Compound Interest

Time bar (total: 13.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze153.0ms (1.2%)

Memory
5.2MiB live, 407.0MiB 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)

sample4.0s (30.5%)

Memory
61.0MiB live, 4 612.9MiB allocated
Samples
2.2s4 505×1valid
860.0ms1 613×2valid
193.0ms2 081×0valid
184.0ms2 090×0invalid
48.0ms57×3valid
3.0ms31×1exit
Precisions
Click to see histograms. Total time spent on operations: 2.9s
ival-pow: 2.0s (68.2% of total)
ival-div: 377.0ms (12.9% of total)
adjust: 160.0ms (5.5% of total)
ival-mult: 144.0ms (4.9% of total)
ival-sub: 133.0ms (4.5% of total)
ival-add: 96.0ms (3.3% of total)
exact: 10.0ms (0.3% of total)
ival-true: 8.0ms (0.3% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

explain288.0ms (2.2%)

Memory
0.8MiB live, 442.1MiB 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
102.0ms306×1valid
63.0ms132×2valid
12.0ms74×0valid
Compiler

Compiled 133 to 34 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-pow: 82.0ms (54.7% of total)
ival-div: 29.0ms (19.4% of total)
ival-sub: 14.0ms (9.3% of total)
adjust: 11.0ms (7.3% of total)
ival-mult: 6.0ms (4% of total)
ival-add: 5.0ms (3.3% of total)
ival-true: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess176.0ms (1.4%)

Memory
22.6MiB live, 98.1MiB 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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)

simplify130.0ms (1%)

Memory
-22.0MiB live, 50.3MiB 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

localize119.0ms (0.9%)

Memory
11.8MiB live, 162.0MiB 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
52.0ms66×2valid
50.0ms153×1valid
3.0ms37×0valid
Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-pow: 51.0ms (55.1% of total)
ival-add: 15.0ms (16.2% of total)
ival-div: 11.0ms (11.9% of total)
adjust: 6.0ms (6.5% of total)
ival-mult: 6.0ms (6.5% of total)
ival-sub: 3.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
-4.7MiB live, 33.5MiB 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 (/ (* 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>) () ())) ())
#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)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) (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 (neg (/ 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 (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) (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 (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i)) (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 (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i)) (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 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) (taylor 0 n) (#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 (* (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)))) (taylor 0 n) (#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 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) (taylor 0 n) (#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

24 calls:

TimeVariablePointExpression
3.0ms
n
@0
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
2.0ms
i
@inf
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
2.0ms
i
@-inf
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
2.0ms
n
@inf
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
1.0ms
i
@0
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))

simplify171.0ms (1.3%)

Memory
39.5MiB live, 192.2MiB 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
255233268
081372980
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
Calls
Call 1
Inputs
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
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i
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(- (exp i) 1)
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1
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(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
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1
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(exp i)
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(exp i)
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Outputs
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
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(fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) (*.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) i) (fma.f64 n n (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (+.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) i))) (/.f64 (*.f64 n n) i))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n))) (/.f64 (*.f64 n n) i) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n))) (fma.f64 n n (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n))) (*.f64 n n) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n))) (+.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) (neg.f64 i)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))))) i)) i))
1
#s(literal 1 binary64)
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(fma.f64 (-.f64 (log.f64 i) (log.f64 n)) n #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n (-.f64 (log.f64 i) (log.f64 n))) n #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) n (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))) n (-.f64 (log.f64 i) (log.f64 n))) n #s(literal 1 binary64))
(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)))
(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))

rewrite347.0ms (2.7%)

Memory
-55.7MiB live, 208.0MiB 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)))
(*.f64 (/.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 (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 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (neg.f64 i)) (/.f64 (/.f64 #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) 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))

eval76.0ms (0.6%)

Memory
18.1MiB live, 130.2MiB allocated
Compiler

Compiled 18 586 to 2 017 computations (89.1% saved)

prune155.0ms (1.2%)

Memory
8.4MiB live, 244.1MiB 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)))
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))
79.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n))
10.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
▶53.2%
#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)

simplify200.0ms (1.5%)

Memory
-10.8MiB live, 169.2MiB 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)

localize418.0ms (3.2%)

Memory
5.0MiB live, 494.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy12.563301942953755
(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)
accuracy12.563301942953755
(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
175.0ms139×1valid
141.0ms78×2valid
10.0ms30×0valid
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: 280.0ms
ival-pow: 146.0ms (52.1% of total)
ival-mult: 37.0ms (13.2% of total)
adjust: 26.0ms (9.3% of total)
ival-div: 26.0ms (9.3% of total)
ival-sub: 12.0ms (4.3% of total)
ival-add: 11.0ms (3.9% of total)
const: 10.0ms (3.6% of total)
ival-log1p: 9.0ms (3.2% of total)
ival-expm1: 3.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series63.0ms (0.5%)

Memory
-7.3MiB live, 55.4MiB 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 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) (taylor inf 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 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) (taylor inf 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 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) (taylor inf 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 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) (taylor inf 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 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) (taylor -inf 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 (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1) (taylor -inf 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 (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1) (taylor -inf 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 (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1) (taylor -inf 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 (+ (log i) (* -1 (log n)))) (taylor 0 n) (#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))) (taylor 0 n) (#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt (* 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))))))) (taylor 0 n) (#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt (* 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))))))) (taylor 0 n) (#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt (- (exp i) 1) (taylor inf n) (#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) (taylor inf n) (#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1) (taylor inf n) (#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (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) (taylor inf n) (#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt (- (exp i) 1) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (patch (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #<representation binary64>) () ())) ())
#s(alt 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>) () ())) ())
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#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>) () ())) ())
#s(alt 1 (taylor 0 i) (#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 (* i (- 1/2 (* 1/2 (/ 1 n))))) (taylor 0 i) (#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 (* 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 (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 (* 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 (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 (* (pow i 2) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (taylor inf i) (#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 (* (pow i 2) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* 1/2 (/ 1 i)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n))))) (taylor inf i) (#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 (* (pow i 2) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2))))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n))))) (taylor inf i) (#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 (* (pow i 2) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2))))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n))))) (taylor inf i) (#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 (* (pow i 2) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (taylor -inf i) (#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 (* (pow i 2) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* 1/2 (/ 1 i)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n))))) (taylor -inf i) (#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 (* (pow i 2) (- (+ 1/6 (+ (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i)) i)) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))) (taylor -inf i) (#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 (* (pow i 2) (- (+ 1/6 (+ (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i)) i)) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))) (taylor -inf i) (#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

117 calls:

TimeVariablePointExpression
16.0ms
i
@inf
(+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1)
3.0ms
i
@0
(+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))
1.0ms
i
@inf
(+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))
1.0ms
i
@-inf
(/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i))
1.0ms
n
@0
(/ (- (* (pow (+ (/ i n) 1) n) i) (* (/ i n) n)) (* (/ i n) i))

simplify221.0ms (1.7%)

