Compound Interest

Time bar (total: 13.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze175.0ms (1.3%)

Memory
-2.5MiB live, 361.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
39.1%39%60.9%0.1%0%0%0%7
44.5%44.5%55.4%0.1%0%0%0%8
55.3%55%44.5%0.1%0%0.4%0%9
59.3%58.7%40.4%0.1%0%0.8%0%10
65.5%64.5%34%0.1%0%1.5%0%11
67.8%66.6%31.6%0.1%0%1.8%0%12
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample3.8s (29.2%)

Memory
73.6MiB live, 4 130.4MiB allocated
Samples
1.5s4 467×1valid
1.1s1 685×2valid
167.0ms2 042×0valid
165.0ms2 038×0invalid
93.0ms62×3valid
2.0ms18×1exit
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-pow: 1.6s (62.8% of total)
ival-div: 326.0ms (12.8% of total)
adjust: 206.0ms (8.1% of total)
ival-sub: 171.0ms (6.7% of total)
ival-add: 113.0ms (4.4% of total)
ival-mult: 107.0ms (4.2% of total)
exact: 10.0ms (0.4% of total)
ival-true: 9.0ms (0.4% of total)
ival-assert: 5.0ms (0.2% of total)
Bogosity

explain370.0ms (2.8%)

Memory
-21.0MiB live, 242.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1641(3.4345234866124186e+44 4.1644300845181954e-5)1(0.010401383723295654 -7.902131279526038e+67)(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
6576(-2.544536717720076e-114 1.0858225612765066e+26)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
410-4(-5.130885013267202e-234 -1.3467196593440032e+78)(/.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-(*.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-#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))cancellation1641
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1240
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u370
(/.f64 i n)underflow37
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue170
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow47
(/.f64 i n)overflow17
(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow17
Confusion
Predicted +Predicted -
+1850
-2348
Precision
0.8894230769230769
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18500
-23048
Precision?
0.8894230769230769
Recall?
1.0
Freqs
test
numberfreq
048
1111
260
337
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
201.0ms278×1valid
52.0ms120×2valid
10.0ms110×0valid
3.0ms3valid
Compiler

Compiled 133 to 34 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-pow: 76.0ms (63.9% of total)
ival-div: 15.0ms (12.6% of total)
adjust: 11.0ms (9.2% of total)
ival-mult: 6.0ms (5% of total)
ival-sub: 5.0ms (4.2% of total)
ival-add: 5.0ms (4.2% of total)
ival-true: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)

preprocess190.0ms (1.4%)

Memory
-5.9MiB live, 111.7MiB allocated
Algorithm
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
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (/.f64 n i) (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)))
Compiler

Compiled 17 to 10 computations (41.2% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.9%
(*.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)

simplify134.0ms (1%)

Memory
22.3MiB live, 60.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
cost-diff0
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
cost-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
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)
i
n
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (/.f64 n i) (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)))
#s(literal 100 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
(/.f64 (fma.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (neg.f64 n)) i)
(-.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 #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

localize155.0ms (1.2%)

Memory
-15.3MiB live, 101.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.08984375
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
accuracy9.058033617192109
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
accuracy15.060510950367775
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy37.49819546770355
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
Samples
101.0ms139×1valid
24.0ms60×2valid
5.0ms55×0valid
2.0ms3valid
Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-pow: 93.0ms (80.9% of total)
ival-div: 8.0ms (7% of total)
adjust: 5.0ms (4.4% of total)
ival-sub: 3.0ms (2.6% of total)
ival-add: 3.0ms (2.6% of total)
ival-mult: 3.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
20.9MiB live, 20.9MiB 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))

simplify305.0ms (2.3%)

Memory
-35.6MiB live, 337.6MiB allocated
Algorithm
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
iter limit
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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(* 100 n)
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i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
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(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
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(* n (+ (log i) (* -1 (log n))))
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(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
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(- (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))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n)
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(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* 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)
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(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)
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(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(fma.f64 (/.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) i) (fma.f64 n n (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) i)) (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i 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 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (+.f64 (/.f64 (*.f64 n n) i) (+.f64 (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) (*.f64 i (*.f64 i i))))) (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) 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 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n)) i) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) 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) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n)) (fma.f64 n n (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) 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) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (/.f64 (fma.f64 n (*.f64 n (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n))) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n)) (+.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (neg.f64 i)))) i)) i))
1
#s(literal 1 binary64)
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(fma.f64 n (-.f64 (log.f64 i) (log.f64 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 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 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 n (fma.f64 n (fma.f64 n (+.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i))) (-.f64 (log.f64 i) (log.f64 n))) #s(literal 1 binary64))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) n) (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 (exp.f64 i) (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) 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 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 n (*.f64 n n)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) n) (exp.f64 i)))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) n) (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 #s(literal 1/2 binary64) (*.f64 i i) (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 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 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i (exp.f64 i)))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) (neg.f64 n)))) n)) n))

rewrite245.0ms (1.9%)

Memory
50.6MiB live, 381.3MiB 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
iter limit
node limit
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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 (neg.f64 n) i))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(+.f64 (/.f64 (neg.f64 n) i) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(+.f64 (*.f64 (/.f64 n i) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n i)))
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) (/.f64 i n)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) (/.f64 i n)))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 i n)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 i n)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 i (neg.f64 n))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n i)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) n)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) n)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (/.f64 (fma.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n)))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n) (*.f64 i (/.f64 i (*.f64 n n)))) (/.f64 (/.f64 i n) (*.f64 i (/.f64 i (*.f64 n n)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (fma.f64 (/.f64 n i) (*.f64 (/.f64 n i) (+.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)) (+.f64 n n)) (/.f64 (/.f64 (*.f64 n n) i) i)))) (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i))) (fma.f64 (/.f64 n i) (*.f64 (/.f64 n i) (+.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)) (+.f64 n n)) (/.f64 (/.f64 (*.f64 n n) i) i)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (/.f64 (/.f64 (*.f64 n n) i) i)) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (/.f64 (/.f64 (/.f64 (*.f64 n n) i) i) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 (neg.f64 n) i))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) i) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(fma.f64 n (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 (neg.f64 n) i))
(fma.f64 n (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 n (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(fma.f64 n (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i) (/.f64 (neg.f64 n) i))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(fma.f64 (neg.f64 n) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (/.f64 (neg.f64 n) i))
(fma.f64 (neg.f64 n) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 (neg.f64 n) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 1 binary64) (/.f64 (neg.f64 n) i))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(fma.f64 (/.f64 n i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (neg.f64 n) i))
(fma.f64 (/.f64 n i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 (/.f64 n i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(fma.f64 (/.f64 n i) #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(fma.f64 #s(literal -1 binary64) (/.f64 n i) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(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))) (/.f64 n i)) (/.f64 (neg.f64 n) i))
(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))) (/.f64 n i)) (*.f64 (/.f64 n i) #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))) (/.f64 n i)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 (neg.f64 n) i) (/.f64 (neg.f64 n) i))
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 (neg.f64 n) i) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 (neg.f64 n) i) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (*.f64 (/.f64 n i) #s(literal -1 binary64)))
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(*.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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(*.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 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 (+.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 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(*.f64 (+.f64 (neg.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) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (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))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (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)))
(*.f64 (/.f64 #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)) (+.f64 n n)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (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)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))) (/.f64 (+.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)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))) (*.f64 (+.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)))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (+.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 (/.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)) (+.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 (+.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 (+.f64 n n) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 #s(literal 2 binary64) (+.f64 n n)))))
(*.f64 (/.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 #s(literal 2 binary64) (+.f64 n n))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))))) (fma.f64 (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)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(exp.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)))
(exp.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))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(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)))))
(/.f64 #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 (neg.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)
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.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)))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(*.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 #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))))
(*.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)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/4 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/4 binary64))) (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 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) 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 #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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.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 #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/4 binary64))))

eval80.0ms (0.6%)

