.9% of total)
ival-sub: 9.0ms (2.4% of total)
const: 9.0ms (2.4% of total)
ival-expm1: 2.0ms (0.5% of total)
ival-neg: 2.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series94.0ms (0.7%)

Memory
-51.8MiB live, 92.4MiB allocated
Counts
23 → 492
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 (/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i) (patch (/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i) #<representation binary64>) () ())
#s(alt #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) (patch #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 n i) #s(literal 100 binary64)) (patch (*.f64 (*.f64 n i) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 n i) (patch (*.f64 n i) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (patch (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (patch (*.f64 (-.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 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))) (patch (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) (patch (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i) (patch (/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) (patch (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (patch #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) #<representation binary64>) () ())
#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())
#s(alt (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))) (patch (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (patch (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i)))) (patch (*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i)))) #<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>) () ())
#s(alt #s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) (patch #s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) #<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 (*.f64 (/.f64 i n) i) (patch (*.f64 (/.f64 i n) i) #<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 (/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i) (patch (/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i) (patch (/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i) #<representation binary64>) () ())) ())
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#s(alt (* -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)))))) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i)))) (patch (*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i)))) #<representation binary64>) () ())) ())
#s(alt (* -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)))))) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i)))) (patch (*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i)))) #<representation binary64>) () ())) ())
#s(alt (exp i) (taylor -inf n) (#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 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) (taylor -inf n) (#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 (+ (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))) (taylor -inf n) (#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 (+ (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))) (taylor -inf n) (#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 (* 100 (/ (* n (- (exp i) 1)) i)) (taylor -inf n) (#s(alt #s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) (patch #s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) (taylor -inf n) (#s(alt #s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) (patch #s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (* -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))))) (taylor -inf n) (#s(alt #s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) (patch #s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (* -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))))) (taylor -inf n) (#s(alt #s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) (patch #s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) #<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 (/ (pow i 2) n) (taylor -inf n) (#s(alt (*.f64 (/.f64 i n) i) (patch (*.f64 (/.f64 i n) i) #<representation binary64>) () ())) ())
#s(alt (/ (pow i 2) n) (taylor -inf n) (#s(alt (*.f64 (/.f64 i n) i) (patch (*.f64 (/.f64 i n) i) #<representation binary64>) () ())) ())
#s(alt (/ (pow i 2) n) (taylor -inf n) (#s(alt (*.f64 (/.f64 i n) i) (patch (*.f64 (/.f64 i n) i) #<representation binary64>) () ())) ())
#s(alt (/ (pow i 2) n) (taylor -inf n) (#s(alt (*.f64 (/.f64 i n) i) (patch (*.f64 (/.f64 i n) i) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
43.0ms
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) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (* (* n i) 100) (* n i) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* (- 1/2 (/ 1/2 n)) n) (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (- (pow (+ (/ i n) 1) n) 1) (- (exp i) 1) (+ (* i (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i))) (neg (/ n i))) (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (* 100 (+ (* i (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i))) (neg (/ n i)))) (pow (+ 1 (/ i n)) n) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (/ 1/3 (* n n)) (* (/ i n) i))
7.0ms
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) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (* (* n i) 100) (* n i) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* (- 1/2 (/ 1/2 n)) n) (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (- (pow (+ (/ i n) 1) n) 1) (- (exp i) 1) (+ (* i (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i))) (neg (/ n i))) (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (* 100 (+ (* i (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i))) (neg (/ n i)))) (pow (+ 1 (/ i n)) n) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (/ 1/3 (* n n)) (* (/ i n) i))
6.0ms
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) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (* (* n i) 100) (* n i) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* (- 1/2 (/ 1/2 n)) n) (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (- (pow (+ (/ i n) 1) n) 1) (- (exp i) 1) (+ (* i (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i))) (neg (/ n i))) (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (* 100 (+ (* i (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i))) (neg (/ n i)))) (pow (+ 1 (/ i n)) n) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (/ 1/3 (* n n)) (* (/ i n) i))
5.0ms
i
@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) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (* (* n i) 100) (* n i) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* (- 1/2 (/ 1/2 n)) n) (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (- (pow (+ (/ i n) 1) n) 1) (- (exp i) 1) (+ (* i (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i))) (neg (/ n i))) (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (* 100 (+ (* i (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i))) (neg (/ n i)))) (pow (+ 1 (/ i n)) n) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (/ 1/3 (* n n)) (* (/ i n) i))
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) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (* (* n i) 100) (* n i) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* (- 1/2 (/ 1/2 n)) n) (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (- (pow (+ (/ i n) 1) n) 1) (- (exp i) 1) (+ (* i (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i))) (neg (/ n i))) (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (* 100 (+ (* i (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i))) (neg (/ n i)))) (pow (+ 1 (/ i n)) n) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (/ 1/3 (* n n)) (* (/ i n) i))

simplify269.0ms (2%)