Memory
30.9MiB live, 340.3MiB 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
0100016188
1319714920
0813313756
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))))))
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1)
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)
(* n (+ (log i) (* -1 (log n))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)
(- (exp i) 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)
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))
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(* -1 (* i (+ 1 (+ (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) i)) (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))))))
(* i (* n (+ (log i) (* -1 (log n)))))
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(* n (+ (* i (+ (log i) (* -1 (log n)))) (* n (+ (* i (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) (* n (+ (* i (* 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)))))))) (* i (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))))))))))
(- (* i (exp i)) i)
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(/ i n)
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1
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(* (pow i 2) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2))))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n)))))
(* (pow i 2) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2))))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n)))))
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Outputs
i
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n
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(- (* i (exp i)) i)
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(- (* i (exp i)) i)
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(- (+ (* -1/2 (/ (* (pow i 3) (exp i)) n)) (* i (exp i))) i)
(fma.f64 (*.f64 (*.f64 (*.f64 i i) i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (*.f64 i (expm1.f64 i)))
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(- (+ (* -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)
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(/ i n)
(/.f64 i n)
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))
(*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
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(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
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(+ (log (/ 1 n)) (* -1 (log (/ 1 i))))
(-.f64 (log.f64 i) (log.f64 n))
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (/ n i)))
(+.f64 (-.f64 (/.f64 n i) (log.f64 n)) (log.f64 i))
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i))))
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(+ (log i) (* -1 (log n)))
(-.f64 (log.f64 i) (log.f64 n))
(+ (log i) (+ (* -1 (log n)) (/ n i)))
(+.f64 (-.f64 (/.f64 n i) (log.f64 n)) (log.f64 i))
(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))
(fma.f64 (fma.f64 (/.f64 n (*.f64 i i)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n (-.f64 (log.f64 i) (log.f64 n)))
(+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 n (*.f64 (*.f64 i i) i)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) n (/.f64 #s(literal 1 binary64) i)) n (-.f64 (log.f64 i) (log.f64 n)))
(/ i n)
(/.f64 i n)
(/ (+ i (* -1/2 (/ (pow i 2) n))) n)
(/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 i i) i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i)) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)
(/.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 n n) n)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 i i) i) (*.f64 n n)) #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))) i) n)
(/ i n)
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(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64)) i) (neg.f64 n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 i i) i) n) #s(literal 1/3 binary64) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n) i)) (neg.f64 n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
(/.f64 (-.f64 (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))
(* 1/3 (/ (pow i 2) (pow n 2)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 n n))
(/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) (pow n 2))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n))
(/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) (pow n 2))
(/.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))
(/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) (pow n 2))
(/.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))
(+ 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 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))
(fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #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 (+ (* -1 (/ (* i (+ 1/2 (* 1/2 i))) n)) (* i (+ 1/2 (* 1/6 i)))))
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(+ 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))
1
#s(literal 1 binary64)
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))
(fma.f64 (fma.f64 (-.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))
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))
(fma.f64 (fma.f64 (-.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))
(* (pow i 2) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))
(*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))
(* (pow i 2) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* 1/2 (/ 1 i)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n)))))
(*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n i)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 i i))
(* (pow i 2) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2))))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n)))))
(*.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n i)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 i i))
(* (pow i 2) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2))))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n)))))
(*.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n i)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 i i))
(* (pow i 2) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))
(*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))
(* (pow i 2) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* 1/2 (/ 1 i)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n)))))
(*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n i)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 i i))
(* (pow i 2) (- (+ 1/6 (+ (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i)) i)) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))
(*.f64 (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) i)) i)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i))
(* (pow i 2) (- (+ 1/6 (+ (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i)) i)) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))
(*.f64 (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) i)) i)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i))

rewrite344.0ms (2.6%)

Memory
7.6MiB live, 202.1MiB 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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i) n)
(*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 i #s(literal 1 binary64))) (/.f64 n i)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 i #s(literal 1 binary64)))) #s(literal -1 binary64)))
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(*.f64 (/.f64 n i) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))
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(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 n i))
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(*.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) (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)))))
(pow.f64 (/.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))) #s(literal -1 binary64))
(pow.f64 (/.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 (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))) #s(literal -1 binary64))
(/.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))))
(/.f64 #s(literal 1 binary64) (/.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 (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) #s(literal 1 binary64) #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))) (*.f64 i #s(literal 1 binary64)) #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))
(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))

eval183.0ms (1.4%)

Memory
-23.1MiB live, 262.6MiB allocated
Compiler

Compiled 43 143 to 3 454 computations (92% saved)

prune339.0ms (2.6%)

Memory
1.6MiB live, 275.1MiB 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)
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)
▶53.2%
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) 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 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) 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)

simplify212.0ms (1.6%)

Memory
24.7MiB live, 138.9MiB 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 #s(literal 100 binary64) (*.f64 n i))
cost-diff0
#s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i)))
cost-diff0
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) i)
cost-diff0
(/.f64 (expm1.f64 i) i)
cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
cost-diff0
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n))
Rules
20 176×lower-fma.f32
20 170×lower-fma.f64
4 506×lower-*.f32
4 484×lower-*.f64
3 972×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052409
087409
1173403
2400399
31226385
43982377
08957356
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 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
#s(literal 100 binary64)
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
n
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) i)
#s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i)))
(*.f64 #s(literal 100 binary64) (*.f64 n i))
#s(literal 100 binary64)
(*.f64 n i)
n
i
#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 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
#s(literal 100 binary64)
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
n
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n 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 #s(literal 100 binary64) (*.f64 n i)))
#s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 n i))
(*.f64 (*.f64 n i) #s(literal 100 binary64))
#s(literal 100 binary64)
(*.f64 n i)
n
i
#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 #s(literal 50 binary64) 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 #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)

localize391.0ms (3%)

Memory
-31.0MiB live, 380.4MiB 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 #s(literal 100 binary64) (*.f64 n i))
accuracy5.601509549520425
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) i)
accuracy24.205825775804865
#s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i)))
accuracy0.01171875
(/.f64 (expm1.f64 i) i)
accuracy0.0546875
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)
accuracy0.07421875
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
accuracy13.368948337775482
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n))
Samples
228.0ms150×1valid
78.0ms66×2valid
12.0ms37×0valid
4.0ms3×5exit
Compiler

Compiled 367 to 46 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 233.0ms
ival-pow: 88.0ms (37.7% of total)
ival-sub: 41.0ms (17.6% of total)
ival-mult: 32.0ms (13.7% of total)
ival-div: 24.0ms (10.3% of total)
adjust: 22.0ms (9.4% of total)
ival-add: 12.0ms (5.1% of total)
const: 9.0ms (3.9% of total)
ival-expm1: 2.0ms (0.9% of total)
ival-neg: 2.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series57.0ms (0.4%)

Memory
12.0MiB live, 88.9MiB allocated
Counts
23 → 492
Calls
Call 1
Inputs
#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n) (patch (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) #<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 #s(literal 100 binary64) (*.f64 n i))) i) (patch (/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) i) #<representation binary64>) () ())
#s(alt #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) (patch #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (*.f64 n i)) (patch (*.f64 #s(literal 100 binary64) (*.f64 n i)) #<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 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) 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 #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) 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 #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) (taylor inf i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) (taylor inf i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) (taylor inf i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) (taylor inf i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) (taylor -inf i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) (taylor -inf i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i)) (taylor -inf i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) (taylor -inf i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)) #<representation binary64>) () ())) ())
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Calls

123 calls:

TimeVariablePointExpression
5.0ms
n
@inf
(* 100 (* n i))
3.0ms
i
@inf
(+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))
2.0ms
i
@0
(* (* 100 (/ (- (exp i) 1) i)) n)
1.0ms
i
@inf
(* (* 100 (/ (- (exp i) 1) i)) n)
1.0ms
n
@0
(* (* 100 (/ (- (exp i) 1) i)) n)

simplify258.0ms (2%)