Memory
-2.0MiB live, 150.3MiB allocated
Compiler

Compiled 18 586 to 2 039 computations (89% saved)

prune385.0ms (2.9%)

Memory
-145.0MiB live, 308.9MiB allocated
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New56428592
Fresh000
Picked101
Done000
Total56528593
Accuracy
99.9%
Counts
593 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.7%
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
29.9%
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n))
30.3%
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
30.0%
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
30.3%
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
30.3%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
25.3%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
25.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
25.3%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
29.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
16.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #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 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
15.4%
(*.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)))
74.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
40.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
42.2%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
11.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)))
62.3%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
30.0%
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
55.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n)))
54.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)))
73.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i)))
63.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i)))))
72.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
12.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i))
19.5%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i (*.f64 i i))) (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) i) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 4 binary64))))) (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 50 binary64) (/.f64 #s(literal 100 binary64) (*.f64 i i)))) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) i))))
12.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 n (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))))
46.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
Compiler

Compiled 1 312 to 748 computations (43% saved)

simplify357.0ms (2.7%)

Memory
19.5MiB live, 293.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 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) n)
cost-diff128
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
cost-diff1024
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
cost-diff0
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))
cost-diff0
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n)
cost-diff0
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
cost-diff0
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i))
cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
cost-diff384
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))
cost-diff512
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
cost-diff0
(*.f64 n #s(literal 100 binary64))
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
cost-diff0
(*.f64 n (log1p.f64 (/.f64 i n)))
cost-diff128
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
cost-diff384
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
cost-diff6272
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
Rules
15 808×lower-fma.f32
15 800×lower-fma.f64
3 776×lower-*.f32
3 760×lower-*.f64
2 716×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047398
083385
1164375
2381375
31001375
42844375
55457375
08298370
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(*.f64 n (log1p.f64 (/.f64 i n)))
n
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n #s(literal 100 binary64))
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i))
(fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)
(*.f64 i i)
i
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
n
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 i n)
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #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)) n)
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 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
#s(literal 100 binary64)
#s(literal -100 binary64)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
#s(literal 100 binary64)
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
(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
(/.f64 #s(literal 1 binary64) i)
(/.f64 (neg.f64 n) i)
(neg.f64 n)
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(/.f64 (*.f64 n (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64))) i)
#s(literal 100 binary64)
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
(/.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i)
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(*.f64 n (log1p.f64 (/.f64 i n)))
n
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) n)
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 #s(literal -1 binary64) i) #s(literal 1/2 binary64))) i)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
#s(literal 100 binary64)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 #s(literal -1 binary64) i) #s(literal 1/2 binary64))) i)) (/.f64 n i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 #s(literal -1 binary64) i) #s(literal 1/2 binary64))) i))
(fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)
(fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 #s(literal -1 binary64) i) #s(literal 1/2 binary64))) i)
(*.f64 i i)
i
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 #s(literal -1 binary64) i) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
n
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 i n)
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(/.f64 (*.f64 n (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64))) i)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n)
(*.f64 n (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))
(fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 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
#s(literal 100 binary64)
#s(literal -100 binary64)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(/.f64 (*.f64 n (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64))) i)
#s(literal 100 binary64)
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))
(/.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i)
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(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
(/.f64 #s(literal 1 binary64) i)
(/.f64 (neg.f64 n) i)
(/.f64 n (neg.f64 i))
(neg.f64 n)

localize451.0ms (3.4%)

Memory
-15.6MiB live, 313.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
accuracy0.07421875
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
accuracy15.060510950367782
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy32.678623577004466
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))
accuracy0.12109375
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n)
accuracy3.966806061155916
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
accuracy15.060510950367782
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy36.591718306457956
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))
accuracy1.9577932927775172
(fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)
accuracy3.033665132251073
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
accuracy8.895152262117168
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))
accuracy24.191651807386798
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i))
accuracy0
(*.f64 n #s(literal 100 binary64))
accuracy30.099608834131743
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
accuracy0.07421875
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
accuracy4.12798293834592
(log1p.f64 (/.f64 i n))
accuracy8.895152262117168
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
accuracy8.949173786957147
(*.f64 n (log1p.f64 (/.f64 i n)))
Samples
238.0ms137×1valid
95.0ms60×2valid
12.0ms37×0valid
12.0ms5exit
6.0ms17×0invalid
2.0ms3valid
0.0ms1exit
Compiler

Compiled 348 to 46 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 216.0ms
ival-pow: 78.0ms (36.1% of total)
ival-div: 41.0ms (19% of total)
ival-mult: 33.0ms (15.3% of total)
adjust: 19.0ms (8.8% of total)
ival-add: 14.0ms (6.5% of total)
const: 12.0ms (5.6% of total)
ival-log1p: 7.0ms (3.2% of total)
ival-sub: 5.0ms (2.3% of total)
ival-expm1: 4.0ms (1.9% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.4%)

Memory
-2.4MiB live, 70.5MiB allocated
Counts
19 → 444
Calls
Call 1
Inputs
#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())
#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (patch (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) #<representation binary64>) () ())
#s(alt (*.f64 n (log1p.f64 (/.f64 i n))) (patch (*.f64 n (log1p.f64 (/.f64 i n))) #<representation binary64>) () ())
#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 n #s(literal 100 binary64)) (patch (*.f64 n #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (patch (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.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) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)) (patch (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) (patch (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (patch #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) (patch (/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) (patch (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (patch (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 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>) () ())
#s(alt (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) (patch (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) (patch (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) #<representation binary64>) () ())
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#s(alt (log1p.f64 (/.f64 i n)) (patch (log1p.f64 (/.f64 i n)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (patch (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) #<representation binary64>) () ())
Outputs
#s(alt (* n (+ (log i) (* -1 (log n)))) (taylor 0 n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (exp i) 1) (taylor inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) (taylor inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (exp i) 1) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt i (taylor 0 i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) (taylor inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) (taylor -inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) (taylor 0 n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.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 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.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 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.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)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) (taylor 0 n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))) (taylor inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))) (taylor inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))) (taylor inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor -inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n))))) (taylor -inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i))))) (taylor -inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
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#s(alt (+ i (+ (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* (pow i 2) (+ 1/2 (* 1/2 i)))) n)) (* (pow i 2) (+ 1/2 (* 1/6 i))))) (taylor -inf n) (#s(alt (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (patch (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) #<representation binary64>) () ())) ())
#s(alt (+ i (+ (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* (pow i 2) (+ 1/2 (* 1/2 i)))) n)) (* (pow i 2) (+ 1/2 (* 1/6 i))))) (taylor -inf n) (#s(alt (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (patch (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) #<representation binary64>) () ())) ())
Calls

111 calls:

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

simplify367.0ms (2.8%)