Memory
21.4MiB live, 260.4MiB allocated
Algorithm
1×egg-herbie
Rules
11 090×lower-fma.f64
11 090×lower-fma.f32
7 060×lower-*.f64
7 060×lower-*.f32
6 824×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097013932
1317312921
0885411895
Stop Event
1×iter limit
1×node limit
Counts
492 → 489
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))))))))))
(* 100 (* i n))
(* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 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) (* 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 (* i n))
(* 100 (* i n))
(* 100 (* i n))
(* 100 (* i n))
(* i n)
(* i n)
(* i n)
(* i n)
(* n (- 1/2 (* 1/2 (/ 1 n))))
(+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))
(+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))
(+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))
(* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))
(+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ (* 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)
(+ (* 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 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(* 100 n)
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-1/2
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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)))))))
(* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) 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))))
(/ n (pow i 2))
(* n (+ (* n (+ (* -1 (/ (log n) (pow i 2))) (/ (log i) (pow i 2)))) (/ 1 (pow i 2))))
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(* n (+ (* n (+ (* -1 (/ (log n) (pow i 2))) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))) (+ (* n (- (+ (* -1 (/ (log n) (pow i 3))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) (pow i 2))) (/ (log i) (pow i 3)))) (* 1/2 (/ 1 (pow i 4))))) (/ 1 (pow i 3))))) (/ (log i) (pow i 2))))) (/ 1 (pow i 2))))
(* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i))))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i)))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
1
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) 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))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
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(* 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 (- (exp i) 1)))
(* n (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1))))
(* n (+ (* -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))))))
(* n (+ (* -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 (* i n))
(* 100 (* i n))
(* 100 (* i n))
(* 100 (* i n))
(* i n)
(* i n)
(* i n)
(* i n)
(* n (+ 1/2 (* 1/6 i)))
(* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (* 1/6 i))) (* 1/2 (/ 1 n))))
(* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))))
(* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))))
(* 1/2 n)
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(* n (- 1/2 (* 1/2 (/ 1 n))))
(* n (- 1/2 (* 1/2 (/ 1 n))))
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(* n (+ (* 100 (+ 1/2 (* 1/6 i))) (* 100 (/ (- (* -1/2 i) 1/2) n))))
(* n (+ (* 100/3 (/ i (pow n 2))) (+ (* 100 (+ 1/2 (* 1/6 i))) (* 100 (/ (- (* -1/2 i) 1/2) n)))))
(* n (+ (* 100/3 (/ i (pow n 2))) (+ (* 100 (+ 1/2 (* 1/6 i))) (* 100 (/ (- (* -1/2 i) 1/2) n)))))
(* n (+ 100 (* 100 (* i (+ 1/2 (* 1/6 i))))))
(* n (+ 100 (+ (* 100 (* i (+ 1/2 (* 1/6 i)))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n)))))
(* n (+ 100 (+ (* 100/3 (/ (pow i 2) (pow n 2))) (+ (* 100 (* i (+ 1/2 (* 1/6 i)))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n))))))
(* n (+ 100 (+ (* 100/3 (/ (pow i 2) (pow n 2))) (+ (* 100 (* i (+ 1/2 (* 1/6 i)))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) 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))))))
(* 100 (* n (- (exp i) 1)))
(* n (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1))))
(* n (+ (* -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))))))
(* n (+ (* -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)
(* 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)))
(/ (* n (exp i)) (pow i 2))
(* n (+ (* -1/2 (/ (exp i) n)) (/ (exp i) (pow i 2))))
(* n (+ (* -1/2 (/ (exp i) n)) (+ (/ (exp i) (pow i 2)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* (pow i 2) (pow n 2))))))
(* n (+ (* -1/2 (/ (exp i) n)) (+ (/ (exp i) (pow i 2)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* (pow i 2) (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* (pow i 2) (pow n 2)))))))
(* 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)
(+ (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)))))
(* 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))))))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 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 (- (exp i) 1)))
(* -1 (* n (+ (* -100 (- (exp i) 1)) (* 50 (/ (* (pow i 2) (exp i)) n)))))
(* -1 (* n (+ (* -100 (- (exp i) 1)) (* -1 (/ (+ (* -50 (* (pow i 2) (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n))) n)))))
(* -1 (* n (+ (* -100 (- (exp i) 1)) (* -1 (/ (+ (* -50 (* (pow i 2) (exp i))) (* -1 (/ (+ (* -100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n))) n))) n)))))
(* 100 (* i n))
(* 100 (* i n))
(* 100 (* i n))
(* 100 (* i n))
(* i n)
(* i n)
(* i n)
(* i n)
(* -1 (* n (- (* -1/6 i) 1/2)))
(* -1 (* n (- (+ (* -1 (/ (- (* -1/2 i) 1/2) n)) (* -1/6 i)) 1/2)))
(* -1 (* n (- (+ (* -1 (/ (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2) n)) (* -1/6 i)) 1/2)))
(* -1 (* n (- (+ (* -1 (/ (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2) n)) (* -1/6 i)) 1/2)))
(* 1/2 n)
(* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))
(* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))
(* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))
(* -100 (* n (- (* -1/6 i) 1/2)))
(* -1 (* n (+ (* -100 (/ (- (* -1/2 i) 1/2) n)) (* 100 (- (* -1/6 i) 1/2)))))
(* -1 (* n (+ (* -1 (/ (+ (* 100/3 (/ i n)) (* 100 (- (* -1/2 i) 1/2))) n)) (* 100 (- (* -1/6 i) 1/2)))))
(* -1 (* n (+ (* -1 (/ (+ (* 100/3 (/ i n)) (* 100 (- (* -1/2 i) 1/2))) n)) (* 100 (- (* -1/6 i) 1/2)))))
(* -1 (* n (- (* 100 (* i (- (* -1/6 i) 1/2))) 100)))
(* -1 (* n (- (+ (* -100 (/ (* i (- (* -1/2 i) 1/2)) n)) (* 100 (* i (- (* -1/6 i) 1/2)))) 100)))
(* -1 (* n (- (+ (* -1 (/ (+ (* 100/3 (/ (pow i 2) n)) (* 100 (* i (- (* -1/2 i) 1/2)))) n)) (* 100 (* i (- (* -1/6 i) 1/2)))) 100)))
(* -1 (* n (- (+ (* -1 (/ (+ (* 100/3 (/ (pow i 2) n)) (* 100 (* i (- (* -1/2 i) 1/2)))) n)) (* 100 (* i (- (* -1/6 i) 1/2)))) 100)))
(* 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)))
(* -1 (* n (+ (* -100 (- (exp i) 1)) (* 50 (/ (* (pow i 2) (exp i)) n)))))
(* -1 (* n (+ (* -100 (- (exp i) 1)) (* -1 (/ (+ (* -50 (* (pow i 2) (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n))) n)))))
(* -1 (* n (+ (* -100 (- (exp i) 1)) (* -1 (/ (+ (* -50 (* (pow i 2) (exp i))) (* -1 (/ (+ (* -100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n))) n))) n)))))
(- (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 (* 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)))))
(/ (* n (exp i)) (pow i 2))
(* -1 (* n (+ (* -1 (/ (exp i) (pow i 2))) (* 1/2 (/ (exp i) n)))))
(* -1 (* n (+ (* -1 (/ (exp i) (pow i 2))) (* -1 (/ (+ (* -1/2 (exp i)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* (pow i 2) n))) n)))))
(* -1 (* n (+ (* -1 (/ (exp i) (pow i 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow i 2))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* (pow i 2) n))) n)) (* -1/2 (exp i))) n)))))
(* -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)
(+ (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)))
(* 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)))))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (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))))))))
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(* -1 (* n (+ (* -1 (/ (+ (* 100/3 (/ i n)) (* 100 (- (* -1/2 i) 1/2))) n)) (* 100 (- (* -1/6 i) 1/2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) i #s(literal -1/2 binary64)) #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal 100/3 binary64) (/.f64 i n) (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) #s(literal 100 binary64))) (neg.f64 n))) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (+ (* 100/3 (/ i n)) (* 100 (- (* -1/2 i) 1/2))) n)) (* 100 (- (* -1/6 i) 1/2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) i #s(literal -1/2 binary64)) #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal 100/3 binary64) (/.f64 i n) (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) #s(literal 100 binary64))) (neg.f64 n))) (neg.f64 n))
(* -1 (* n (- (* 100 (* i (- (* -1/6 i) 1/2))) 100)))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) i #s(literal -1/2 binary64)) i) #s(literal 100 binary64) #s(literal -100 binary64)) (neg.f64 n))
(* -1 (* n (- (+ (* -100 (/ (* i (- (* -1/2 i) 1/2)) n)) (* 100 (* i (- (* -1/6 i) 1/2)))) 100)))
(*.f64 (fma.f64 (*.f64 i (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n)) #s(literal -100 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) i #s(literal -1/2 binary64)) i) #s(literal 100 binary64) #s(literal -100 binary64))) (neg.f64 n))
(* -1 (* n (- (+ (* -1 (/ (+ (* 100/3 (/ (pow i 2) n)) (* 100 (* i (- (* -1/2 i) 1/2)))) n)) (* 100 (* i (- (* -1/6 i) 1/2)))) 100)))
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 #s(literal -1/6 binary64) i #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) #s(literal 100 binary64) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))) (neg.f64 n))) #s(literal 100 binary64)) (neg.f64 n))
(* -1 (* n (- (+ (* -1 (/ (+ (* 100/3 (/ (pow i 2) n)) (* 100 (* i (- (* -1/2 i) 1/2)))) n)) (* 100 (* i (- (* -1/6 i) 1/2)))) 100)))
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 #s(literal -1/6 binary64) i #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) #s(literal 100 binary64) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))) (neg.f64 n))) #s(literal 100 binary64)) (neg.f64 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 (*.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 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 i n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) (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 1/48 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)))) (*.f64 i n)) (*.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 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i))) (neg.f64 n))) (neg.f64 n))) (neg.f64 n))
(* 100 (* n (- (exp i) 1)))
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)
(* -1 (* n (+ (* -100 (- (exp i) 1)) (* 50 (/ (* (pow i 2) (exp i)) n)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (exp.f64 i) i) i) n) #s(literal 50 binary64) (*.f64 #s(literal -100 binary64) (expm1.f64 i))) (neg.f64 n))
(* -1 (* n (+ (* -100 (- (exp i) 1)) (* -1 (/ (+ (* -50 (* (pow i 2) (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n))) n)))))
(*.f64 (fma.f64 #s(literal -100 binary64) (expm1.f64 i) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) (*.f64 i i) (*.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 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) n))) (neg.f64 n))) (neg.f64 n))
(* -1 (* n (+ (* -100 (- (exp i) 1)) (* -1 (/ (+ (* -50 (* (pow i 2) (exp i))) (* -1 (/ (+ (* -100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n))) n))) n)))))
(*.f64 (fma.f64 #s(literal -100 binary64) (expm1.f64 i) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64)))) (exp.f64 i) (*.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n))) (neg.f64 n))) (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 (*.f64 (*.f64 (exp.f64 i) 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)
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n)) (expm1.f64 i))
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #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 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i)) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* 1/2 (/ (* i (exp i)) n)) (/ 1 i)))))
(*.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 (exp.f64 i) #s(literal -1/2 binary64)) i (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 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 (exp.f64 i) #s(literal -1/2 binary64)) i (/.f64 (fma.f64 (neg.f64 (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i) (/.f64 (*.f64 (fma.f64 #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)) (*.f64 i n))) (neg.f64 n))) n)) (/.f64 (exp.f64 i) i)) (neg.f64 n))
(/ (* n (exp i)) (pow i 2))
(/.f64 (*.f64 (exp.f64 i) n) (*.f64 i i))
(* -1 (* n (+ (* -1 (/ (exp i) (pow i 2))) (* 1/2 (/ (exp i) n)))))
(*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 i) n) #s(literal 1/2 binary64)) (/.f64 (exp.f64 i) (*.f64 i i))) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (exp i) (pow i 2))) (* -1 (/ (+ (* -1/2 (exp i)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* (pow i 2) n))) n)))))
(*.f64 n (+.f64 (/.f64 (exp.f64 i) (*.f64 i i)) (/.f64 (*.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 (*.f64 i i) n)) #s(literal -1/2 binary64))) n)))
(* -1 (* n (+ (* -1 (/ (exp i) (pow i 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow i 2))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* (pow i 2) n))) n)) (* -1/2 (exp i))) n)))))
(*.f64 n (+.f64 (/.f64 (exp.f64 i) (*.f64 i i)) (/.f64 (fma.f64 (exp.f64 i) #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 i 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)) (*.f64 (*.f64 i i) n))) (neg.f64 n))) 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 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 i n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) (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 1/48 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)))) (*.f64 i n)) (*.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 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i))) (neg.f64 n))) (neg.f64 n))) (neg.f64 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 (*.f64 (*.f64 i i) i) #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 (*.f64 (*.f64 i i) i) #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))
(* 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 (*.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 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 i n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) (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 1/48 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)))) (*.f64 i n)) (*.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 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i))) (neg.f64 n))) (neg.f64 n))) (neg.f64 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))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/ 1/3 (pow n 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/ (pow i 2) n)
(/.f64 (*.f64 i i) n)
(/ (pow i 2) n)
(/.f64 (*.f64 i i) n)
(/ (pow i 2) n)
(/.f64 (*.f64 i i) n)
(/ (pow i 2) n)
(/.f64 (*.f64 i i) n)

rewrite249.0ms (1.8%)