Memory
-4.9MiB live, 286.7MiB 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
0884911895
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 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i)) (* 100 (- (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 n)))) i))
(* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i))))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i)))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(* 100 (* n (- (/ (exp i) i) (/ 1 i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (- (/ (exp i) i) (/ 1 i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))))
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
1
(+ 1 i)
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
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))))))))
(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)))))
(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)
(+ (* 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 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
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(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
(* 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)))))))))))
(* 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))
(* -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))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 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)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (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))
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(-.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)
(*.f64 n #s(literal 100 binary64))
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) n n))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 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 (-.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) 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 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n) i) #s(literal 100 binary64))
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (exp.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (*.f64 (*.f64 n n) n)) i))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 i i)) (/.f64 (*.f64 (exp.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (*.f64 (*.f64 n n) n)) i)))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (exp.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (+.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) i))))) (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (exp.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (*.f64 (*.f64 n n) n)) i)))) i)
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) 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))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (*.f64 n n) n) (/.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) i) (*.f64 (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) n))) i)
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
(/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n))) n (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) n) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i) (*.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) (*.f64 (*.f64 n n) n)))) i)) (neg.f64 i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
(/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n))) n (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n))) (*.f64 (*.f64 n n) n) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -100 binary64) n) (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)))) (neg.f64 i))) (neg.f64 i))) (neg.f64 i))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 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))))
(*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (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)))
(* (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))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) n (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 (-.f64 (log.f64 i) (log.f64 n)) i) #s(literal 100 binary64))) (*.f64 n n))
(* (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)))))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (*.f64 i i) i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (*.f64 i i)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))) (/.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 4 binary64)))))) n (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) i))))) n (*.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))) #s(literal 100 binary64))) n (*.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) #s(literal 100 binary64))) (*.f64 n n))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n)
(* 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)))))
(*.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (/.f64 (exp.f64 i) n) (*.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 (*.f64 n n) i)) (/.f64 (expm1.f64 i) i)))) n)
(* 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))))))
(*.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (/.f64 (exp.f64 i) n) (*.f64 #s(literal 100 binary64) (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 (*.f64 n n) 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))) (*.f64 (*.f64 n n) i))) (/.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 (neg.f64 n) (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.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))))
(* -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 (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))))
(/ 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))
(/ 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))
(/ 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)
(/ (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)
(/ (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)
(/ (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)
(/ (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)
(/ (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)

rewrite280.0ms (2.1%)

Memory
-7.1MiB live, 225.4MiB allocated
Rules
5 044×lower-/.f32
5 028×lower-/.f64
4 356×lower-*.f32
4 334×lower-*.f64
3 740×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052335
087335
1370329
22823317
08513297
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 559
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(/.f64 (expm1.f64 i) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) i)
#s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i)))
(*.f64 #s(literal 100 binary64) (*.f64 n i))
(*.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 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))
(*.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 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 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 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 #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 #s(literal 100 binary64) i) 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 n (*.f64 #s(literal 100 binary64) i))
(*.f64 i (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 n i))
(*.f64 n i)
(*.f64 i n)
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eval194.0ms (1.5%)

Memory
10.3MiB live, 207.2MiB allocated
Compiler

Compiled 35 619 to 3 050 computations (91.4% saved)

prune302.0ms (2.3%)

Memory
1.4MiB live, 244.3MiB allocated
Pruning

50 alts after pruning (45 fresh and 5 done)

PrunedKeptTotal
New1 086281 114
Fresh181735
Picked325
Done033
Total1 107501 157
Accuracy
100.0%
Counts
1 157 → 50
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 #s(literal 100 binary64) i) (*.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)
53.5%
(/.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 #s(literal 100 binary64) i) n)) i)
✓53.2%
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) 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))))
▶78.9%
(*.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) 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)))
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 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
79.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) 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)))
78.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))) n))
60.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) #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))
61.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
▶58.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (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 (* (* 100 (/ (- (exp i) 1) i)) 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 1 591 to 981 computations (38.3% saved)

simplify140.0ms (1.1%)

Memory
-13.4MiB live, 103.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (neg.f64 i) n)
cost-diff128
(*.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)))
cost-diff1024
(fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i))
cost-diff1024
(/.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))
cost-diff0
#s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i))
cost-diff0
(*.f64 n #s(literal 100 binary64))
cost-diff0
(*.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
cost-diff320
(*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
cost-diff0
#s(approx (* (* 100 (/ (- (exp i) 1) i)) 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))))
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) 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)))))
cost-diff320
(fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n))
cost-diff320
(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)))
cost-diff0
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
cost-diff0
#s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
cost-diff0
(*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (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 (* 100 (/ (- (exp i) 1) i)) (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
5 976×lower-fma.f32
5 966×lower-fma.f64
3 048×lower--.f64
3 048×lower--.f32
3 046×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052381
084381
1156373
2323364
3710358
41485350
54260350
66417350
08282339
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 (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (exp i) 1) i)) (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
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) 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 (/ (- (exp i) 1) i)) 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))))
(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)))
(fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))
n
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))
#s(literal 25/6 binary64)
i
#s(literal 50/3 binary64)
(*.f64 #s(literal 50 binary64) n)
#s(literal 50 binary64)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
(*.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
(*.f64 n #s(literal 100 binary64))
n
#s(literal 100 binary64)
(*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i))
(expm1.f64 i)
i
(/.f64 #s(literal 1 binary64) i)
#s(literal 1 binary64)
(*.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)))
#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))
(fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i))
(/.f64 (neg.f64 i) n)
(neg.f64 i)
i
n
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) 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)
(*.f64 (/.f64 i 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)))
(*.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 (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (exp i) 1) i)) (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
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) 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 (* (* 100 (/ (- (exp i) 1) i)) n) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)) n)))
#s(approx (* (* 100 (/ (- (exp i) 1) i)) 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 (/ (- (exp i) 1) i)) n) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)) 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 (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)
(fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n))
(*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) n)
(*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))
(*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) n)
n
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))
#s(literal 25/6 binary64)
i
#s(literal 50/3 binary64)
(*.f64 #s(literal 50 binary64) n)
#s(literal 50 binary64)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
(*.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
(*.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) n) #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)))
(*.f64 n #s(literal 100 binary64))
n
#s(literal 100 binary64)
(*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(/.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) i)
#s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i))
(expm1.f64 i)
i
(/.f64 #s(literal 1 binary64) i)
#s(literal 1 binary64)
(*.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 (/.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 (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 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 n i))
(fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i (neg.f64 i))
(/.f64 (neg.f64 i) n)
(neg.f64 i)
i
n
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) 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)
(*.f64 (/.f64 i n) i)

localize291.0ms (2.2%)

Memory
27.4MiB live, 387.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(*.f64 (/.f64 i n) i)
accuracy13.047665930686135
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy25.98380580037368
(/.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))
accuracy44.04638546732862
(fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i))
accuracy0
(expm1.f64 i)
accuracy0.10384750976844202
(*.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
accuracy0.150722509768442
(*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
accuracy16.283531172187356
#s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i))
accuracy0.20703125
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))
accuracy0.38671875
(*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))
accuracy13.368948337775482
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) 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)))))
accuracy16.513729307690788
#s(approx (* (* 100 (/ (- (exp i) 1) i)) 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))))
accuracy0
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
accuracy0.05859375
(*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (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 (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
accuracy24.707427331106384
#s(approx (* 100 (/ (- (exp i) 1) i)) (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
119.0ms141×1valid
101.0ms79×2valid
14.0ms36×0valid
Compiler

Compiled 325 to 46 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 190.0ms
ival-pow: 81.0ms (42.6% of total)
ival-mult: 38.0ms (20% of total)
adjust: 21.0ms (11% of total)
ival-div: 18.0ms (9.5% of total)
ival-add: 15.0ms (7.9% of total)
const: 9.0ms (4.7% of total)
ival-sub: 5.0ms (2.6% of total)
ival-expm1: 2.0ms (1.1% of total)
ival-neg: 2.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series50.0ms (0.4%)