Memory
12.2MiB live, 411.2MiB allocated
Algorithm
egg-herbie
Rules
8 430×lower-fma.f64
8 430×lower-fma.f32
7 126×lower-+.f64
7 126×lower-+.f32
6 486×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116416049
1374114760
0861713713
Stop Event
iter limit
node limit
Counts
444 → 434
Calls
Call 1
Inputs
(* 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)
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)
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))
(/ (* n (- (exp i) 1)) i)
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))
(/ (* n (- (exp i) 1)) i)
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))
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))
(* -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))
(* 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)))))
(* 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))
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(* -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))
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i
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(* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))
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(+ (* -1 (/ (+ (* -1 (pow n 2)) (* 1/2 (/ (pow n 3) i))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
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(fma.f64 (*.f64 i i) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) i)
(+ i (+ (* 1/3 (/ (pow i 3) (pow n 2))) (+ (* (pow i 2) (+ 1/2 (* 1/6 i))) (/ (* (pow i 2) (- (* -1/2 i) 1/2)) n))))
(+.f64 i (fma.f64 (*.f64 i i) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n))))
(+ i (+ (* 1/3 (/ (pow i 3) (pow n 2))) (+ (* (pow i 2) (+ 1/2 (* 1/6 i))) (/ (* (pow i 2) (- (* -1/2 i) 1/2)) n))))
(+.f64 i (fma.f64 (*.f64 i i) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n))))
(+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))
(fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i)
(+ i (+ (* -1 (/ (* (pow i 2) (+ 1/2 (* 1/2 i))) n)) (* (pow i 2) (+ 1/2 (* 1/6 i)))))
(+.f64 i (fma.f64 (*.f64 i i) (/.f64 (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 n)) (*.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(+ i (+ (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* (pow i 2) (+ 1/2 (* 1/2 i)))) n)) (* (pow i 2) (+ 1/2 (* 1/6 i)))))
(+.f64 (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) (*.f64 (*.f64 i i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n)))
(+ i (+ (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* (pow i 2) (+ 1/2 (* 1/2 i)))) n)) (* (pow i 2) (+ 1/2 (* 1/6 i)))))
(+.f64 (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) (*.f64 (*.f64 i i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n)))

rewrite290.0ms (2.2%)

Memory
27.0MiB live, 475.3MiB allocated
Rules
4 996×lower-/.f32
4 978×lower-/.f64
4 248×lower-*.f32
4 232×lower-*.f64
4 092×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047301
083280
1352278
22896278
08856273
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 087
Calls
Call 1
Inputs
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 n (log1p.f64 (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n #s(literal 100 binary64))
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i))
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #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)) n)
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
(log1p.f64 (/.f64 i n))
(fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)
Outputs
(+.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))
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) (+.f64 (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 #s(literal 1 binary64) (+.f64 (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 (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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) (+.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))))) (/.f64 #s(literal 1 binary64) (+.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))))))
(-.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))))
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(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)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(expm1.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)))
(expm1.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))))
(expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 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)))))
(fma.f64 #s(literal 1 binary64) (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 (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))) #s(literal -1 binary64))
(fma.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)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 n (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64)))) (exp.f64 (*.f64 n (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) 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 (*.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 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.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) (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 #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 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (*.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 #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))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (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)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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)) (+.f64 n n)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (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)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.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)) (+.f64 n n)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (+.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)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(/.f64 (+.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 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (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 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.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))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal -1 binary64))) (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (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 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
(pow.f64 (/.f64 (+.f64 (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)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.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)) (+.f64 n n)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n 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))))
(*.f64 (+.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))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (+.f64 #s(literal 1 binary64) (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)) #s(literal 1 binary64)))
(+.f64 (/.f64 n (neg.f64 i)) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)))
(+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n (neg.f64 i)))
(exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) n))) #s(literal -1 binary64)))
(-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n))) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (neg.f64 n)) i)) (/.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (neg.f64 n)) i)))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i) i) (-.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) i))) (neg.f64 (-.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) i)))
(/.f64 (-.f64 (*.f64 i i) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 i i) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i))))) (-.f64 i (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 i (*.f64 i i) (pow.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 i (-.f64 i (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i))) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 i i) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i) i) (-.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) i)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) i))))
(/.f64 (neg.f64 (-.f64 (*.f64 i i) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 i i) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)))))) (neg.f64 (-.f64 i (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)))))
(pow.f64 (/.f64 (fma.f64 i (-.f64 i (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i))) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 i i) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i))))) (fma.f64 i (*.f64 i i) (pow.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) i) (*.f64 (fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i) i) (-.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) i))) #s(literal -1 binary64))
(*.f64 (fma.f64 i (*.f64 i i) (pow.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (-.f64 i (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i))) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 i i) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i) i) (-.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) i)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) i)))

eval315.0ms (2.4%)

Memory
-32.0MiB live, 357.9MiB allocated
Compiler

Compiled 52 180 to 3 638 computations (93% saved)

prune313.0ms (2.4%)

Memory
-22.6MiB live, 433.0MiB allocated
Pruning

56 alts after pruning (52 fresh and 4 done)

PrunedKeptTotal
New1 538411 579
Fresh121123
Picked145
Done000
Total1 551561 607
Accuracy
100.0%
Counts
1 607 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.3%
(fma.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
25.3%
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
24.7%
(fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
25.3%
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
24.9%
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
29.9%
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n))
25.2%
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n (*.f64 #s(literal -100 binary64) n)) i)
25.8%
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i)
30.3%
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
17.4%
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
17.4%
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
30.3%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) n) i)
55.2%
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 (*.f64 i #s(literal 100 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 100 binary64)))) n) i)
53.6%
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) #s(literal 100 binary64)))) n) i)
51.3%
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i)
73.0%
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) n) i)
51.2%
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
12.4%
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i)
29.9%
(+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
30.3%
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
54.5%
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i) i))) i) n)
25.3%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i))))
25.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
25.3%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
11.0%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
13.1%
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (* (pow (+ 1 (/ i n)) n) n) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
17.6%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
14.2%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
16.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
29.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
30.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i))
15.5%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
38.3%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (-.f64 (log1p.f64 (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 i n) i) i) n))))) (/.f64 i n)))
74.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
45.6%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i)) (/.f64 i n)))
27.1%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n))) i)) (/.f64 i n)))
11.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)))
62.3%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
19.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (*.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n)))
5.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)))) (/.f64 i n)))
15.6%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (*.f64 (*.f64 i (*.f64 i i)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 i n)))
30.0%
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
30.3%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (neg.f64 n) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
55.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n)))
54.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n)))
54.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)))
12.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i)))
73.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i)))
51.3%
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
53.4%
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 i (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n))) i)))
54.5%
#s(approx (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 n #s(literal 100 binary64))))
12.9%
#s(approx (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) (*.f64 (*.f64 n n) (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) i) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) i))) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) i))))
11.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i))
76.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)))
46.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
15.7%
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
Compiler

Compiled 2 272 to 1 379 computations (39.3% saved)

simplify207.0ms (1.6%)

Memory
32.4MiB live, 218.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (/.f64 i n) #s(literal 1 binary64))
cost-diff0
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
cost-diff0
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))
cost-diff1024
(fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
cost-diff0
(expm1.f64 i)
cost-diff0
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
cost-diff384
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))
cost-diff0
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n))
cost-diff0
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)))
cost-diff512
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
cost-diff1152
(*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
cost-diff0
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
cost-diff704
(/.f64 #s(literal 0 binary64) i)
cost-diff0
(/.f64 (expm1.f64 i) i)
cost-diff0
(*.f64 n #s(literal 100 binary64))
cost-diff0
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)))
Rules
13 312×lower-fma.f32
13 306×lower-fma.f64
3 856×lower-*.f32
3 840×lower-*.f64
2 208×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052363
082356
1171353
2398351
31110351
43558347
56218339
08305323
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))
(*.f64 n #s(literal 100 binary64))
n
#s(literal 100 binary64)
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
(/.f64 #s(literal 0 binary64) i)
#s(literal 0 binary64)
i
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n))
(fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)
i
(*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
n
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
i
(/.f64 i n)
n
(fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 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 n i)
#s(literal 100 binary64)
(*.f64 #s(literal -100 binary64) (/.f64 n i))
#s(literal -100 binary64)
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) n)
n
#s(literal 100 binary64)
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(literal 0 binary64))
(/.f64 #s(literal 0 binary64) i)
#s(literal 0 binary64)
#s(literal 0 binary64)
i
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) n) (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64))) n)))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) n) (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64))) n))
(fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)
(fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) n) (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64))) n)
i
(*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) n) (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
n
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 #s(literal -1 binary64) i) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
#s(literal 100 binary64)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 n i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
i
(/.f64 i n)
n
(fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(/.f64 (*.f64 n (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64))) i)
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 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 n i)
#s(literal 100 binary64)
(*.f64 #s(literal -100 binary64) (/.f64 n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
#s(literal -100 binary64)

localize378.0ms (2.9%)