Memory
7.5MiB live, 199.0MiB allocated
Rules
5 040×lower-/.f32
5 024×lower-/.f64
4 354×lower-*.f32
4 332×lower-*.f64
3 736×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052335
087335
1370329
22823317
08506297
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 571
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)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
#s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 n i) #s(literal 100 binary64))
(*.f64 n i)
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i))
(expm1.f64 i)
(fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i)))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(*.f64 (/.f64 i n) i)
Outputs
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 (+.f64 i i)))) (/.f64 (*.f64 n #s(literal 100 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (/.f64 (*.f64 n #s(literal 100 binary64)) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))
(*.f64 (*.f64 n (/.f64 (expm1.f64 i) i)) #s(literal 100 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 i))))
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64))))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 i) i) n))
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 i)) (*.f64 n #s(literal 100 binary64)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) (*.f64 n #s(literal 100 binary64)))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 n #s(literal 100 binary64)))) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) (*.f64 n #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 i) (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 n #s(literal 100 binary64))) (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))) i)
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i))
(*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 (expm1.f64 i)) i))
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(pow.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 i)) #s(literal 100 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) #s(literal 100 binary64)) (neg.f64 i))
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 i))) (neg.f64 i))
(/.f64 #s(literal -100 binary64) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
(/.f64 #s(literal 100 binary64) (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i) (/.f64 (expm1.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 i (expm1.f64 (+.f64 i i))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))))
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 i)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (expm1.f64 i))
(*.f64 (neg.f64 (expm1.f64 i)) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 i) i))
(pow.f64 (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 i (expm1.f64 i)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 i i)) (/.f64 #s(literal 1 binary64) i))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) i))) (neg.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal 1 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (neg.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 (*.f64 i i) i)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) i)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i))) i)))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 i) i) (*.f64 i #s(literal 1 binary64)))) (neg.f64 (*.f64 i i)))
(/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) (/.f64 #s(literal 1 binary64) i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) i)) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i))))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 1 binary64)) i)
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i)))
(/.f64 (-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 (*.f64 i i) i)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) i))) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 i))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 i i))) (neg.f64 (*.f64 i (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (neg.f64 (*.f64 i (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i))))))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i))) i))
(/.f64 (-.f64 (*.f64 (exp.f64 i) i) (*.f64 i #s(literal 1 binary64))) (*.f64 i i))
(/.f64 (expm1.f64 (+.f64 i i)) (*.f64 i (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 i (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))))
(/.f64 (neg.f64 (expm1.f64 i)) (neg.f64 i))
(/.f64 (expm1.f64 i) i)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i (expm1.f64 i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 i)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 i)) i))
(neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i)))
(fma.f64 (exp.f64 i) (/.f64 #s(literal 1 binary64) i) (neg.f64 (/.f64 #s(literal 1 binary64) i)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 (*.f64 i i) i)) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) i)) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))))))
(-.f64 (/.f64 (*.f64 (exp.f64 i) i) (*.f64 i i)) (/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 i i)))
(-.f64 (/.f64 (exp.f64 (+.f64 i i)) (*.f64 i (+.f64 (exp.f64 i) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 i (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i))))) (/.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 i)) (/.f64 (expm1.f64 i) (neg.f64 i)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))) i) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))) i))
(-.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))
(exp.f64 (*.f64 (log.f64 (/.f64 i (expm1.f64 i))) #s(literal -1 binary64)))
(+.f64 (/.f64 (exp.f64 i) i) (neg.f64 (/.f64 #s(literal 1 binary64) i)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(*.f64 (neg.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i))
(pow.f64 (/.f64 (/.f64 i #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 i #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) #s(literal 1 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (*.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) #s(literal 1 binary64)) i)
(/.f64 (neg.f64 (neg.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))) (neg.f64 (neg.f64 i)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))))
(/.f64 (neg.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))) (neg.f64 i))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 i #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))) i))
(neg.f64 (/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) (neg.f64 i)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 i)) (/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) (neg.f64 i)))
(exp.f64 (*.f64 (log.f64 (/.f64 i #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))) #s(literal -1 binary64)))
#s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 i #s(literal 100 binary64)) n)
(*.f64 (*.f64 n #s(literal 100 binary64)) i)
(*.f64 (*.f64 n i) #s(literal 100 binary64))
(*.f64 n (*.f64 i #s(literal 100 binary64)))
(*.f64 i (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 n i))
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eval205.0ms (1.5%)

Memory
17.0MiB live, 217.2MiB allocated
Compiler

Compiled 35 774 to 3 066 computations (91.4% saved)

prune316.0ms (2.3%)

Memory
-13.7MiB live, 272.1MiB allocated
Pruning

49 alts after pruning (44 fresh and 5 done)

PrunedKeptTotal
New1 099271 126
Fresh181735
Picked325
Done033
Total1 120491 169
Accuracy
100.0%
Counts
1 169 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.7%
(fma.f64 (/.f64 #s(literal 100 binary64) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
17.8%
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 i #s(literal 100 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i i)) n)))
✓25.9%
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
16.3%
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
72.5%
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 100 binary64) n)) i)
10.9%
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (*.f64 #s(literal 100 binary64) n)) i)
✓74.6%
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i)
58.1%
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (*.f64 #s(literal 100 binary64) n)) i)
10.9%
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (-.f64 (log.f64 i) (log.f64 n)))) i)
✓53.2%
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
53.5%
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
53.4%
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 i #s(literal 100 binary64)) n)) i)
25.5%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
52.3%
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))) #s(literal -1 binary64)))
53.2%
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
21.4%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
21.3%
(*.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)))
▶18.1%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
20.7%
(*.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)))
21.3%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
13.7%
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
14.2%
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 (fma.f64 i n n) (*.f64 i i))) (neg.f64 (/.f64 n i))))
16.8%
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 n (*.f64 i i))) (neg.f64 (/.f64 n i))))
12.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (*.f64 (/.f64 i n) i)))
6.9%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (*.f64 (/.f64 i n) i) (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i))) (*.f64 i (*.f64 (/.f64 i n) i))))
✓81.7%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
10.1%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
3.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 n n))) i)) (/.f64 i n)))
▶48.2%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
25.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (*.f64 i i)) (*.f64 (/.f64 i n) i)))
24.2%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i)))
58.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
10.9%
(*.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))))
22.3%
(exp.f64 (*.f64 (log.f64 (/.f64 i #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))) #s(literal -1 binary64)))
46.6%
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n)))
58.2%
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
17.7%
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) i)))
60.3%
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
9.3%
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))))
79.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) n))
▶79.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
▶79.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n))
60.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
64.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64)))))
61.5%
#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))
▶58.3%
#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))
✓53.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
61.5%
#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)))))
41.1%
#s(approx (* 100 (/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 i (expm1.f64 i)) n)) (*.f64 i i)))
Compiler

Compiled 1 565 to 963 computations (38.5% saved)

simplify131.0ms (0.9%)