Memory
-20.3MiB live, 67.7MiB allocated
Counts
25 → 528
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 (* 100 (/ (- (exp i) 1) i)) (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 (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n) (patch (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n) #<representation binary64>) () ())
#s(alt #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) (patch #s(approx (* 100 (/ (- (exp i) 1) i)) (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 (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) (patch (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) #<representation binary64>) () ())
#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) 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))))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) 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))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* 100 (/ (- (exp i) 1) i)) 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)))) (patch #s(approx (* (* 100 (/ (- (exp i) 1) i)) 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)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)) (patch (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))) (patch (*.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))) #<representation binary64>) () ())
#s(alt (*.f64 n #s(literal 100 binary64)) (patch (*.f64 n #s(literal 100 binary64)) #<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 (/.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)) (patch (/.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)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (patch (fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) #<representation binary64>) () ())
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 i) n) (patch (/.f64 (neg.f64 i) n) #<representation binary64>) () ())
#s(alt (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (patch (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (patch (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) #<representation binary64>) () ())
#s(alt (expm1.f64 i) (patch (expm1.f64 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 (*.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) 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 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) (taylor inf 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 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) (taylor inf 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 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) (taylor inf 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 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) (taylor inf 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 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) (taylor -inf 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 (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) (taylor -inf 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>) () ())) ())
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#s(alt (* i (+ (* 25/6 n) (* 50/3 (/ n i)))) (taylor inf i) (#s(alt (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (patch (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 25/6 (* i n)) (taylor -inf i) (#s(alt (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (patch (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n)))) (taylor -inf i) (#s(alt (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (patch (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n)))) (taylor -inf i) (#s(alt (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (patch (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n)))) (taylor -inf i) (#s(alt (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (patch (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) #<representation binary64>) () ())) ())
#s(alt 50/3 (taylor 0 i) (#s(alt (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (patch (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 50/3 (* 25/6 i)) (taylor 0 i) (#s(alt (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (patch (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 50/3 (* 25/6 i)) (taylor 0 i) (#s(alt (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (patch (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 50/3 (* 25/6 i)) (taylor 0 i) (#s(alt (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (patch (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 25/6 i) (taylor inf i) (#s(alt (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (patch (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* i (+ 25/6 (* 50/3 (/ 1 i)))) (taylor inf i) (#s(alt (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (patch (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* i (+ 25/6 (* 50/3 (/ 1 i)))) (taylor inf i) (#s(alt (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (patch (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* i (+ 25/6 (* 50/3 (/ 1 i)))) (taylor inf i) (#s(alt (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (patch (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 25/6 i) (taylor -inf i) (#s(alt (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (patch (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* i (+ 25/6 (* 50/3 (/ 1 i)))) (taylor -inf i) (#s(alt (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (patch (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) #<representation binary64>) () ())) ())
#s(alt i (taylor 0 i) (#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1 (* 1/2 i))) (taylor 0 i) (#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())) ())
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#s(alt (- (exp i) 1) (taylor inf i) (#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())) ())
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#s(alt (- (exp i) 1) (taylor -inf i) (#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())) ())
#s(alt (- (exp i) 1) (taylor -inf i) (#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())) ())
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#s(alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) (taylor -inf 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>) () ())) ())
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#s(alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) (taylor 0 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 (+ 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)))))))) (taylor 0 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>) () ())) ())
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#s(alt (+ (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))))) (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>) () ())) ())
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#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 (/ (pow i 2) n) (taylor 0 i) (#s(alt (*.f64 (/.f64 i n) i) (patch (*.f64 (/.f64 i n) i) #<representation binary64>) () ())) ())
#s(alt (/ (pow i 2) n) (taylor 0 i) (#s(alt (*.f64 (/.f64 i n) i) (patch (*.f64 (/.f64 i n) i) #<representation binary64>) () ())) ())
#s(alt (/ (pow i 2) n) (taylor 0 i) (#s(alt (*.f64 (/.f64 i n) i) (patch (*.f64 (/.f64 i n) i) #<representation binary64>) () ())) ())
#s(alt (/ (pow i 2) n) (taylor 0 i) (#s(alt (*.f64 (/.f64 i n) i) (patch (*.f64 (/.f64 i n) i) #<representation binary64>) () ())) ())
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#s(alt (/ (pow i 2) n) (taylor inf i) (#s(alt (*.f64 (/.f64 i n) i) (patch (*.f64 (/.f64 i n) i) #<representation binary64>) () ())) ())
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#s(alt (/ (pow i 2) n) (taylor -inf i) (#s(alt (*.f64 (/.f64 i n) i) (patch (*.f64 (/.f64 i n) i) #<representation binary64>) () ())) ())
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#s(alt (/ (pow i 2) n) (taylor 0 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>) () ())) ())
#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>) () ())) ())
#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

132 calls:

TimeVariablePointExpression
1.0ms
n
@0
(+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100))
1.0ms
n
@inf
(+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100))
1.0ms
n
@-inf
(+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100))
0.0ms
i
@-inf
(+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100))
0.0ms
i
@-inf
(* (- (pow (+ (/ i n) 1) n) 1) (/ 1 i))

simplify196.0ms (1.5%)

Memory
-6.6MiB live, 225.3MiB allocated
Algorithm
1×egg-herbie
Rules
11 772×lower-fma.f64
11 772×lower-fma.f32
7 250×lower-*.f64
7 250×lower-*.f32
6 040×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083812507
1275611528
0846910408
Stop Event
1×iter limit
1×node limit
Counts
528 → 524
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 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
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(* -1 (* i (+ 1 (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))
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(* -1 (* i (+ 1 (+ (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (* -1 (/ (+ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i)) i))))))
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(* 100 n)
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(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
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(* n (+ (* 100 (/ (+ i (* -1 i)) (pow i 2))) (* n (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))))
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(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (+ (* -1 i) (* i (exp i))) (pow i 2))))))
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(* -1 (* n (+ (* -100 (/ (+ (* -1 i) (* i (exp i))) (pow i 2))) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (+ (* -1 i) (* i (exp 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 (/ (+ (* -1 i) (* i (exp 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)))))
(* -1 (/ i n))
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50/3
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(* 25/6 i)
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(* 25/6 i)
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(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
i
(* i (+ 1 (* 1/2 i)))
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(- (exp i) 1)
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(- (exp i) 1)
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(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
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1
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(exp i)
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(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+ (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)))))
(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)))
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
(/ (pow i 2) n)
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(/ (pow i 2) n)
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(/ (pow i 2) n)
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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))
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(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 (-.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) 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 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n) i) #s(literal 100 binary64))
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
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(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
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(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) n (*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 (exp.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (+.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) i)))) (/.f64 (*.f64 (exp.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (*.f64 (*.f64 n n) n)) i)))) i)
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) 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))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
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(fma.f64 (exp.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 i i)) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) i) (exp.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(fma.f64 (exp.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (+.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) i))) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) i) (exp.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) i) (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) (fma.f64 n n (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))) i))) i) (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
(-.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) (/.f64 (neg.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) n) n (/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)) (*.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 n n) n))))) i))) i))
1
#s(literal 1 binary64)
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(fma.f64 (-.f64 (log.f64 i) (log.f64 n)) n #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n (-.f64 (log.f64 i) (log.f64 n))) n #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) n (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))) n (-.f64 (log.f64 i) (log.f64 n))) n #s(literal 1 binary64))
(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 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) #s(literal 1/3 binary64))) (*.f64 n n)) (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 (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))) (fma.f64 (*.f64 i (/.f64 (*.f64 (exp.f64 i) i) n)) #s(literal -1/2 binary64) (exp.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 (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))
(/ (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)
(/ (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)
(/ (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)
(/ (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)
(/ (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)
(/ (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)

rewrite180.0ms (1.4%)