Memory
8.5MiB live, 327.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))
accuracy0.22418873993272956
(*.f64 #s(literal -100 binary64) (/.f64 n i))
accuracy15.060510950367775
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy33.14393539426416
(fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
accuracy0
(expm1.f64 i)
accuracy0.08984375
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
accuracy8.914683512117168
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))
accuracy16.648664169574907
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
accuracy0.41111493587304293
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
accuracy3.061008882251073
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
accuracy4.055012758159178
(*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
accuracy26.493114154916718
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n))
accuracy0
(/.f64 #s(literal 0 binary64) i)
accuracy53.45198665403252
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
accuracy0
(expm1.f64 i)
accuracy0.01171875
(/.f64 (expm1.f64 i) i)
accuracy0.09765625
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))
accuracy15.30991696845434
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)))
Samples
247.0ms164×1valid
52.0ms37×2valid
22.0ms53×0valid
4.0ms5exit
0.0ms1exit
Compiler

Compiled 308 to 49 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 243.0ms
ival-pow: 75.0ms (30.9% of total)
ival-add: 58.0ms (23.9% of total)
ival-div: 43.0ms (17.7% of total)
ival-mult: 31.0ms (12.8% of total)
adjust: 19.0ms (7.8% of total)
const: 9.0ms (3.7% of total)
ival-sub: 4.0ms (1.6% of total)
ival-expm1: 2.0ms (0.8% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series47.0ms (0.4%)

Memory
-17.5MiB live, 20.1MiB allocated
Counts
20 → 420
Calls
Call 1
Inputs
#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) (patch (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) #<representation binary64>) () ())
#s(alt (*.f64 n #s(literal 100 binary64)) (patch (*.f64 n #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (expm1.f64 i) i) (patch (/.f64 (expm1.f64 i) i) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 0 binary64) i) (patch (/.f64 #s(literal 0 binary64) i) #<representation binary64>) () ())
#s(alt #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) (patch #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) #<representation binary64>) () ())
#s(alt (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (patch (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #<representation binary64>) () ())
#s(alt (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (patch (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #<representation binary64>) () ())
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#s(alt (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)) (patch (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)) #<representation binary64>) () ())
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#s(alt #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (patch #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #<representation binary64>) () ())
#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) (patch (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) #<representation binary64>) () ())
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#s(alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (patch (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 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 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ())
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#s(alt (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<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 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ())
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#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 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ())
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#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 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<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 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<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 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ())
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#s(alt (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) (taylor 0 n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ())
#s(alt (* (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)))) (taylor 0 n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ())
#s(alt (* (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)))))))) (taylor 0 n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ())
#s(alt (* (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))))))))))) (taylor 0 n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ())
#s(alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) (taylor inf n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ())
#s(alt (* 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))))) (taylor inf n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ())
#s(alt (* 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)))))) (taylor inf n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor -inf n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) (taylor -inf n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) (taylor -inf n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ())
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#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor 0 n) (#s(alt (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) (patch (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor 0 n) (#s(alt (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) (patch (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor 0 n) (#s(alt (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) (patch (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor 0 n) (#s(alt (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) (patch (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf n) (#s(alt (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) (patch (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) #<representation binary64>) () ())) ())
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#s(alt (/ 1/3 (pow n 2)) (taylor inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor 0 n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor 0 n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor 0 n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor 0 n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor -inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor -inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor -inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor -inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor 0 i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor 0 i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor 0 i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor 0 i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor -inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor -inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor -inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
#s(alt (* -100 (/ n i)) (taylor -inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
Calls

105 calls:

TimeVariablePointExpression
5.0ms
i
@0
(/ (- (exp i) 1) i)
1.0ms
i
@-inf
(* (* n 100) (/ (- (exp i) 1) i))
1.0ms
i
@inf
(* (* n 100) (/ (- (exp i) 1) i))
1.0ms
n
@0
(* (* n 100) (/ (- (exp i) 1) i))
1.0ms
i
@-inf
(/ (- (exp i) 1) i)

simplify343.0ms (2.6%)

Memory
7.0MiB live, 257.0MiB allocated
Algorithm
egg-herbie
Rules
11 436×lower-fma.f64
11 436×lower-fma.f32
6 384×lower-*.f64
6 384×lower-*.f32
5 886×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082511884
1264410955
0828710085
Stop Event
iter limit
node limit
Counts
420 → 416
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))))))))
(* (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)))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 n)
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
1
(+ 1 (* 1/2 i))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
0
0
0
0
0
0
0
0
0
0
0
0
(* 100 (/ (+ n (* -1 n)) i))
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
(* 100 (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i))
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(* -100 (/ (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))
(* -1 (/ (+ (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i))
(* -1 (/ (+ (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i))
(* 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))))))
(* 1/3 (/ i n))
(/ (+ (* 1/3 i) (* n (- (* -1/2 i) 1/2))) n)
(/ (+ (* 1/3 i) (* n (- (+ (* -1/2 i) (* n (+ 1/2 (* 1/6 i)))) 1/2))) n)
(/ (+ (* 1/3 i) (* n (- (+ (* -1/2 i) (* n (+ 1/2 (* 1/6 i)))) 1/2))) n)
(* n (+ 1/2 (* 1/6 i)))
(* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (* 1/6 i))) (* 1/2 (/ 1 n))))
(* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))))
(* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))))
(* n (+ 1/2 (* 1/6 i)))
(* -1 (* n (+ (* -1 (+ 1/2 (* 1/6 i))) (+ (* 1/2 (/ i n)) (* 1/2 (/ 1 n))))))
(* -1 (* n (+ (* -1 (+ 1/2 (* 1/6 i))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 i))) (* 1/3 (/ i n))) n)))))
(* -1 (* n (+ (* -1 (+ 1/2 (* 1/6 i))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 i))) (* 1/3 (/ i n))) n)))))
(* n (- 1/2 (* 1/2 (/ 1 n))))
(+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))
(+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))
(+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))
(* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))
(* i (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)))
(* i (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)))
(* i (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)))
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(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(* 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)))))
i
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(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
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(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (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)
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(- (+ (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)
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(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
i
(* i (+ 1 (* 1/2 i)))
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(/ (+ (* -100 n) (* 100 n)) i)
(/ (+ (* -100 n) (+ (* 100 n) (* 100 (* i n)))) i)
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))) i)
(/ (+ (* -100 n) (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) i)
(/ (+ (* -100 n) (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* -100 n) (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(/ (+ (* -100 n) (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))))) i)
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 n)) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (+ (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (* 100 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)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* 100 n))) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i)) (* 100 n))) i))
(* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i))))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i)))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(* n (- (* 100 (/ (exp i) i)) (* 100 (/ 1 i))))
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) i))) (* 100 (/ 1 i))))
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (* 100 (/ 1 i))))
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) 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 (/ 1 i))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* 100 (/ 1 i)))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ 1 i))))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ 1 i))))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (/ 1 i))))))
(/ n i)
(/ (+ n (* i n)) i)
(/ (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) i)
(/ (+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)
(/ (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)
(/ (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)
(* -1 (/ (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))
(* -1 (/ (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))
(/ n i)
(* n (+ (* n (+ (* -1 (/ (log n) i)) (/ (log i) i))) (/ 1 i)))
(* n (+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) (/ 1 i)))
(* n (+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) (/ 1 i)))
(/ (* n (exp i)) i)
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)))
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))
(/ (* n (exp i)) i)
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* 1/2 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)))))
1
(+ 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)))
1
(+ 1 (/ i n))
(+ 1 (/ i n))
(+ 1 (/ i n))
(/ i n)
(* i (+ (/ 1 i) (/ 1 n)))
(* i (+ (/ 1 i) (/ 1 n)))
(* i (+ (/ 1 i) (/ 1 n)))
(/ i n)
(* i (+ (/ 1 i) (/ 1 n)))
(* i (+ (/ 1 i) (/ 1 n)))
(* i (+ (/ 1 i) (/ 1 n)))
(/ i n)
(/ (+ i n) n)
(/ (+ i n) n)
(/ (+ i n) n)
1
(+ 1 (/ i n))
(+ 1 (/ i n))
(+ 1 (/ i n))
1
(+ 1 (/ i n))
(+ 1 (/ i n))
(+ 1 (/ i 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))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
Outputs
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(fma.f64 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 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 n (fma.f64 n (fma.f64 n (+.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i))) (-.f64 (log.f64 i) (log.f64 n))) #s(literal 1 binary64))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) n) (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 (exp.f64 i) (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) 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 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 n (*.f64 n n)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) n) (exp.f64 i)))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) n) (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 #s(literal 1/2 binary64) (*.f64 i (*.f64 i (exp.f64 i))) (/.f64 (*.f64 (neg.f64 (exp.f64 i)) (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)))) 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 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i (exp.f64 i)))) (/.f64 (fma.f64 (exp.f64 i) (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64))))) (neg.f64 n))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(/ i n)
(/.f64 i n)
(* i (+ (/ 1 i) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(* i (+ (/ 1 i) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(* i (+ (/ 1 i) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(/ i n)
(/.f64 i n)
(* i (+ (/ 1 i) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(* i (+ (/ 1 i) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(* i (+ (/ 1 i) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(/ i n)
(/.f64 i n)
(/ (+ i n) n)
(/.f64 (+.f64 n i) n)
(/ (+ i n) n)
(/.f64 (+.f64 n i) n)
(/ (+ i n) n)
(/.f64 (+.f64 n i) n)
1
#s(literal 1 binary64)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
1
#s(literal 1 binary64)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i 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))
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)