Memory
-5.0MiB live, 149.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
cost-diff128
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
cost-diff640
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i))
cost-diff704
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i))
cost-diff0
(expm1.f64 i)
cost-diff0
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
cost-diff0
(*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n))
cost-diff0
(*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)
cost-diff0
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i))
cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
cost-diff384
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n))
cost-diff0
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
cost-diff0
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
cost-diff0
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
cost-diff0
(/.f64 (expm1.f64 i) i)
cost-diff0
(*.f64 (/.f64 (expm1.f64 i) i) n)
cost-diff0
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
Rules
10 712×lower-fma.f32
10 708×lower-fma.f64
4 632×lower-*.f32
4 612×lower-*.f64
1 866×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056424
081424
1161418
2339408
3881408
42461408
56381408
08202389
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) n) #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
n
#s(literal 100 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
#s(literal 50 binary64)
i
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i))
(*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)
#s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
i
(/.f64 i n)
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n))
(*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
(expm1.f64 i)
i
(/.f64 #s(literal 100 binary64) i)
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
#s(literal 100 binary64)
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i 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 i i)
(/.f64 (neg.f64 n) i)
(neg.f64 n)
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
n
#s(literal 100 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
#s(literal 50 binary64)
i
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)))
#s(literal 100 binary64)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n))
(*.f64 (/.f64 n i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i))
(*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)
#s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
i
(/.f64 i n)
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
(*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(expm1.f64 i)
i
(/.f64 #s(literal 100 binary64) i)
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
(*.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)
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i))
(*.f64 (/.f64 n i) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i))
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) 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 i i)
(/.f64 (neg.f64 n) i)
(neg.f64 n)

localize404.0ms (2.9%)

Memory
-21.4MiB live, 311.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.13209759227834134
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
accuracy13.047665930686135
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy25.2669753747913
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i))
accuracy39.967182205462485
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i))
accuracy0
(expm1.f64 i)
accuracy0.05859375
(*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)
accuracy0.09375
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
accuracy13.368948337775482
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n))
accuracy0.5393016429725209
(*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)
accuracy8.045933935024136
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n))
accuracy26.33508004991483
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i))
accuracy30.431849185651362
#s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64))
accuracy0
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
accuracy0.05859375
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
accuracy13.368948337775482
#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))
accuracy24.707427331106384
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
accuracy0.01171875
(/.f64 (expm1.f64 i) i)
accuracy0.0546875
(*.f64 (/.f64 (expm1.f64 i) i) n)
accuracy0.07421875
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))
accuracy13.368948337775482
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
Samples
201.0ms152×1valid
117.0ms68×2valid
32.0ms36×0valid
Compiler

Compiled 317 to 48 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 268.0ms
ival-pow: 84.0ms (31.3% of total)
ival-add: 50.0ms (18.6% of total)
ival-mult: 49.0ms (18.3% of total)
ival-div: 43.0ms (16% of total)
adjust: 22.0ms (8.2% of total)
const: 9.0ms (3.4% of total)
ival-sub: 7.0ms (2.6% of total)
ival-expm1: 2.0ms (0.7% 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)

series53.0ms (0.4%)

Memory
16.4MiB live, 55.3MiB allocated
Counts
22 → 468
Calls
Call 1
Inputs
#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)) (patch (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (expm1.f64 i) i) n) (patch (*.f64 (/.f64 (expm1.f64 i) i) n) #<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(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) (patch #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)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n) (patch (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) (patch #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (patch (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)) (patch (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n))) (patch (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (patch #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i) (patch (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i) #<representation binary64>) () ())
#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n) (patch (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n) #<representation binary64>) () ())
#s(alt (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) (patch (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) #<representation binary64>) () ())
#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)) (patch (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) (patch (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i))) (patch (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i 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 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) #<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>) () ())
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) n) #s(literal 100 binary64))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))) #<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) n) #s(literal 100 binary64))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))) #<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) n) #s(literal 100 binary64))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) 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 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 100 n) (taylor 0 i) (#s(alt (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)) (patch (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 50 (* i n)) (* 100 n)) (taylor 0 i) (#s(alt (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)) (patch (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)) #<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) n) #s(literal 100 binary64)) (patch (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)) #<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) n) #s(literal 100 binary64)) (patch (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 i) (#s(alt (*.f64 (/.f64 (expm1.f64 i) i) n) (patch (*.f64 (/.f64 (expm1.f64 i) i) n) #<representation binary64>) () ())) ())
#s(alt (+ n (* 1/2 (* i n))) (taylor 0 i) (#s(alt (*.f64 (/.f64 (expm1.f64 i) i) n) (patch (*.f64 (/.f64 (expm1.f64 i) i) n) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n)))) (taylor 0 i) (#s(alt (*.f64 (/.f64 (expm1.f64 i) i) n) (patch (*.f64 (/.f64 (expm1.f64 i) i) n) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n)))))) (taylor 0 i) (#s(alt (*.f64 (/.f64 (expm1.f64 i) i) n) (patch (*.f64 (/.f64 (expm1.f64 i) i) n) #<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(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) (patch #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)) #<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(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) (patch #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)) #<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(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) (patch #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)) #<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(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* 100 n) (taylor 0 i) (#s(alt (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n) (patch (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
#s(alt (+ (* 50 (* i n)) (* 100 n)) (taylor 0 i) (#s(alt (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n) (patch (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) 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 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n) (patch (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) 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 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n) (patch (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 i) (#s(alt #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) (patch #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* 1/2 (/ (* i (exp i)) n)) (/ 1 i))))) (taylor -inf n) (#s(alt (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)) (patch (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i 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 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)) (patch (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i 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 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)) (patch (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)) #<representation binary64>) () ())) ())
#s(alt (/ (exp i) i) (taylor -inf n) (#s(alt (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) (patch (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (taylor -inf n) (#s(alt (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) (patch (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)) (taylor -inf n) (#s(alt (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) (patch (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)) (taylor -inf n) (#s(alt (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) (patch (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i)))) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i))) (patch (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i)))))) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i))) (patch (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i))) #<representation binary64>) () ())) ())
#s(alt (* -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)))))) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i))) (patch (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i))) #<representation binary64>) () ())) ())
#s(alt (* -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)))))) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i))) (patch (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i))) #<representation binary64>) () ())) ())
#s(alt (* i (exp i)) (taylor -inf n) (#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 (+ (* -1/2 (/ (* (pow i 3) (exp i)) n)) (* i (exp i))) (taylor -inf n) (#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 (+ (* -1 (/ (+ (* -1 (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 3) (exp i)))) n)) (* i (exp i))) (taylor -inf n) (#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 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* i (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4)))))) n)) (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 1/2 (* (pow i 3) (exp i)))) n)) (* i (exp i))) (taylor -inf n) (#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 (+ 1 (* i (+ 1/2 (* 1/6 i)))) (taylor -inf n) (#s(alt #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* i (+ 1/2 (* 1/2 i))) n)) (* i (+ 1/2 (* 1/6 i))))) (taylor -inf n) (#s(alt #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* i (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1/2 (* 1/6 i))))) (taylor -inf n) (#s(alt #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* i (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1/2 (* 1/6 i))))) (taylor -inf n) (#s(alt #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp i) (taylor -inf n) (#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 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) (taylor -inf n) (#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 (+ (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))) (taylor -inf n) (#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 (+ (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))) (taylor -inf n) (#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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) n) 100) (* (/ (- (exp i) 1) i) n) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (- (exp i) 1) (/ 100 i)) n) (* (- (exp i) 1) (/ 100 i)) (- (exp i) 1) (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (* (pow (+ (/ i n) 1) n) i) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (pow (+ (/ i n) 1) n))
3.0ms
i
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) n) 100) (* (/ (- (exp i) 1) i) n) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (- (exp i) 1) (/ 100 i)) n) (* (- (exp i) 1) (/ 100 i)) (- (exp i) 1) (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (* (pow (+ (/ i n) 1) n) i) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (pow (+ (/ i n) 1) n))
2.0ms
n
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) n) 100) (* (/ (- (exp i) 1) i) n) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (- (exp i) 1) (/ 100 i)) n) (* (- (exp i) 1) (/ 100 i)) (- (exp i) 1) (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (* (pow (+ (/ i n) 1) n) i) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (pow (+ (/ i n) 1) n))
2.0ms
n
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) n) 100) (* (/ (- (exp i) 1) i) n) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (- (exp i) 1) (/ 100 i)) n) (* (- (exp i) 1) (/ 100 i)) (- (exp i) 1) (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (* (pow (+ (/ i n) 1) n) i) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (pow (+ (/ i n) 1) n))
2.0ms
i
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) n) 100) (* (/ (- (exp i) 1) i) n) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (- (exp i) 1) (/ 100 i)) n) (* (- (exp i) 1) (/ 100 i)) (- (exp i) 1) (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (* (pow (+ (/ i n) 1) n) i) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (pow (+ (/ i n) 1) n))

simplify282.0ms (2.1%)