Memory
23.8MiB live, 265.4MiB allocated
Rules
5 522×lower-*.f32
5 500×lower-*.f64
5 058×lower-/.f32
5 048×lower-/.f64
3 780×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052330
084326
1321322
22193319
08898300
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 636
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 (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
(*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(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)))
(fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) 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 (/ (- (exp i) 1) i)) 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 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
(*.f64 n #s(literal 100 binary64))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i))
(/.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))
(fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) 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 (neg.f64 i) n)
(*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))
(expm1.f64 i)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(*.f64 (/.f64 i 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)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 n) i))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) n) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) (neg.f64 i)))
(*.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 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) #s(literal 1 binary64)) (/.f64 n i))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) n) #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) i))
(*.f64 (/.f64 (expm1.f64 i) #s(literal 1 binary64)) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(*.f64 (/.f64 (expm1.f64 i) #s(literal -1 binary64)) (/.f64 (*.f64 n #s(literal 100 binary64)) (neg.f64 i)))
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (neg.f64 i)))
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) i) (/.f64 (*.f64 n #s(literal 100 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -100 binary64) (/.f64 (*.f64 (expm1.f64 i) n) (neg.f64 i)))
(*.f64 (/.f64 n #s(literal 1 binary64)) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 (expm1.f64 i) n) #s(literal 1 binary64)))
(*.f64 (/.f64 n i) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) #s(literal 1 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)) (/.f64 n #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 (*.f64 n #s(literal 100 binary64)) #s(literal 1 binary64)))
(*.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 (*.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)))) 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 (*.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 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 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 (expm1.f64 i) #s(literal 1 binary64)) (/.f64 n i))
(*.f64 (/.f64 (expm1.f64 i) #s(literal -1 binary64)) (/.f64 (neg.f64 n) i))
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 n i))
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 (neg.f64 (expm1.f64 i)) i))
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) i) (/.f64 n #s(literal -1 binary64)))
(*.f64 (/.f64 n #s(literal 1 binary64)) (/.f64 (expm1.f64 i) i))
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(-.f64 (/.f64 #s(literal 2500/9 binary64) (-.f64 #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) i))) (/.f64 (*.f64 #s(literal 625/36 binary64) (*.f64 i i)) (-.f64 #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) i))))
(-.f64 (/.f64 (*.f64 #s(literal 625/36 binary64) (*.f64 i i)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) (/.f64 #s(literal 2500/9 binary64) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))))
(+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))
(+.f64 #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) i))
(*.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (/.f64 (expm1.f64 i) #s(literal 1 binary64)))
(*.f64 (expm1.f64 (+.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (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)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (expm1.f64 (+.f64 i i))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i))) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 i i)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.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)))) (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i))) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 i i))) (neg.f64 (-.f64 (exp.f64 i) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 i i))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))))
(/.f64 (expm1.f64 (+.f64 i i)) (-.f64 (exp.f64 i) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (expm1.f64 (+.f64 i i)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i))) (expm1.f64 (*.f64 i #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (expm1.f64 (+.f64 i i))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i))) (expm1.f64 (*.f64 i #s(literal 3 binary64)))))
(fma.f64 (exp.f64 i) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 i) #s(literal -1 binary64))
(expm1.f64 i)
(-.f64 (/.f64 (exp.f64 (+.f64 i i)) (-.f64 (exp.f64 i) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 i) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64))))))
(-.f64 (/.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (exp.f64 (+.f64 i i)))))
(-.f64 (exp.f64 i) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 i))
(+.f64 (exp.f64 i) #s(literal -1 binary64))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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))
(*.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))
(*.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))
(*.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))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(pow.f64 (exp.f64 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 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)
(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))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 i n))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) i)) (/.f64 (neg.f64 i) n))
(*.f64 (/.f64 i (/.f64 #s(literal -1 binary64) i)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(*.f64 (/.f64 i (/.f64 #s(literal 1 binary64) i)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 (neg.f64 i) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 i) (/.f64 #s(literal 1 binary64) i)))
(*.f64 (/.f64 i #s(literal -1 binary64)) (/.f64 (neg.f64 i) n))
(*.f64 (*.f64 i i) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i (/.f64 #s(literal 1 binary64) i)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 i) (/.f64 n i)))
(*.f64 (/.f64 i n) i)
(*.f64 i (/.f64 i n))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 i n) i))
(pow.f64 (/.f64 n (*.f64 i i)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 i i))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (*.f64 (neg.f64 i) i)) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (*.f64 i (neg.f64 i))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (*.f64 i i)) (neg.f64 n))
(/.f64 (*.f64 (neg.f64 i) i) (neg.f64 n))
(/.f64 (*.f64 i (neg.f64 i)) (neg.f64 n))
(/.f64 (*.f64 i i) n)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (*.f64 i i))))
(/.f64 (neg.f64 i) (/.f64 (neg.f64 n) i))
(/.f64 i (/.f64 n i))
(/.f64 #s(literal 1 binary64) (/.f64 n (*.f64 i i)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 n i)) (/.f64 (neg.f64 i) (/.f64 n i)))

eval168.0ms (1.3%)

Memory
-12.0MiB live, 216.5MiB allocated
Compiler

Compiled 31 931 to 3 133 computations (90.2% saved)

prune277.0ms (2.1%)

Memory
-8.4MiB live, 270.4MiB allocated
Pruning

57 alts after pruning (49 fresh and 8 done)

PrunedKeptTotal
New1 196201 216
Fresh112940
Picked235
Done055
Total1 209571 266
Accuracy
100.0%
Counts
1 266 → 57
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 #s(literal 100 binary64) i) (*.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)
72.5%
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i 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)
53.4%
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) i) n)) i)
✓53.2%
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) 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))
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))))
64.6%
(*.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)) #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)))
58.4%
(*.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 #s(literal 1 binary64) i)))
58.2%
(*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (/ 1 i)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))))
17.7%
(*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (/ 1 i)) (/.f64 (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) n)) i)))
10.1%
(*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (/ 1 i)) (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.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)))
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))))
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))))
4.5%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (*.f64 (/.f64 i n) i)))
14.2%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 i) n) (/.f64 #s(literal 1 binary64) n) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) 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)))
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)))
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 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
79.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) 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)))
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)))
61.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
✓58.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (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 (* 100 (/ (- (exp i) 1) i)) #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 (* (* 100 (/ (- (exp i) 1) i)) 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)))))
58.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
61.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))
24.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (/.f64 (fma.f64 (*.f64 (*.f64 n n) n) #s(literal 1000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))) (fma.f64 (*.f64 (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)))) i (*.f64 (*.f64 n #s(literal 100 binary64)) (-.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))))))
39.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (*.f64 (*.f64 (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 #s(literal -100 binary64) n))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 #s(literal -100 binary64) n))))))
14.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i) (*.f64 i i)))))
20.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) n (fma.f64 (/.f64 n (*.f64 (*.f64 i i) i)) #s(literal 100 binary64) (fma.f64 (/.f64 n (*.f64 i i)) #s(literal 50 binary64) (*.f64 (/.f64 n i) #s(literal 50/3 binary64))))) i) (*.f64 i i)))))
14.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 25/6 binary64)))))
22.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 #s(literal 50/3 binary64) n (/.f64 (fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(literal -50 binary64) n)) (neg.f64 i))) (neg.f64 i)))) (*.f64 (*.f64 i i) i)))))
14.7%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (*.f64 #s(literal -50/3 binary64) (/.f64 n i)))) (*.f64 (*.f64 i i) i)))))
14.2%
#s(approx (* 100 (/ (+ (* (/ (neg i) n) n) (* (pow (+ 1 (/ i n)) n) i)) (* (/ i n) i))) (*.f64 n (/.f64 #s(literal 0 binary64) (*.f64 i i))))
Compiler