rewrite297.0ms (2.3%)

Memory
-8.0MiB live, 186.8MiB allocated
Rules
4 592×lower-/.f32
4 578×lower-/.f64
3 574×lower-*.f32
3 558×lower-*.f64
3 256×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052279
082270
1370267
23225267
08711247
Stop Event
iter limit
node limit
iter limit
Counts
20 → 496
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))
(*.f64 n #s(literal 100 binary64))
(/.f64 (expm1.f64 i) i)
(/.f64 #s(literal 0 binary64) i)
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
(*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
(fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(*.f64 #s(literal -100 binary64) (/.f64 n i))
Outputs
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))))
(/.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 i (expm1.f64 i)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))))))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) #s(literal 1 binary64)) (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (neg.f64 (expm1.f64 i))) (neg.f64 i))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) n)) (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) n)) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) #s(literal 1 binary64))) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) n))) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n))) (neg.f64 (neg.f64 i)))
(pow.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 100 binary64) n)))
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i) n)
(*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) (/.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) n)
(*.f64 n #s(literal 100 binary64))
(+.f64 (/.f64 (exp.f64 i) i) (neg.f64 (/.f64 #s(literal 1 binary64) i)))
(+.f64 (/.f64 (exp.f64 i) i) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) i)))
(exp.f64 (*.f64 (log.f64 (/.f64 i (expm1.f64 i))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 i) (neg.f64 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 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))) i) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))) i))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) i) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 i))) i))
(-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 i (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))) (/.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))))
(-.f64 (/.f64 (exp.f64 (+.f64 i i)) (*.f64 i (+.f64 #s(literal 1 binary64) (exp.f64 i)))) (/.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(-.f64 (/.f64 (*.f64 (exp.f64 i) i) (*.f64 i i)) (/.f64 i (*.f64 i i)))
(-.f64 (/.f64 (*.f64 (exp.f64 i) (neg.f64 i)) (*.f64 i (neg.f64 i))) (/.f64 (*.f64 i #s(literal -1 binary64)) (*.f64 i (neg.f64 i))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 i (*.f64 i i))) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i i))) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) i) (*.f64 (/.f64 (exp.f64 i) i) (/.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 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) i)) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))))
(fma.f64 (exp.f64 i) (/.f64 #s(literal 1 binary64) i) (neg.f64 (/.f64 #s(literal 1 binary64) i)))
(fma.f64 (exp.f64 i) (/.f64 #s(literal 1 binary64) i) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) i)))
(neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 i)) i))
(/.f64 #s(literal 1 binary64) (/.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) (neg.f64 (neg.f64 (/.f64 i (expm1.f64 i)))))
(/.f64 (expm1.f64 i) i)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 i)) (neg.f64 i))
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 i (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (expm1.f64 (+.f64 i i)) (*.f64 i (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (-.f64 (*.f64 (exp.f64 i) i) i) (*.f64 i i))
(/.f64 (-.f64 (*.f64 (exp.f64 i) (neg.f64 i)) (*.f64 i #s(literal -1 binary64))) (*.f64 i (neg.f64 i)))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (neg.f64 i)))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) i))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) (neg.f64 i)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (neg.f64 (*.f64 i (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 i i))) (neg.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 i))) (neg.f64 (neg.f64 i)))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)))))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 n n)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 n n) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1/3 binary64) n)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64)))))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 n (neg.f64 n))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (/.f64 #s(literal 1/3 binary64) n))))
(/.f64 #s(literal -1/3 binary64) (*.f64 n (neg.f64 n)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) n) n)
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) n)) (neg.f64 n))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) n))) n)
(pow.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 n (/.f64 #s(literal 1/3 binary64) n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n)))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n (neg.f64 n))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1 binary64) n))
(neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(/.f64 #s(literal 100 binary64) (/.f64 i (neg.f64 n)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n #s(literal -100 binary64))))
(/.f64 (*.f64 #s(literal 100 binary64) n) (neg.f64 i))
(/.f64 #s(literal -100 binary64) (/.f64 i n))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 n #s(literal -100 binary64)))))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(/.f64 (neg.f64 (*.f64 n #s(literal -100 binary64))) (neg.f64 i))
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i)
(/.f64 (*.f64 #s(literal -100 binary64) (neg.f64 n)) (neg.f64 i))
(/.f64 (*.f64 (neg.f64 n) #s(literal -100 binary64)) (neg.f64 i))
(/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) n)) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (*.f64 n #s(literal -100 binary64)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (neg.f64 n))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (neg.f64 n) #s(literal -100 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n))) (neg.f64 i))
(pow.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (neg.f64 n) i))
(*.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -100 binary64)))
(*.f64 (neg.f64 n) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)))
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))
(*.f64 (/.f64 n i) #s(literal -100 binary64))
(*.f64 #s(literal -100 binary64) (/.f64 n i))
(*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i))

eval174.0ms (1.3%)

Memory
18.9MiB live, 101.2MiB allocated
Compiler

Compiled 28 248 to 2 575 computations (90.9% saved)

prune344.0ms (2.6%)

Memory
-37.4MiB live, 245.4MiB allocated
Pruning

53 alts after pruning (49 fresh and 4 done)