Memory
7.5MiB live, 248.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 530×lower-fma.f64
10 530×lower-fma.f32
6 630×lower-+.f64
6 630×lower-+.f32
6 172×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089913394
1288112383
0833711256
Stop Event
1×iter limit
1×node limit
Counts
468 → 461
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))))))
n
(+ n (* 1/2 (* i n)))
(+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))
(+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))
1
(+ 1 (* 1/2 i))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))
(* 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))))))
100
(+ 100 (* 50 i))
(+ 100 (* 50 i))
(+ 100 (* 50 i))
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)
(+ (* 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))))))))))
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))))))
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)))) (* 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))))))))
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(/ 1 i)
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i
(+ i (* i (* n (+ (log i) (* -1 (log n))))))
(+ i (* n (+ (* i (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (* i (+ (log i) (* -1 (log n)))))))
(+ i (* n (+ (* i (+ (log i) (* -1 (log n)))) (* n (+ (* i (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))))) (* i (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
(* 1/3 (/ (pow i 2) (pow n 2)))
(/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) (pow n 2))
(/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) (pow n 2))
(/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) (pow n 2))
1
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
(* 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 (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* 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 (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (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) 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))))))
(- (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)
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(+ (* i (+ 1 (* i (+ 1/2 (* 1/6 i))))) (/ (* (pow i 2) (- (* -1/2 i) 1/2)) n))
(+ (* 1/3 (/ (pow i 3) (pow n 2))) (+ (* i (+ 1 (* i (+ 1/2 (* 1/6 i))))) (/ (* (pow i 2) (- (* -1/2 i) 1/2)) n)))
(+ (* 1/3 (/ (pow i 3) (pow n 2))) (+ (* i (+ 1 (* i (+ 1/2 (* 1/6 i))))) (/ (* (pow i 2) (- (* -1/2 i) 1/2)) 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))))))
(* 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 (- (/ (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)))
(/ (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))))))
(* 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))))))))
(* i (exp i))
(+ (* -1/2 (/ (* (pow i 3) (exp i)) n)) (* i (exp i)))
(+ (* -1/2 (/ (* (pow i 3) (exp i)) n)) (+ (* i (exp i)) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow n 2))))
(+ (* -1/2 (/ (* (pow i 3) (exp i)) n)) (+ (* i (exp i)) (+ (/ (* i (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6)))))) (pow n 3)) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow n 2)))))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))
(+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(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)))))
(* 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))
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* 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))
(/ (* 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 (- (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)))))
(- (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)
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(+ (* -1 (/ (* (pow i 2) (+ 1/2 (* 1/2 i))) n)) (* i (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(+ (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* (pow i 2) (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(+ (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* (pow i 2) (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1 (* i (+ 1/2 (* 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)))))
(* 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)))))
(/ (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))
(* -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))))))
(* i (exp i))
(+ (* -1/2 (/ (* (pow i 3) (exp i)) n)) (* i (exp i)))
(+ (* -1 (/ (+ (* -1 (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 3) (exp i)))) n)) (* i (exp i)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* i (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4)))))) n)) (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 1/2 (* (pow i 3) (exp i)))) n)) (* i (exp i)))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (+ (* -1 (/ (* i (+ 1/2 (* 1/2 i))) n)) (* i (+ 1/2 (* 1/6 i)))))
(+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* i (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1/2 (* 1/6 i)))))
(+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* i (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1/2 (* 1/6 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)))
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 #s(literal 100 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 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) (*.f64 (*.f64 n n) n)) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)))) i (*.f64 n #s(literal 100 binary64)))
(* 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)))
n
(+ n (* 1/2 (* i n)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n)
(+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
(+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))
(fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 i))
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(* 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))
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(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 50 binary64) (fma.f64 #s(literal -100 binary64) (/.f64 (exp.f64 i) i) (/.f64 #s(literal 100 binary64) i))) (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 (-.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (exp.f64 i) i) (/.f64 #s(literal 100 binary64) i)) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 i n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) 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 (-.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (exp.f64 i) i) (/.f64 #s(literal 100 binary64) 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 1/48 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)))) (*.f64 i n)) (*.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 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) i))) (neg.f64 n))) n)) (neg.f64 n))
(* i (exp i))
(*.f64 (exp.f64 i) i)
(+ (* -1/2 (/ (* (pow i 3) (exp i)) n)) (* i (exp i)))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 i) i) i) i) n) #s(literal -1/2 binary64) (*.f64 (exp.f64 i) i))
(+ (* -1 (/ (+ (* -1 (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 3) (exp i)))) n)) (* i (exp i)))
(fma.f64 (exp.f64 i) i (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 (*.f64 i i) i) (*.f64 (neg.f64 i) (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) n)))) (neg.f64 n)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* i (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4)))))) n)) (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 1/2 (* (pow i 3) (exp i)))) n)) (* i (exp i)))
(fma.f64 (exp.f64 i) i (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 (*.f64 i i) i) (/.f64 (fma.f64 (*.f64 i (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64)))) (exp.f64 i) (*.f64 (neg.f64 i) (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) (neg.f64 n))) (neg.f64 n)))
(+ 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 (+ (* -1 (/ (* i (+ 1/2 (* 1/2 i))) n)) (* i (+ 1/2 (* 1/6 i)))))
(fma.f64 (neg.f64 i) (/.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)) n) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
(+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* i (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1/2 (* 1/6 i)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)) i)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i))
(+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* i (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1/2 (* 1/6 i)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)) i)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i))
(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 (*.f64 (*.f64 i i) i) #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 (*.f64 (*.f64 i i) i) #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))

rewrite245.0ms (1.8%)

Memory
-16.9MiB live, 179.4MiB allocated
Rules
5 326×lower-/.f32
5 314×lower-/.f64
4 164×lower-*.f32
4 144×lower-*.f64
4 000×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056381
081381
1357365
22894355
08913329
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 743
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(/.f64 (expm1.f64 i) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i))
(*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n))
(*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
(expm1.f64 i)
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
#s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) i) n))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 (+.f64 i i)))) (/.f64 (*.f64 n #s(literal 100 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (/.f64 (*.f64 n #s(literal 100 binary64)) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))))
(*.f64 (*.f64 (expm1.f64 i) n) (/.f64 #s(literal 100 binary64) i))
(*.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) n) (expm1.f64 i))
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 i))))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (expm1.f64 i) n))
(*.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 (expm1.f64 i) (/.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) n) #s(literal 1 binary64)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64))))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 100 binary64) i) n))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 i) i) n))
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 i i)) (*.f64 (/.f64 #s(literal 100 binary64) i) n))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 100 binary64) i) n))) (neg.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 i)) (*.f64 n #s(literal 100 binary64)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) (*.f64 n #s(literal 100 binary64)))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 n #s(literal 100 binary64)))) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) (*.f64 (/.f64 #s(literal 100 binary64) i) n)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 100 binary64) i) n)) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i))))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64)) i)
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) (*.f64 n #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 i) (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 n #s(literal 100 binary64))) (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))) i)
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i)
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 n i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 (+.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 i (expm1.f64 (+.f64 i i)))) (/.f64 (neg.f64 n) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (/.f64 (neg.f64 n) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 (+.f64 i i)))) (/.f64 n (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (/.f64 n (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))))
(*.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (expm1.f64 i))))
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 (neg.f64 (expm1.f64 i)) i))
(*.f64 (*.f64 (expm1.f64 i) n) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 n i) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 i))))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 n (/.f64 #s(literal 1 binary64) (expm1.f64 i))))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(pow.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 i)) n)) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 n (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 i) n))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) n) (neg.f64 i))
(/.f64 (*.f64 n (neg.f64 (expm1.f64 i))) (neg.f64 i))
(/.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 i (expm1.f64 i)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) n)) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 i) n) i)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (expm1.f64 i) n))))
(/.f64 (neg.f64 n) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) n)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 i (expm1.f64 i))) (/.f64 (neg.f64 n) (/.f64 i (expm1.f64 i))))
(*.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i) (/.f64 (expm1.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 i (expm1.f64 (+.f64 i i))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))))
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 i)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (expm1.f64 i))
(*.f64 (neg.f64 (expm1.f64 i)) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 i) i))
(pow.f64 (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 i (expm1.f64 i)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 i i)) (/.f64 #s(literal 1 binary64) i))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) i))) (neg.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal 1 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (neg.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 (*.f64 i i) i)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) i)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 (neg.f64 i))))
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(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(*.f64 i (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 n))
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) n)
(pow.f64 (/.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 i n) #s(literal 1 binary64))) (*.f64 n #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1/2 binary64))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(/.f64 (neg.f64 (*.f64 (neg.f64 i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (neg.f64 (neg.f64 i)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i))))
(/.f64 (*.f64 (neg.f64 i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (neg.f64 i))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) i)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (neg.f64 n)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)))
(-.f64 (/.f64 #s(literal 0 binary64) i) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (neg.f64 i)))
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 i n) #s(literal 1 binary64)))) (*.f64 n #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))

eval154.0ms (1.1%)