Compiled 3 004 to 1 021 computations (66% saved)

regimes104.0ms (0.8%)

Memory
39.2MiB live, 75.5MiB allocated
Counts
104 → 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 (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 25/6 binary64)))))
#s(approx (* 100 (/ (+ (* (/ (neg i) n) n) (* (pow (+ 1 (/ i n)) n) i)) (* (/ i n) i))) (*.f64 n (/.f64 #s(literal 0 binary64) (*.f64 i 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 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) i) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) #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(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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.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 (/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (/ 1 i)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) 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 #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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i) (*.f64 i i)))))
(*.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 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 #s(literal 1 binary64) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (*.f64 #s(literal -50/3 binary64) (/.f64 n i)))) (*.f64 (*.f64 i i) i)))))
(*.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 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 (fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (*.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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 #s(literal 50/3 binary64) n (/.f64 (fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(literal -50 binary64) n)) (neg.f64 i))) (neg.f64 i)))) (*.f64 (*.f64 i i) i)))))
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) n (fma.f64 (/.f64 n (*.f64 (*.f64 i i) i)) #s(literal 100 binary64) (fma.f64 (/.f64 n (*.f64 i i)) #s(literal 50 binary64) (*.f64 (/.f64 n i) #s(literal 50/3 binary64))))) i) (*.f64 i i)))))
(/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (*.f64 (*.f64 (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 #s(literal -100 binary64) n))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 #s(literal -100 binary64) n))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) 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 (*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))) n))
(*.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
(*.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)) #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)))
#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 (*.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)))
(*.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)))
(*.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 #s(literal 100 binary64) i) (*.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 (-.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)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 i) n) (/.f64 #s(literal 1 binary64) n) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (*.f64 (/.f64 i 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))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (/.f64 (fma.f64 (*.f64 (*.f64 n n) n) #s(literal 1000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))) (fma.f64 (*.f64 (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)))) i (*.f64 (*.f64 n #s(literal 100 binary64)) (-.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) 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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (/ 1 i)) (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 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)))
(*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (/ 1 i)) (/.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)))
(*.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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Calls

4 calls:

31.0ms
n
25.0ms
i
21.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
21.0ms
(*.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)

regimes108.0ms (0.8%)

Memory
-37.2MiB live, 125.2MiB allocated
Counts
100 → 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 (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 25/6 binary64)))))
#s(approx (* 100 (/ (+ (* (/ (neg i) n) n) (* (pow (+ 1 (/ i n)) n) i)) (* (/ i n) i))) (*.f64 n (/.f64 #s(literal 0 binary64) (*.f64 i i))))
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(*.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))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (/.f64 (fma.f64 (*.f64 (*.f64 n n) n) #s(literal 1000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))) (fma.f64 (*.f64 (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)))) i (*.f64 (*.f64 n #s(literal 100 binary64)) (-.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) 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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (/ 1 i)) (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 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:

30.0ms
n
26.0ms
i
26.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
20.0ms
(*.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
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)

regimes92.0ms (0.7%)

Memory
28.8MiB live, 67.2MiB allocated
Counts
97 → 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 (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 25/6 binary64)))))
#s(approx (* 100 (/ (+ (* (/ (neg i) n) n) (* (pow (+ 1 (/ i n)) n) i)) (* (/ i n) i))) (*.f64 n (/.f64 #s(literal 0 binary64) (*.f64 i 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 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) i) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) #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(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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.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 (/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (/ 1 i)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) 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 #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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i) (*.f64 i i)))))
(*.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 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 #s(literal 1 binary64) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (*.f64 #s(literal -50/3 binary64) (/.f64 n i)))) (*.f64 (*.f64 i i) i)))))
(*.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 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 (fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (*.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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 #s(literal 50/3 binary64) n (/.f64 (fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(literal -50 binary64) n)) (neg.f64 i))) (neg.f64 i)))) (*.f64 (*.f64 i i) i)))))
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) n (fma.f64 (/.f64 n (*.f64 (*.f64 i i) i)) #s(literal 100 binary64) (fma.f64 (/.f64 n (*.f64 i i)) #s(literal 50 binary64) (*.f64 (/.f64 n i) #s(literal 50/3 binary64))))) i) (*.f64 i i)))))
(/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (*.f64 (*.f64 (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 #s(literal -100 binary64) n))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 #s(literal -100 binary64) n))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) 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 (*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))) n))
(*.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
(*.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)) #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)))
#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 (*.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)))
(*.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)))
(*.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 #s(literal 100 binary64) i) (*.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 (-.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)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 i) n) (/.f64 #s(literal 1 binary64) n) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (*.f64 (/.f64 i 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))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (/.f64 (fma.f64 (*.f64 (*.f64 n n) n) #s(literal 1000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))) (fma.f64 (*.f64 (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)))) i (*.f64 (*.f64 n #s(literal 100 binary64)) (-.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) 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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (/ 1 i)) (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 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)))
(/.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(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:

25.0ms
n
24.0ms
i
19.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
19.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
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)

regimes36.0ms (0.3%)

Memory
-43.9MiB live, 14.9MiB allocated
Counts
93 → 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 (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 25/6 binary64)))))
#s(approx (* 100 (/ (+ (* (/ (neg i) n) n) (* (pow (+ 1 (/ i n)) n) i)) (* (/ i n) i))) (*.f64 n (/.f64 #s(literal 0 binary64) (*.f64 i 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 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) i) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) #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(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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.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 (/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (/ 1 i)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) 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 #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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i) (*.f64 i i)))))
(*.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 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 #s(literal 1 binary64) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (*.f64 #s(literal -50/3 binary64) (/.f64 n i)))) (*.f64 (*.f64 i i) i)))))
(*.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 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 (fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (*.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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 #s(literal 50/3 binary64) n (/.f64 (fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(literal -50 binary64) n)) (neg.f64 i))) (neg.f64 i)))) (*.f64 (*.f64 i i) i)))))
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) n (fma.f64 (/.f64 n (*.f64 (*.f64 i i) i)) #s(literal 100 binary64) (fma.f64 (/.f64 n (*.f64 i i)) #s(literal 50 binary64) (*.f64 (/.f64 n i) #s(literal 50/3 binary64))))) i) (*.f64 i i)))))
(/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (*.f64 (*.f64 (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 #s(literal -100 binary64) n))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 #s(literal -100 binary64) n))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) 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 (*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))) n))
(*.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
(*.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)) #s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i)))
#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 (*.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)))
(*.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)))
(*.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 #s(literal 100 binary64) i) (*.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 (-.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)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 i) n) (/.f64 #s(literal 1 binary64) n) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (*.f64 (/.f64 i 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))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (/.f64 (fma.f64 (*.f64 (*.f64 n n) n) #s(literal 1000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))) (fma.f64 (*.f64 (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)))) i (*.f64 (*.f64 n #s(literal 100 binary64)) (-.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) 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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (/ 1 i)) (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 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)))
(/.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(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 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)))
Calls

1 calls:

32.0ms
n
Results
AccuracySegmentsBranch
87.0%5n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.2%)