PrunedKeptTotal
New93219951
Fresh173047
Picked505
Done044
Total954531 007
Accuracy
100.0%
Counts
1 007 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.3%
(fma.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
25.3%
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
25.3%
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
25.3%
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i)))
10.4%
(fma.f64 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
24.9%
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
29.9%
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n))
25.2%
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n (*.f64 #s(literal -100 binary64) n)) i)
25.8%
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i)
30.3%
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
30.3%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) n) i)
51.3%
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i)
73.0%
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) n) i)
51.2%
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
12.4%
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i)
29.9%
(+.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i)))
29.9%
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)) (/.f64 n i))
75.9%
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
72.8%
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) n)))
61.2%
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i))
25.3%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i))))
25.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
25.3%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
11.0%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
13.1%
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (* (pow (+ 1 (/ i n)) n) n) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
17.6%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
14.2%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
16.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
29.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
30.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i))
15.5%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
74.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
11.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)))
19.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (*.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n)))
5.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)))) (/.f64 i n)))
30.0%
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
30.3%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (neg.f64 n) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
55.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n)))
59.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n)))
45.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n)))
12.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i)))
16.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i))))
12.9%
#s(approx (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) (*.f64 (*.f64 n n) (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) i) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) i))) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) i))))
16.2%
#s(approx (+ (* (* (pow (+ (/ i n) 1) n) (/ n i)) 100) (* -100 (/ n i))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i))
11.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))
60.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) i)))
60.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
55.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)))))
46.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
60.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))))
59.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)))))))
55.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
15.7%
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
Compiler

Compiled 1 898 to 1 161 computations (38.8% saved)

simplify441.0ms (3.3%)

Memory
17.2MiB live, 97.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
cost-diff0
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))
cost-diff1024
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
cost-diff0
(*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
cost-diff0
(*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
cost-diff0
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i)
cost-diff320
(fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
cost-diff0
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n)
cost-diff128
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
cost-diff1024
(fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))
cost-diff0
#s(approx (/ 0 i) #s(literal 0 binary64))
cost-diff0
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
cost-diff0
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
cost-diff0
(*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))
cost-diff0
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i)
cost-diff0
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
Rules
3 716×lower-fma.f32
3 710×lower-fma.f64
2 440×lower-*.f32
2 422×lower-*.f64
1 510×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044305
070302
1138289
2245289
3414279
4768279
51360279
62145279
72964279
83660279
94401279
104643279
114734279
124785279
134855279
144874279
154876279
164876279
174876279
186118279
196722279
206767279
216773279
226775279
236775279
246777279
256781279
266781279
276821279
286838279
06838274
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i)
(*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))
#s(literal 100 binary64)
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
i
n
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (/ 0 i) #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
#s(literal 100 binary64)
(fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))
(*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n)
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(literal 1 binary64)
n
(/.f64 #s(literal 1 binary64) i)
i
(/.f64 (neg.f64 n) i)
(neg.f64 n)
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i)
(fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
n
#s(literal -100 binary64)
(*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
#s(literal 100 binary64)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
i
#s(literal 1 binary64)
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
n
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
i
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) i)
#s(literal 100 binary64)
(*.f64 #s(literal -100 binary64) (/.f64 n i))
#s(literal -100 binary64)
(/.f64 n i)
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))
(*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))
#s(literal 100 binary64)
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
i
n
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (/ 0 i) #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 (/.f64 n i) (fma.f64 #s(literal 100 binary64) #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal -100 binary64)))
#s(literal 100 binary64)
(fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))
(*.f64 n (/.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal -1 binary64)) i))
(*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n)
(*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(literal 1 binary64)
n
(/.f64 #s(literal 1 binary64) i)
i
(/.f64 (neg.f64 n) i)
(neg.f64 n)
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i)
(*.f64 (/.f64 n i) (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)))
(fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
(*.f64 n (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)))
n
#s(literal -100 binary64)
(*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
#s(literal 100 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
#s(literal 1 binary64)
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 (/.f64 n i) (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)))
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
n
(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
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))
(/.f64 #s(literal 100 binary64) i)
(/.f64 #s(literal 1 binary64) i)
#s(literal 100 binary64)
(*.f64 #s(literal -100 binary64) (/.f64 n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
#s(literal -100 binary64)
(/.f64 n i)

localize406.0ms (3.1%)

Memory
12.2MiB live, 290.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.22418873993272956
(*.f64 #s(literal -100 binary64) (/.f64 n i))
accuracy0.296875
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))
accuracy15.060510950367782
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy32.980777599191505
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
accuracy0.01953125
(*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
accuracy3.974618561155916
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i)
accuracy15.060510950367782
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy36.78189686532167
(fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
accuracy0.0078125
(*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n)
accuracy0.0859375
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
accuracy23.01938789315742
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
accuracy32.925775258701336
(fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))
accuracy0
#s(approx (/ 0 i) #s(literal 0 binary64))
accuracy53.2092034725489
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
accuracy0.0703125
(*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))
accuracy0.08203125
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
accuracy0.109375
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i)
accuracy16.648664169574907
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
Samples
208.0ms145×1valid
113.0ms55×2valid
15.0ms53×0valid
7.0ms5exit
0.0ms1exit
Compiler

Compiled 286 to 37 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 279.0ms
ival-mult: 83.0ms (29.8% of total)
ival-pow: 81.0ms (29.1% of total)
adjust: 54.0ms (19.4% of total)
ival-add: 31.0ms (11.1% of total)
ival-div: 23.0ms (8.3% of total)
ival-sub: 3.0ms (1.1% of total)
ival-expm1: 2.0ms (0.7% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series50.0ms (0.4%)

Memory
3.5MiB live, 42.0MiB allocated
Counts
19 → 432
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) (patch (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (patch (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (patch #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #<representation binary64>) () ())
#s(alt #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (patch #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 0 i) #s(literal 0 binary64)) (patch #s(approx (/ 0 i) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) (patch (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) (patch (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (patch (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (patch #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (patch (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i) (patch (/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i) #<representation binary64>) () ())
#s(alt (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (patch (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (patch (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) (patch (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (patch (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #<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 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())
Outputs
#s(alt (* 100 n) (taylor 0 i) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (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 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (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 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (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 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ())
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#s(alt (* -100 (/ n i)) (taylor -inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ())
Calls

108 calls:

TimeVariablePointExpression
1.0ms
i
@-inf
(/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i)
0.0ms
i
@-inf
(/ (+ (* n -100) (* n (* 100 (pow (+ (/ i n) 1) n)))) i)
0.0ms
i
@inf
(/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i)
0.0ms
i
@-inf
(+ (* n -100) (* n (* 100 (pow (+ (/ i n) 1) n))))
0.0ms
n
@-inf
(/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i)

simplify328.0ms (2.5%)