Memory
40.3MiB live, 262.6MiB allocated
Compiler

Compiled 30 930 to 3 303 computations (89.3% saved)

prune290.0ms (2.1%)

Memory
-31.1MiB live, 502.5MiB allocated
Pruning

59 alts after pruning (51 fresh and 8 done)

PrunedKeptTotal
New1 219251 244
Fresh132639
Picked235
Done055
Total1 234591 293
Accuracy
100.0%
Counts
1 293 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.2%
(fma.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
20.9%
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)))
20.6%
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)))
✓25.9%
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
72.5%
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 100 binary64) n)) i)
10.9%
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (*.f64 #s(literal 100 binary64) n)) i)
✓74.6%
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i)
58.1%
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (*.f64 #s(literal 100 binary64) n)) i)
47.6%
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
10.9%
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (-.f64 (log.f64 i) (log.f64 n)))) i)
✓53.2%
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
53.4%
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 i #s(literal 100 binary64)) n)) i)
53.2%
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n)))
53.2%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
25.5%
(*.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
52.3%
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))) #s(literal -1 binary64)))
53.2%
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
45.4%
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 n i))
45.9%
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
21.4%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
19.2%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 i n)) (/.f64 (neg.f64 n) i)))
17.2%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
20.7%
(*.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)))
11.9%
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) (/.f64 #s(literal 1 binary64) i)) n (/.f64 (neg.f64 n) i)))
13.7%
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
16.8%
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 n (*.f64 i i))) (neg.f64 (/.f64 n i))))
12.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (*.f64 (/.f64 i n) i)))
7.3%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i n)) (/.f64 (neg.f64 i) n) (*.f64 (*.f64 i i) #s(literal 1 binary64))) (*.f64 (*.f64 i i) (/.f64 (neg.f64 i) n))))
6.5%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i n)) i (*.f64 (*.f64 i i) (neg.f64 n))) (*.f64 (*.f64 i i) i)))
8.3%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (*.f64 i i) (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i n)))) (*.f64 (*.f64 i i) i)))
✓81.7%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
10.1%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
3.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 n n))) i)) (/.f64 i n)))
✓48.2%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
25.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (*.f64 i i)) (*.f64 (/.f64 i n) i)))
53.3%
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
24.2%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i)))
58.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
10.9%
(*.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))))
53.4%
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/.f64 (fma.f64 i n #s(literal 0 binary64)) i)))
22.3%
(exp.f64 (*.f64 (log.f64 (/.f64 i #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))) #s(literal -1 binary64)))
46.6%
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n)))
58.2%
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
17.7%
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) i)))
60.3%
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
9.3%
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))))
78.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) (*.f64 i #s(literal 1/100 binary64))) n))
✓79.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
61.5%
#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)))
60.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
58.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
58.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n))
64.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64)))))
61.5%
#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))
✓58.3%
#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))
11.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
✓53.2%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
61.5%
#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)))))
16.3%
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
Compiler

Compiled 2 828 to 990 computations (65% saved)

regimes110.0ms (0.8%)

Memory
22.4MiB live, 181.1MiB allocated
Counts
108 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 i #s(literal 100 binary64)) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 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 #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 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
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(exp.f64 (*.f64 (log.f64 (/.f64 i #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))) #s(literal -1 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (-.f64 (log.f64 i) (log.f64 n)))) i)
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (/.f64 (exp.f64 i) n) (/.f64 (expm1.f64 i) i)) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64)) n) n))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Calls

4 calls:

29.0ms
i
28.0ms
n
25.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
24.0ms
(*.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
91.2%3i
93.9%3n
96.2%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)))
96.2%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes104.0ms (0.8%)

Memory
-9.8MiB live, 149.5MiB allocated
Counts
105 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 i #s(literal 100 binary64)) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 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 #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 #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 (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/.f64 (fma.f64 i n #s(literal 0 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n)))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 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 (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) (/.f64 #s(literal 1 binary64) i)) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (*.f64 i i)) (*.f64 (/.f64 i n) i)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 n (*.f64 i i))) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 (fma.f64 i n n) (*.f64 i i))) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 n n))) i)) (/.f64 i 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 (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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)) n) i))
(*.f64 (*.f64 (/.f64 n i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(*.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)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) i)) i)
(/.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) (/.f64 #s(literal 1 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) (*.f64 i #s(literal 1/100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 i (expm1.f64 i)) n)) (*.f64 i i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) n))
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)) n) i)
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (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) (*.f64 (*.f64 n n) n)) (/.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 (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.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) (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 n #s(literal 100 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)))
(fma.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) (exp.f64 i)) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 i i)) n (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 i #s(literal 100 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i i)) n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) n) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (*.f64 i i) (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i n)))) (*.f64 (*.f64 i i) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i n)) i (*.f64 (*.f64 i i) (neg.f64 n))) (*.f64 (*.f64 i i) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 #s(literal 100 binary64) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (*.f64 (/.f64 i n) i) (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i))) (*.f64 i (*.f64 (/.f64 i n) i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 i n)) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i n)) (/.f64 (neg.f64 i) n) (*.f64 (*.f64 i i) #s(literal 1 binary64))) (*.f64 (*.f64 i i) (/.f64 (neg.f64 i) n))))
(exp.f64 (*.f64 (log.f64 (/.f64 i #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))) #s(literal -1 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (-.f64 (log.f64 i) (log.f64 n)))) i)
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (/.f64 (exp.f64 i) n) (/.f64 (expm1.f64 i) i)) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)) n)))
Outputs
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 100 binary64) n)) i)
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 100 binary64) n)) i)
Calls

4 calls:

27.0ms
i
27.0ms
n
22.0ms
(*.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)))
21.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
89.9%3i
89.9%5n
86.7%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)))
86.7%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes101.0ms (0.7%)

Memory
-2.1MiB live, 112.1MiB allocated
Counts
102 → 5
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 i #s(literal 100 binary64)) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 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 #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 #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 (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/.f64 (fma.f64 i n #s(literal 0 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n)))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 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 (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) (/.f64 #s(literal 1 binary64) i)) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (*.f64 i i)) (*.f64 (/.f64 i n) i)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 n (*.f64 i i))) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 (fma.f64 i n n) (*.f64 i i))) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 n n))) i)) (/.f64 i 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 (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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)) n) i))
(*.f64 (*.f64 (/.f64 n i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(*.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)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) i)) i)
(/.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) (/.f64 #s(literal 1 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) (*.f64 i #s(literal 1/100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 i (expm1.f64 i)) n)) (*.f64 i i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) n))
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)) n) i)
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (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) (*.f64 (*.f64 n n) n)) (/.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 (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.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) (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 n #s(literal 100 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)))
(fma.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) (exp.f64 i)) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 i i)) n (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 i #s(literal 100 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i i)) n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) n) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (*.f64 i i) (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i n)))) (*.f64 (*.f64 i i) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i n)) i (*.f64 (*.f64 i i) (neg.f64 n))) (*.f64 (*.f64 i i) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 #s(literal 100 binary64) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (*.f64 (/.f64 i n) i) (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i))) (*.f64 i (*.f64 (/.f64 i n) i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 i n)) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i n)) (/.f64 (neg.f64 i) n) (*.f64 (*.f64 i i) #s(literal 1 binary64))) (*.f64 (*.f64 i i) (/.f64 (neg.f64 i) n))))
(exp.f64 (*.f64 (log.f64 (/.f64 i #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))) #s(literal -1 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (-.f64 (log.f64 i) (log.f64 n)))) i)
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
Calls

4 calls:

27.0ms
n
27.0ms
i
22.0ms
(*.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)))
20.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
79.0%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
79.0%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
87.0%5n
79.0%1i
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes38.0ms (0.3%)