Memory
14.7MiB live, 14.7MiB allocated
Counts
90 → 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 (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 25/6 binary64)))))
#s(approx (* 100 (/ (+ (* (/ (neg i) n) n) (* (pow (+ 1 (/ i n)) n) i)) (* (/ i n) i))) (*.f64 n (/.f64 #s(literal 0 binary64) (*.f64 i 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 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (/.f64 (fma.f64 (*.f64 (*.f64 n n) n) #s(literal 1000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))) (fma.f64 (*.f64 (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)))) i (*.f64 (*.f64 n #s(literal 100 binary64)) (-.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) 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)))
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:

22.0ms
n
Results
AccuracySegmentsBranch
83.7%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB 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 (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 25/6 binary64)))))
#s(approx (* 100 (/ (+ (* (/ (neg i) n) n) (* (pow (+ 1 (/ i n)) n) i)) (* (/ i n) i))) (*.f64 n (/.f64 #s(literal 0 binary64) (*.f64 i 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 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) i) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) #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(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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.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 (/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (/ 1 i)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) 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 #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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i) (*.f64 i i)))))
(*.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 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 #s(literal 1 binary64) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (*.f64 #s(literal -50/3 binary64) (/.f64 n i)))) (*.f64 (*.f64 i i) i)))))
(*.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 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 (fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (*.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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 #s(literal 50/3 binary64) n (/.f64 (fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(literal -50 binary64) n)) (neg.f64 i))) (neg.f64 i)))) (*.f64 (*.f64 i i) i)))))
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) n (fma.f64 (/.f64 n (*.f64 (*.f64 i i) i)) #s(literal 100 binary64) (fma.f64 (/.f64 n (*.f64 i i)) #s(literal 50 binary64) (*.f64 (/.f64 n i) #s(literal 50/3 binary64))))) i) (*.f64 i i)))))
(/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (*.f64 (*.f64 (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 #s(literal -100 binary64) n))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 #s(literal -100 binary64) n))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n))
Calls

1 calls:

14.0ms
n
Results
AccuracySegmentsBranch
83.7%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes53.0ms (0.4%)

Memory
-11.9MiB live, 27.2MiB allocated
Counts
55 → 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 (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 25/6 binary64)))))
#s(approx (* 100 (/ (+ (* (/ (neg i) n) n) (* (pow (+ 1 (/ i n)) n) i)) (* (/ i n) i))) (*.f64 n (/.f64 #s(literal 0 binary64) (*.f64 i 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 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) i) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) #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(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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.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 (/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (/ 1 i)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) 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 #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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i) (*.f64 i i)))))
(*.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 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 #s(literal 1 binary64) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (*.f64 #s(literal -50/3 binary64) (/.f64 n i)))) (*.f64 (*.f64 i i) i)))))
(*.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 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 (fma.f64 (/.f64 (neg.f64 i) n) n (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (*.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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 #s(literal 50/3 binary64) n (/.f64 (fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(literal -50 binary64) n)) (neg.f64 i))) (neg.f64 i)))) (*.f64 (*.f64 i i) i)))))
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (fma.f64 #s(literal 25/6 binary64) n (fma.f64 (/.f64 n (*.f64 (*.f64 i i) i)) #s(literal 100 binary64) (fma.f64 (/.f64 n (*.f64 i i)) #s(literal 50 binary64) (*.f64 (/.f64 n i) #s(literal 50/3 binary64))))) i) (*.f64 i i)))))
(/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (*.f64 (*.f64 (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 #s(literal -100 binary64) n))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 #s(literal -100 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 (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))
(/.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:

14.0ms
i
14.0ms
n
11.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
11.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
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)

regimes10.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
32 → 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 (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 25/6 binary64)))))
#s(approx (* 100 (/ (+ (* (/ (neg i) n) n) (* (pow (+ 1 (/ i n)) n) i)) (* (/ i n) i))) (*.f64 n (/.f64 #s(literal 0 binary64) (*.f64 i 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 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) i) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) #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(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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.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 (/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (/ 1 i)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) 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 #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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i) (*.f64 i i)))))
(*.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 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 #s(literal 1 binary64) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (*.f64 #s(literal -50/3 binary64) (/.f64 n i)))) (*.f64 (*.f64 i i) i)))))
(*.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 (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))
Calls

1 calls:

8.0ms
i
Results
AccuracySegmentsBranch
71.2%2i
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 25/6 binary64)))))
#s(approx (* 100 (/ (+ (* (/ (neg i) n) n) (* (pow (+ 1 (/ i n)) n) i)) (* (/ i n) i))) (*.f64 n (/.f64 #s(literal 0 binary64) (*.f64 i 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 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) i) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) #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(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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.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 (/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (/ 1 i)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) 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 #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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i) (*.f64 i i)))))
(*.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 (*.f64 n #s(literal 100 binary64)) (*.f64 #s(approx (- (pow (+ (/ i n) 1) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 #s(literal 1 binary64) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (*.f64 #s(literal -50/3 binary64) (/.f64 n i)))) (*.f64 (*.f64 i i) i)))))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))
Calls

2 calls:

8.0ms
n
8.0ms
i
Results
AccuracySegmentsBranch
69.7%3n
67.4%2i
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
20 → 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 (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 25/6 binary64)))))
#s(approx (* 100 (/ (+ (* (/ (neg i) n) n) (* (pow (+ 1 (/ i n)) n) i)) (* (/ i n) i))) (*.f64 n (/.f64 #s(literal 0 binary64) (*.f64 i 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 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) i) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) #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(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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.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 (/.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))
(*.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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))
(/.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)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))
Calls

1 calls:

6.0ms
n
Results
AccuracySegmentsBranch
69.7%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
18 → 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 (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 25/6 binary64)))))
#s(approx (* 100 (/ (+ (* (/ (neg i) n) n) (* (pow (+ 1 (/ i n)) n) i)) (* (/ i n) i))) (*.f64 n (/.f64 #s(literal 0 binary64) (*.f64 i 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 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) i) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) #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(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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.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 (/.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 (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(/.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)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
69.7%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-33.4MiB live, 6.3MiB allocated
Counts
15 → 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 (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 25/6 binary64)))))
#s(approx (* 100 (/ (+ (* (/ (neg i) n) n) (* (pow (+ 1 (/ i n)) n) i)) (* (/ i n) i))) (*.f64 n (/.f64 #s(literal 0 binary64) (*.f64 i 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 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) i) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) #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(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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
Outputs
#s(approx (* 100 (/ (+ (* (/ (neg i) n) n) (* (pow (+ 1 (/ i n)) n) i)) (* (/ i n) i))) (*.f64 n (/.f64 #s(literal 0 binary64) (*.f64 i i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
Calls

2 calls:

5.0ms
n
4.0ms
i
Results
AccuracySegmentsBranch
67.4%2i
68.3%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
14 → 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 (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 25/6 binary64)))))
#s(approx (* 100 (/ (+ (* (/ (neg i) n) n) (* (pow (+ 1 (/ i n)) n) i)) (* (/ i n) i))) (*.f64 n (/.f64 #s(literal 0 binary64) (*.f64 i 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 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))))
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 #s(literal 100 binary64) (*.f64 n i))) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 #s(literal 100 binary64) i) n)) i)
(/.f64 #s(approx (* (- (pow (+ (/ i n) 1) n) 1) (* 100 n)) (*.f64 (*.f64 n #s(literal 100 binary64)) i)) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) #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(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)))
Outputs
#s(approx (* 100 (/ (+ (* (/ (neg i) n) n) (* (pow (+ 1 (/ i n)) n) i)) (* (/ i n) i))) (*.f64 n (/.f64 #s(literal 0 binary64) (*.f64 i 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
67.1%3n
66.3%2i
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
7 → 1
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 (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) n) #s(literal 25/6 binary64)))))
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)))
Calls