Memory
-16.9MiB live, 537.8MiB allocated
Algorithm
egg-herbie
Rules
9 916×lower-fma.f64
9 916×lower-fma.f32
7 610×lower-+.f64
7 610×lower-+.f32
5 800×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100515595
1323714165
0816113162
Stop Event
iter limit
node limit
Counts
432 → 427
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))
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(* n (exp i))
(* n (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))))
(* 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)))))
(* n (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
(* n (exp i))
(* -1 (* n (+ (* -1 (exp i)) (* 1/2 (/ (* (pow i 2) (exp i)) n)))))
(* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1/2 (* (pow i 2) (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) n)))))
(* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) n)))))
n
(+ n (* i n))
(+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
(* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))
(+ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* 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)))))))) (* -1 (/ (+ (* -1 (/ (* 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)) (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -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 i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
Outputs
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (*.f64 #s(literal 100 binary64) n))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(fma.f64 i (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 #s(literal 100 binary64) n))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 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 n (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (fma.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64))) (*.f64 i i))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 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 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64))) (*.f64 i i)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) (*.f64 i (*.f64 i i))))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)))) i)
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) 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 n (*.f64 n n)) (/.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) i) (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))))) (neg.f64 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 (-.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) #s(literal -100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64))) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i) (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))))) 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 (-.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) #s(literal -100 binary64)) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64))))) i) (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64))) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))))) (neg.f64 i))) i)) (neg.f64 i))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.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 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (/.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 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) (/.f64 #s(literal 1 binary64) (*.f64 i i))))))))
(* (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 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i (*.f64 i i))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) i) (/.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (*.f64 i i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i i))))) (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))))))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(*.f64 n (fma.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i) (/.f64 (*.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i))) 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)))))
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(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
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(* 100 n)
(*.f64 #s(literal 100 binary64) n)
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(-.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (neg.f64 (fma.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64))) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64)))) i))) i))) i))
1
#s(literal 1 binary64)
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(fma.f64 n (-.f64 (log.f64 i) (log.f64 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 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 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 n (fma.f64 n (fma.f64 n (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i))) (-.f64 (log.f64 i) (log.f64 n))) #s(literal 1 binary64))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (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 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) 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 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 n (*.f64 n n)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i)))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (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 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 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 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)) (/.f64 (-.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64))))) n)) (neg.f64 n))) n))
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(* -100 (/ n i))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)

rewrite264.0ms (2%)

Memory
-3.4MiB live, 440.1MiB allocated
Rules
7 572×lower-fma.f32
7 566×lower-fma.f64
4 108×lower-*.f32
4 090×lower-*.f64
3 858×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044247
070233
1274229
22085221
08211207
Stop Event
iter limit
node limit
iter limit
Counts
19 → 454
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i)
(*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (/ 0 i) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n)
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
(fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i)
(*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(*.f64 #s(literal -100 binary64) (/.f64 n i))
Outputs
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))) (/.f64 (neg.f64 n) (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n))))
(/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))))
(/.f64 (neg.f64 n) (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)))))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i)
(/.f64 (neg.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n))) (neg.f64 i))
(/.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))))
(/.f64 (*.f64 n (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)) n) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 n (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)) n)) (neg.f64 (neg.f64 i)))
(pow.f64 (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n))) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n))
(*.f64 n (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i))
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)) (/.f64 n #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 n (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) #s(literal 1 binary64)))
(*.f64 (/.f64 n i) (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) #s(literal 1 binary64)))
(*.f64 (/.f64 n i) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i))
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (/.f64 (*.f64 #s(literal 100 binary64) n) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))))
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)) i))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)) #s(literal -1 binary64)) (/.f64 n i))
(exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)))
(neg.f64 (*.f64 #s(literal -100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)))
(neg.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)) i))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))))))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) #s(literal 1 binary64)) i)
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) #s(literal 1 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) #s(literal -1 binary64))) (neg.f64 (neg.f64 i)))
(pow.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i))
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)))
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))) #s(literal -1 binary64)))
(*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) i))
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eval116.0ms (0.9%)

Memory
36.1MiB live, 227.5MiB allocated
Compiler

Compiled 30 905 to 2 523 computations (91.8% saved)

prune250.0ms (1.9%)

Memory
-33.2MiB live, 450.2MiB allocated
Pruning

67 alts after pruning (61 fresh and 6 done)

PrunedKeptTotal
New90732939
Fresh152944
Picked325
Done044
Total92567992
Accuracy
100.0%
Counts
992 → 67
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.3%
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 (*.f64 #s(literal 100 binary64) n) #s(literal 1 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
10.7%
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
10.9%
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
25.3%
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
11.0%
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
25.3%
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 #s(literal 100 binary64) i) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
10.4%
(fma.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
11.0%
(fma.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
25.4%
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) i))
11.0%
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
13.6%
(fma.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
10.4%
(fma.f64 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
11.5%
(fma.f64 n (/.f64 #s(literal -100 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
11.4%
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -100 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
29.9%
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n))
1.6%
(/.f64 (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i))) #s(literal -1000000 binary64) (*.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1000000 binary64) (*.f64 i (*.f64 i i))))) (fma.f64 (/.f64 (*.f64 n n) (*.f64 i i)) #s(literal 10000 binary64) (-.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (*.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))))))
25.9%
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64))) i)
13.6%
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))))) i)
11.7%
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)))) i)
6.4%
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (/.f64 (*.f64 #s(literal 10000 binary64) (*.f64 n n)) (*.f64 i i))) (/.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (*.f64 #s(literal 100 binary64) (neg.f64 n))) i))
30.3%
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
30.3%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) n) i)
73.1%
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i)
51.3%
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i)
12.4%
(/.f64 #s(approx (+ (* n -100) (* n (* 100 (pow (+ (/ i n) 1) n)))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i)
51.2%
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
29.9%
(+.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i)))
29.9%
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)) (/.f64 n i))
30.3%
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n) i) #s(literal 100 binary64))
75.9%
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
11.5%
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n)))) i) n)
46.3%
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
72.8%
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) n)))
61.2%
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i))
54.9%
(*.f64 #s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 100 binary64))) n)
25.3%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i))))
11.0%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
25.3%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
13.1%
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (* (pow (+ 1 (/ i n)) n) n) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
11.0%
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) (/.f64 n (neg.f64 i))))
11.6%
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal -1 binary64) i) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))))
14.2%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
4.5%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (neg.f64 (/.f64 i n)) i) (*.f64 i (neg.f64 (/.f64 i n)))))
12.7%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
15.2%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 i i)))
8.2%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) i (*.f64 (neg.f64 (/.f64 i n)) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 (neg.f64 (/.f64 i n)) i)))
29.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
15.5%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
74.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
19.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (*.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n)))
5.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)))) (/.f64 i n)))
30.0%
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
13.9%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (/.f64 n i)))
59.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n)))
45.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n)))
12.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i)))
16.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i))))
16.2%
#s(approx (+ (* (* (pow (+ (/ i n) 1) n) (/ n i)) 100) (* -100 (/ n i))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i))
11.1%
#s(approx (* (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) n) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i))
60.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) i)))
60.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
55.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)))))
46.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
60.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))))
59.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)))))))
55.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
15.7%
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
Compiler

Compiled 3 483 to 1 202 computations (65.5% saved)

regimes136.0ms (1%)

Memory
1.4MiB live, 282.1MiB allocated
Counts
121 → 4
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)))))))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n)))
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)))) i)
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))))) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal -1 binary64) i) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))))
(fma.f64 n (/.f64 #s(literal -100 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(fma.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (* (pow (+ 1 (/ i n)) n) n) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -100 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
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#s(approx (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) (*.f64 (*.f64 n n) (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) i) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) i))) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i (*.f64 i i))) (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) i) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 4 binary64))))) (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 50 binary64) (/.f64 #s(literal 100 binary64) (*.f64 i i)))) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) i))))
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) 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 n #s(literal 100 binary64)))
Calls

4 calls:

35.0ms
n
34.0ms
i
30.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
29.0ms
(*.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
88.0%4i
88.6%3n
95.2%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
95.2%4(/.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)

regimes119.0ms (0.9%)