Memory
-18.9MiB live, 34.1MiB allocated
Counts
98 → 5
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 i #s(literal 100 binary64)) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 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 #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 #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 (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/.f64 (fma.f64 i n #s(literal 0 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
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#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n)))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 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 (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) (/.f64 #s(literal 1 binary64) i)) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (*.f64 i i)) (*.f64 (/.f64 i n) i)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 n (*.f64 i i))) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 (fma.f64 i n n) (*.f64 i i))) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 n n))) i)) (/.f64 i 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 (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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)) n) i))
(*.f64 (*.f64 (/.f64 n i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(*.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)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) i)) i)
(/.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) (/.f64 #s(literal 1 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) (*.f64 i #s(literal 1/100 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 i (expm1.f64 i)) n)) (*.f64 i i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) n))
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)) n) i)
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (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) (*.f64 (*.f64 n n) n)) (/.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 (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.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) (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 n #s(literal 100 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)))
(fma.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) (exp.f64 i)) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 i i)) n (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 i #s(literal 100 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i i)) n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) n) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (*.f64 i i) (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i n)))) (*.f64 (*.f64 i i) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i n)) i (*.f64 (*.f64 i i) (neg.f64 n))) (*.f64 (*.f64 i i) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 #s(literal 100 binary64) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (*.f64 (/.f64 i n) i) (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i))) (*.f64 i (*.f64 (/.f64 i n) i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 i n)) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i n)) (/.f64 (neg.f64 i) n) (*.f64 (*.f64 i i) #s(literal 1 binary64))) (*.f64 (*.f64 i i) (/.f64 (neg.f64 i) n))))
(exp.f64 (*.f64 (log.f64 (/.f64 i #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))) #s(literal -1 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
Calls

1 calls:

33.0ms
n
Results
AccuracySegmentsBranch
87.0%5n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.2%)

Memory
-5.6MiB live, 33.5MiB allocated
Counts
96 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
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(fma.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) (exp.f64 i)) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 i i)) n (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 i #s(literal 100 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i i)) n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) n) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (*.f64 i i) (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i n)))) (*.f64 (*.f64 i i) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i n)) i (*.f64 (*.f64 i i) (neg.f64 n))) (*.f64 (*.f64 i i) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 #s(literal 100 binary64) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (*.f64 (/.f64 i n) i) (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i))) (*.f64 i (*.f64 (/.f64 i n) i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 i n)) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 i n)) (/.f64 (neg.f64 i) n) (*.f64 (*.f64 i i) #s(literal 1 binary64))) (*.f64 (*.f64 i i) (/.f64 (neg.f64 i) n))))
(exp.f64 (*.f64 (log.f64 (/.f64 i #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))) #s(literal -1 binary64)))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
Calls

1 calls:

25.0ms
n
Results
AccuracySegmentsBranch
83.7%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
58 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 i #s(literal 100 binary64)) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 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 #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 #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 (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/.f64 (fma.f64 i n #s(literal 0 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n)))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 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 (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) (/.f64 #s(literal 1 binary64) i)) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (*.f64 i i)) (*.f64 (/.f64 i n) i)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 n (*.f64 i i))) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 (fma.f64 i n n) (*.f64 i i))) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 n n))) i)) (/.f64 i 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 (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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)) n) i))
(*.f64 (*.f64 (/.f64 n i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(*.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)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) i)) i)
(/.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) (/.f64 #s(literal 1 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
Calls

1 calls:

15.0ms
n
Results
AccuracySegmentsBranch
83.7%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Counts
57 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 i #s(literal 100 binary64)) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 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 #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 #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 (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/.f64 (fma.f64 i n #s(literal 0 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n)))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 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 (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) (/.f64 #s(literal 1 binary64) i)) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (*.f64 i i)) (*.f64 (/.f64 i n) i)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 n (*.f64 i i))) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 (fma.f64 i n n) (*.f64 i i))) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 n n))) i)) (/.f64 i 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 (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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)) n) i))
(*.f64 (*.f64 (/.f64 n i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(*.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)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) i)) i)
(/.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) (/.f64 #s(literal 1 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n))
Calls

1 calls:

14.0ms
n
Results
AccuracySegmentsBranch
83.6%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes65.0ms (0.5%)

Memory
-28.1MiB live, 44.9MiB allocated
Counts
56 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 i #s(literal 100 binary64)) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 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 #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 #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 (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/.f64 (fma.f64 i n #s(literal 0 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n)))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 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 (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) (/.f64 #s(literal 1 binary64) i)) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (*.f64 i i)) (*.f64 (/.f64 i n) i)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 n (*.f64 i i))) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (*.f64 i i)) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 (fma.f64 i n n) (*.f64 i i))) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 i n) i)) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 n n))) i)) (/.f64 i 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 (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #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)) n) i))
(*.f64 (*.f64 (/.f64 n i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(*.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)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) i)) i)
(/.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) (/.f64 #s(literal 1 binary64) n))
Outputs
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 n (*.f64 i i))) (neg.f64 (/.f64 n i))))
#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)))))
(/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (*.f64 #s(literal 100 binary64) n)) i)
Calls

4 calls:

19.0ms
n
14.0ms
i
12.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
12.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
64.4%2(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
64.4%2(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
73.0%3i
72.2%4n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes11.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 i #s(literal 100 binary64)) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 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 #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 #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 (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/.f64 (fma.f64 i n #s(literal 0 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n)))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 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 (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) (/.f64 #s(literal 1 binary64) i)) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (*.f64 i i)) (*.f64 (/.f64 i n) i)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 n (*.f64 i i))) (neg.f64 (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 n (*.f64 i i))) (neg.f64 (/.f64 n i))))
#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)))))
Calls

1 calls:

9.0ms
i
Results
AccuracySegmentsBranch
71.2%2i
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 i #s(literal 100 binary64)) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 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 #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 #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 (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/.f64 (fma.f64 i n #s(literal 0 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)) (/.f64 #s(literal 100 binary64) i)) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n)))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 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 (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) (/.f64 #s(literal 1 binary64) i)) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (*.f64 i i)) (*.f64 (/.f64 i n) i)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) n))))
Outputs
#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) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #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

2 calls:

9.0ms
n
9.0ms
i
Results
AccuracySegmentsBranch
69.7%3n
67.4%2i
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 i #s(literal 100 binary64)) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 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 #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 #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 (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/.f64 (fma.f64 i n #s(literal 0 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (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)))
Outputs
#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)))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (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:

6.0ms
n
Results
AccuracySegmentsBranch
69.7%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
-36.1MiB live, 6.6MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 i #s(literal 100 binary64)) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 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 #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 #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 (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/.f64 (fma.f64 i n #s(literal 0 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) n)) i)
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (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:

11.0ms
n
Results
AccuracySegmentsBranch
69.7%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 i #s(literal 100 binary64)) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 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 #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 #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 (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i)) (/.f64 (fma.f64 i n #s(literal 0 binary64)) i)))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
Calls

2 calls:

4.0ms
n
4.0ms
i
Results
AccuracySegmentsBranch
66.3%2i
68.4%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 i #s(literal 100 binary64)) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
Outputs
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (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) (* i i)) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
Calls

1 calls:

3.0ms
n
Results
AccuracySegmentsBranch
68.4%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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))
Calls

2 calls:

2.0ms
i
2.0ms
n
Results
AccuracySegmentsBranch
64.1%2i
66.3%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
Outputs
#s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
Calls

4 calls:

2.0ms
n
2.0ms
i
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
63.6%3i
53.2%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
53.2%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
61.1%3n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes3.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
Calls

2 calls:

1.0ms
n
1.0ms
i
Results
AccuracySegmentsBranch
53.2%1n
57.9%2i
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
4.8MiB live, 4.8MiB 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))) (*.f64 #s(literal 100 binary64) n))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Calls

3 calls:

1.0ms
i
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
53.2%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
53.2%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
53.2%1i
Compiler

Compiled 35 to 20 computations (42.9% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
6.386821196245853e-257
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch72.0ms (0.5%)

Memory
-5.0MiB live, 33.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
7.917676894730253e-160
1.8886346289392285e-159
40.0ms
-2.479408896583718e-49
-7.422602697854127e-53
Samples
51.0ms202×1valid
2.0ms6×2valid
2.0ms30×0invalid
0.0ms2×1exit
Compiler

Compiled 475 to 301 computations (36.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-pow: 29.0ms (62.1% of total)
ival-div: 6.0ms (12.8% of total)
adjust: 4.0ms (8.6% of total)
ival-add: 2.0ms (4.3% of total)
ival-sub: 2.0ms (4.3% of total)
ival-mult: 2.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch196.0ms (1.4%)

Memory
-8.1MiB live, 152.5MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
52.0ms
4.645672083988957e-28
1.207370459534154e-22
30.0ms
4.6637214907871146e-73
1.2693210185218175e-72
46.0ms
3.6433540652817085e-282
1.0050261725639469e-271
56.0ms
-1.15701842048734e-114
-8.064586799071021e-126
Samples
73.0ms168×2valid
46.0ms261×1valid
16.0ms22×3valid
16.0ms286×0invalid
6.0ms93×0valid
Compiler