4 calls:

3.0ms
n
3.0ms
i
2.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
2.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
60.3%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
60.3%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
60.3%1n
60.3%1i
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes8.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
5 → 1
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 (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#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 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n) #s(literal 100 binary64)))
Calls

4 calls:

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

regimes7.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
4 → 1
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 (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
Calls

4 calls:

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

Compiled 38 to 22 computations (42.1% saved)

regimes7.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
3 → 1
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 (* 100 (/ (- (exp i) 1) i)) #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(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
Calls

4 calls:

2.0ms
n
2.0ms
i
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
58.3%1i
58.3%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
58.3%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
58.3%1n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes6.0ms (0%)

Memory
-34.1MiB live, 5.7MiB 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 (* 100 (/ (- (exp i) 1) i)) #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 (* 100 (/ (- (exp i) 1) i)) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
Calls

4 calls:

2.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
i
1.0ms
n
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
57.9%2i
53.2%1n
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))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes3.0ms (0%)

Memory
3.7MiB live, 3.7MiB 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
0.4MiB live, 0.4MiB 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)

bsearch65.0ms (0.5%)

Memory
13.2MiB live, 13.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
7.917676894730253e-160
1.8886346289392285e-159
35.0ms
-2.479408896583718e-49
-7.422602697854127e-53
Samples
48.0ms202×1valid
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: 45.0ms
ival-pow: 28.0ms (62.4% of total)
ival-div: 6.0ms (13.4% of total)
adjust: 4.0ms (8.9% of total)
ival-add: 2.0ms (4.5% of total)
ival-sub: 2.0ms (4.5% of total)
ival-mult: 2.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch175.0ms (1.3%)

Memory
1.3MiB live, 41.5MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
50.0ms
4.645672083988957e-28
1.207370459534154e-22
26.0ms
4.6637214907871146e-73
1.2693210185218175e-72
41.0ms
3.6433540652817085e-282
1.0050261725639469e-271
46.0ms
-1.15701842048734e-114
-8.064586799071021e-126
Samples
57.0ms168×2valid
42.0ms261×1valid
17.0ms286×0invalid
16.0ms22×3valid
5.0ms93×0valid
Compiler

Compiled 956 to 636 computations (33.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-pow: 58.0ms (52.8% of total)
ival-div: 18.0ms (16.4% of total)
adjust: 12.0ms (10.9% of total)
ival-sub: 7.0ms (6.4% of total)
ival-mult: 7.0ms (6.4% of total)
ival-add: 6.0ms (5.5% of total)
ival-true: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
2.2MiB live, 2.2MiB 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 956 to 636 computations (33.5% saved)

bsearch44.0ms (0.3%)

Memory
10.7MiB live, 10.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
39.0ms
5.620852900730086e-216
2.620660051978887e-211
1.0ms
-1.15701842048734e-114
-8.064586799071021e-126
Samples
16.0ms50×2valid
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 (52.2% of total)
ival-div: 4.0ms (14.9% of total)
adjust: 3.0ms (11.2% of total)
ival-mult: 2.0ms (7.5% of total)
ival-sub: 2.0ms (7.5% 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)

bsearch101.0ms (0.8%)

Memory
-20.3MiB live, 18.4MiB 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 722 to 456 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-pow: 49.0ms (68.1% of total)
ival-div: 8.0ms (11.1% of total)
adjust: 6.0ms (8.3% of total)
ival-add: 3.0ms (4.2% of total)
ival-sub: 3.0ms (4.2% of total)
ival-mult: 3.0ms (4.2% 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 344 to 213 computations (38.1% saved)

bsearch45.0ms (0.3%)

Memory
11.4MiB live, 11.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.620852900730086e-216
2.620660051978887e-211
41.0ms
-1.15701842048734e-114
-8.064586799071021e-126
Samples
16.0ms48×2valid
13.0ms79×1valid
4.0ms73×0invalid
1.0ms17×0valid
Compiler

Compiled 596 to 393 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-pow: 14.0ms (51% of total)
ival-div: 5.0ms (18.2% of total)
adjust: 3.0ms (10.9% of total)
ival-add: 2.0ms (7.3% of total)
ival-mult: 2.0ms (7.3% of total)
ival-sub: 2.0ms (7.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

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

Compiled 596 to 393 computations (34.1% 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 560 to 375 computations (33% saved)

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 272 to 177 computations (34.9% saved)

bsearch38.0ms (0.3%)

Memory
-29.6MiB live, 9.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
-5.444781384660141e+91
-1.3407903996022084e+81
Samples
20.0ms104×1valid
4.0ms56×0valid
2.0ms40×0invalid
Compiler

Compiled 270 to 175 computations (35.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-pow: 10.0ms (47.5% of total)
ival-div: 4.0ms (19% of total)
adjust: 2.0ms (9.5% of total)
ival-add: 1.0ms (4.8% of total)
ival-mult: 1.0ms (4.8% of total)
ival-sub: 1.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch19.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
4.926176053688226e+45
1.886241873589957e+46
Samples
13.0ms66×1valid
1.0ms14×0valid
1.0ms14×0invalid
Compiler

Compiled 110 to 70 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-pow: 6.0ms (49.5% of total)
ival-div: 2.0ms (16.5% of total)
ival-add: 1.0ms (8.2% of total)
adjust: 1.0ms (8.2% of total)
ival-sub: 1.0ms (8.2% of total)
ival-mult: 1.0ms (8.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify19.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Algorithm
1×egg-herbie
Rules
84×*-commutative_binary64
38×unsub-neg_binary64
38×neg-mul-1_binary64
32×+-commutative_binary64
24×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02331527
12861527
23061527
33251527
43551527
54001527
64011527
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)) (*.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))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))))
(if (<=.f64 i #s(literal -2830794400050817/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 100 binary64) n)) i) (if (<=.f64 i #s(literal 3660489941801947/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088 binary64)) #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)))
(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)) (/.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) (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)) (/.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)))))))
(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)) (/.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) (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 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (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 #s(literal 100 binary64) (/.f64 (expm1.f64 i) 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 #s(literal 100 binary64) (/.f64 (expm1.f64 i) 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 (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) (/.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 (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))))
(if (<=.f64 n #s(literal -8576696946688161/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) (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))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))))
(if (<=.f64 n #s(literal -8576696946688161/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) (/.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) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))))))
(if (<=.f64 n #s(literal -8576696946688161/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) (/.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) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))))
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#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 (+ 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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) 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 (* 100 (/ (- (exp i) 1) i)) #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 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 0 binary64)) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (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)) #s(literal 100 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* 100 (/ (- (exp i) 1) i)) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* 100 (/ (- (exp i) 1) i)) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) 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 (* 100 (/ (- (exp i) 1) i)) #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))

soundness1.5s (11.5%)

Memory
13.8MiB live, 53.3MiB allocated
Rules
11 772×lower-fma.f64
11 772×lower-fma.f32
11 188×lower-fma.f64
11 188×lower-fma.f32
11 090×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097013932
1317312921
0884911895
05153831
116243489
255233268
081372980
083812507
1275611528
0846910408
0100016188
1319714920
0813313756
044319
078285
1328285
22430271
08548271
01044
01644
17344
257044
3735444
0866938
052330
084326
1321322
22193319
08898300
052335
087335
1370329
22823317
08513297
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×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 885 to 824 computations (56.3% saved)

preprocess99.0ms (0.8%)

Memory
3.5MiB live, 84.4MiB allocated
Compiler

Compiled 1 472 to 344 computations (76.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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