Compiled 836 to 556 computations (33.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-pow: 73.0ms (56.8% of total)
ival-div: 19.0ms (14.8% of total)
adjust: 13.0ms (10.1% of total)
ival-mult: 8.0ms (6.2% of total)
ival-add: 7.0ms (5.4% of total)
ival-sub: 7.0ms (5.4% of total)
ival-true: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.645672083988957e-28
1.207370459534154e-22
0.0ms
4.6637214907871146e-73
1.2693210185218175e-72
1.0ms
3.6433540652817085e-282
1.0050261725639469e-271
1.0ms
-1.15701842048734e-114
-8.064586799071021e-126
Compiler

Compiled 836 to 556 computations (33.5% saved)

bsearch44.0ms (0.3%)

Memory
10.8MiB live, 10.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
40.0ms
5.620852900730086e-216
2.620660051978887e-211
1.0ms
-1.15701842048734e-114
-8.064586799071021e-126
Samples
17.0ms50×2valid
6.0ms43×1valid
5.0ms7×3valid
4.0ms81×0invalid
2.0ms28×0valid
Compiler

Compiled 470 to 321 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-pow: 14.0ms (51.4% of total)
ival-div: 4.0ms (14.7% of total)
adjust: 3.0ms (11% of total)
ival-mult: 2.0ms (7.3% of total)
ival-sub: 2.0ms (7.3% of total)
ival-add: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

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
5.620852900730086e-216
2.620660051978887e-211
1.0ms
-1.15701842048734e-114
-8.064586799071021e-126
Compiler

Compiled 470 to 321 computations (31.7% 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
5.620852900730086e-216
2.620660051978887e-211
1.0ms
-1.15701842048734e-114
-8.064586799071021e-126
Compiler

Compiled 470 to 321 computations (31.7% saved)

bsearch102.0ms (0.7%)

Memory
-20.2MiB live, 18.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
58.0ms
7.447528402790936e-196
5.149572229809431e-191
38.0ms
-111120.23309107254
-0.28541042444055137
Samples
70.0ms252×1valid
9.0ms27×2valid
2.0ms40×0invalid
1.0ms9×0valid
1.0ms6×1exit
Compiler

Compiled 758 to 474 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-pow: 46.0ms (65.7% of total)
ival-div: 8.0ms (11.4% of total)
adjust: 6.0ms (8.6% of total)
ival-add: 3.0ms (4.3% of total)
ival-sub: 3.0ms (4.3% of total)
ival-mult: 3.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-111120.23309107254
-0.28541042444055137
Compiler

Compiled 362 to 222 computations (38.7% saved)

bsearch46.0ms (0.3%)

Memory
11.5MiB live, 11.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.620852900730086e-216
2.620660051978887e-211
42.0ms
-1.15701842048734e-114
-8.064586799071021e-126
Samples
17.0ms48×2valid
13.0ms79×1valid
4.0ms73×0invalid
1.0ms17×0valid
Compiler

Compiled 580 to 395 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-pow: 14.0ms (50.4% of total)
ival-div: 5.0ms (18% of total)
adjust: 3.0ms (10.8% of total)
ival-add: 2.0ms (7.2% of total)
ival-mult: 2.0ms (7.2% of total)
ival-sub: 2.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.620852900730086e-216
2.620660051978887e-211
1.0ms
-1.15701842048734e-114
-8.064586799071021e-126
Compiler

Compiled 472 to 323 computations (31.6% 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
5.620852900730086e-216
2.620660051978887e-211
1.0ms
-1.15701842048734e-114
-8.064586799071021e-126
Compiler

Compiled 452 to 303 computations (33% 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
5.620852900730086e-216
2.620660051978887e-211
1.0ms
-1.15701842048734e-114
-8.064586799071021e-126
Compiler

Compiled 418 to 287 computations (31.3% 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
5.620852900730086e-216
2.620660051978887e-211
1.0ms
-1.15701842048734e-114
-8.064586799071021e-126
Compiler

Compiled 398 to 267 computations (32.9% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.620852900730086e-216
2.620660051978887e-211
1.0ms
-1.15701842048734e-114
-8.064586799071021e-126
Compiler

Compiled 344 to 231 computations (32.8% saved)

bsearch58.0ms (0.4%)

Memory
-25.2MiB live, 14.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
4.926176053688226e+45
1.886241873589957e+46
35.0ms
-5.444781384660141e+91
-1.3407903996022084e+81
Samples
36.0ms170×1valid
5.0ms70×0valid
3.0ms54×0invalid
Compiler

Compiled 250 to 170 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-pow: 17.0ms (47.9% of total)
ival-div: 8.0ms (22.5% of total)
adjust: 3.0ms (8.4% of total)
ival-add: 2.0ms (5.6% of total)
ival-sub: 2.0ms (5.6% of total)
ival-mult: 2.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
4.926176053688226e+45
1.886241873589957e+46
Compiler

Compiled 110 to 70 computations (36.4% saved)

simplify20.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
1×egg-herbie
Rules
84×*-commutative_binary64
38×neg-mul-1_binary64
36×unsub-neg_binary64
28×+-commutative_binary64
22×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02321747
12831747
23021747
33201747
43511747
53951747
63961747
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 0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (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)) (fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))))
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(if (<=.f64 n #s(literal -781199283221165/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) #s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) (if (<=.f64 n #s(literal 8593745525161113/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n))) (if (<=.f64 n #s(literal 655084390206837/1393796574908163946345982392040522594123776 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))))))
(if (<=.f64 n #s(literal -781199283221165/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -781199283221165/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))))
(if (<=.f64 n #s(literal -781199283221165/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n))))
(if (<=.f64 i #s(literal -3152519739159347/1125899906842624 binary64)) (*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 n (*.f64 i i))) (neg.f64 (/.f64 n i)))) (if (<=.f64 i #s(literal 5786149491703211/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 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))))) (/.f64 (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (*.f64 #s(literal 100 binary64) n)) i)))
(if (<=.f64 i #s(literal -3152519739159347/1125899906842624 binary64)) (*.f64 #s(literal 100 binary64) (fma.f64 i #s(approx (/ (pow (+ 1 (/ i n)) n) (* (/ i n) i)) (/.f64 n (*.f64 i i))) (neg.f64 (/.f64 n i)))) #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))))))
(if (<=.f64 n #s(literal -8576696946688161/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #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))) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))))
(if (<=.f64 n #s(literal -8576696946688161/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #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))) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) #s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))))
(if (<=.f64 n #s(literal -8576696946688161/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) #s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))))
(if (<=.f64 n #s(literal -8576696946688161/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 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(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) #s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) #s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))))
(if (<=.f64 n #s(literal -8576696946688161/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n))) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) #s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) #s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))))
(if (<=.f64 n #s(literal -8576696946688161/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) #s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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))))
(if (<=.f64 i #s(literal -2000000000000000115533219796231793404874534254192128274196083726469424668033849229312 binary64)) #s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) (if (<=.f64 i #s(literal 4999999999999999965699095179735106473829597184 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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))))
(if (<=.f64 i #s(literal 4999999999999999965699095179735106473829597184 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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Outputs
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(if (<=.f64 n #s(literal -8576696946688161/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #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))) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 100 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))))
(if (<=.f64 n #s(literal -8576696946688161/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #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))) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) #s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))))
(if (<=.f64 n #s(literal -8576696946688161/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) #s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))))
(if (<=.f64 n #s(literal -8576696946688161/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 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(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) #s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) #s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))))
(if (<=.f64 n #s(literal -8576696946688161/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n))) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) #s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) #s(approx (/ (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) i) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))))
(if (<=.f64 n #s(literal -8576696946688161/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) #s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i 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))))
(if (<=.f64 i #s(literal -2000000000000000115533219796231793404874534254192128274196083726469424668033849229312 binary64)) #s(approx (* 100 (+ (* (/ (* (pow (+ (/ i n) 1) n) i) (* i i)) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) (if (<=.f64 i #s(literal 4999999999999999965699095179735106473829597184 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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))))
(if (<=.f64 i #s(literal 4999999999999999965699095179735106473829597184 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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))

soundness1.4s (10.3%)

Memory
17.7MiB live, 59.7MiB allocated
Rules
11 188×lower-fma.f64
11 188×lower-fma.f32
11 090×lower-fma.f64
11 090×lower-fma.f32
10 530×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097013932
1317312921
0885411895
05153831
116243489
255113268
081232980
089913394
1288112383
0833711256
056381
081381
1357365
22894355
08913329
01044
01644
17344
257044
3735444
0866938
0100016198
1319714920
0814513756
044319
078285
1328285
22430271
08548271
052335
087335
1370329
22823317
08506297
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
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×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
Compiler

Compiled 2 190 to 977 computations (55.4% saved)

preprocess100.0ms (0.7%)

Memory
-29.4MiB live, 86.0MiB allocated
Compiler

Compiled 1 560 to 360 computations (76.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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