Memory
21.0MiB live, 184.1MiB allocated
Counts
111 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)))))))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n)))
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)))) i)
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))))) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal -1 binary64) i) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))))
(fma.f64 n (/.f64 #s(literal -100 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(fma.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (* (pow (+ 1 (/ i n)) n) n) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -100 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 (*.f64 i #s(literal 100 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 100 binary64)))) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (neg.f64 (/.f64 i n)) i) (*.f64 i (neg.f64 (/.f64 i n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) i (*.f64 (neg.f64 (/.f64 i n)) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 (neg.f64 (/.f64 i n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 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 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (*.f64 (*.f64 i (*.f64 i i)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 i n)))
#s(approx (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 n #s(literal 100 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i) i))) i) n)
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) #s(literal 100 binary64)))) n) i)
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 i (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n))) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (*.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (/.f64 (*.f64 #s(literal 10000 binary64) (*.f64 n n)) (*.f64 i i))) (/.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (*.f64 #s(literal 100 binary64) (neg.f64 n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i)))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) n) i)
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n) i) #s(literal 100 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) n) i)
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i)
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64))) i)
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n (*.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 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (neg.f64 n) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.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 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 #s(literal 100 binary64) i) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(+.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i)))
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) i))
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 (*.f64 #s(literal 100 binary64) n) #s(literal 1 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
(/.f64 (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i))) #s(literal -1000000 binary64) (*.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1000000 binary64) (*.f64 i (*.f64 i i))))) (fma.f64 (/.f64 (*.f64 n n) (*.f64 i i)) #s(literal 10000 binary64) (-.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (*.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.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 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i)))
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n)))) i) n)
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i)
(/.f64 #s(approx (+ (* n -100) (* n (* 100 (pow (+ (/ i n) 1) n)))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i)))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i)))))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)))
Calls

4 calls:

30.0ms
i
29.0ms
n
27.0ms
(*.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)))
26.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
78.2%2i
83.0%3n
83.7%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
83.7%4(/.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)

regimes36.0ms (0.3%)

Memory
3.2MiB live, 41.6MiB allocated
Counts
110 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)))))))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n)))
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)))) i)
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))))) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal -1 binary64) i) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))))
(fma.f64 n (/.f64 #s(literal -100 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(fma.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (* (pow (+ 1 (/ i n)) n) n) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -100 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 (*.f64 i #s(literal 100 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 100 binary64)))) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (neg.f64 (/.f64 i n)) i) (*.f64 i (neg.f64 (/.f64 i n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) i (*.f64 (neg.f64 (/.f64 i n)) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 (neg.f64 (/.f64 i n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 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 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (*.f64 (*.f64 i (*.f64 i i)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 i n)))
#s(approx (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 n #s(literal 100 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i) i))) i) n)
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) #s(literal 100 binary64)))) n) i)
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 i (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n))) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (*.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (/.f64 (*.f64 #s(literal 10000 binary64) (*.f64 n n)) (*.f64 i i))) (/.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (*.f64 #s(literal 100 binary64) (neg.f64 n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i)))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n)
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) n) i)
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n) i) #s(literal 100 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) n) i)
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i)
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64))) i)
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n (*.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 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (neg.f64 n) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.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 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 #s(literal 100 binary64) i) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(+.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i)))
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) i))
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 (*.f64 #s(literal 100 binary64) n) #s(literal 1 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
(/.f64 (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i))) #s(literal -1000000 binary64) (*.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1000000 binary64) (*.f64 i (*.f64 i i))))) (fma.f64 (/.f64 (*.f64 n n) (*.f64 i i)) #s(literal 10000 binary64) (-.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (*.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.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 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i)))
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n)))) i) n)
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i)
(/.f64 #s(approx (+ (* n -100) (* n (* 100 (pow (+ (/ i n) 1) n)))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)))
Calls

1 calls:

30.0ms
n
Results
AccuracySegmentsBranch
83.0%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes64.0ms (0.5%)

Memory
-9.8MiB live, 72.7MiB allocated
Counts
59 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)))))))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n)))
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)))) i)
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))))) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal -1 binary64) i) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))))
(fma.f64 n (/.f64 #s(literal -100 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(fma.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (* (pow (+ 1 (/ i n)) n) n) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -100 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 (*.f64 i #s(literal 100 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 100 binary64)))) n) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (neg.f64 (/.f64 i n)) i) (*.f64 i (neg.f64 (/.f64 i n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) i (*.f64 (neg.f64 (/.f64 i n)) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 (neg.f64 (/.f64 i n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 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 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (*.f64 (*.f64 i (*.f64 i i)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 i n)))
#s(approx (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 n #s(literal 100 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i) i))) i) n)
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) #s(literal 100 binary64)))) n) i)
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 i (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n))) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (*.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (/.f64 (*.f64 #s(literal 10000 binary64) (*.f64 n n)) (*.f64 i i))) (/.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (*.f64 #s(literal 100 binary64) (neg.f64 n))) i))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))))
Calls

4 calls:

17.0ms
n
15.0ms
i
15.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
13.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
63.0%2i
60.8%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)))
60.8%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
69.7%3n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes7.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)))))))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n)))
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)))) i)
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))))) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 100 binary64))) n)
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
Calls

1 calls:

6.0ms
n
Results
AccuracySegmentsBranch
69.7%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory
-32.8MiB live, 6.6MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)))))))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n)))
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)))) i)
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)))))))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)))))))
Calls

1 calls:

4.0ms
n
Results
AccuracySegmentsBranch
67.9%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i)
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i)
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
Calls

2 calls:

3.0ms
n
3.0ms
i
Results
AccuracySegmentsBranch
58.0%2i
64.2%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
Calls

4 calls:

2.0ms
n
2.0ms
i
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
53.9%3i
46.4%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
46.4%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
55.1%3n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes5.0ms (0%)

Memory
7.7MiB live, 7.7MiB 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) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
Outputs
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
Calls

4 calls:

1.0ms
n
1.0ms
i
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
15.7%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)))
15.7%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
15.7%1i
15.7%1n
Compiler

Compiled 38 to 22 computations (42.1% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
1.8128366743210555e-248
0.0ms
-1.709772437849487e-77
-5.6663525248717816e-80
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch99.0ms (0.8%)

Memory
-2.4MiB live, 80.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
1.860078591620279e-179
2.1532745950033538e-175
59.0ms
-2.008906573569237e-181
-4.860427162732191e-212
Samples
37.0ms99×2valid
22.0ms135×1valid
12.0ms215×0invalid
4.0ms70×0valid
Compiler

Compiled 450 to 298 computations (33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-pow: 28.0ms (46.8% of total)
ival-div: 11.0ms (18.4% of total)
adjust: 8.0ms (13.4% of total)
ival-add: 4.0ms (6.7% of total)
ival-mult: 4.0ms (6.7% of total)
ival-sub: 4.0ms (6.7% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.860078591620279e-179
2.1532745950033538e-175
1.0ms
-2.008906573569237e-181
-4.860427162732191e-212
Compiler

Compiled 362 to 243 computations (32.9% saved)

bsearch64.0ms (0.5%)

Memory
-4.0MiB live, 32.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.860078591620279e-179
2.1532745950033538e-175
59.0ms
-3.809145541066317e-152
-2.097424110076671e-164
Samples
26.0ms55×2valid
12.0ms75×1valid
7.0ms133×0invalid
2.0ms3valid
2.0ms27×0valid
Compiler

Compiled 486 to 321 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-pow: 23.0ms (56.8% of total)
ival-div: 7.0ms (17.3% of total)
adjust: 4.0ms (9.9% of total)
ival-mult: 3.0ms (7.4% of total)
ival-add: 2.0ms (4.9% of total)
ival-sub: 2.0ms (4.9% 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
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.860078591620279e-179
2.1532745950033538e-175
1.0ms
-3.809145541066317e-152
-2.097424110076671e-164
Compiler

Compiled 470 to 321 computations (31.7% saved)

bsearch2.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.860078591620279e-179
2.1532745950033538e-175
1.0ms
-3.809145541066317e-152
-2.097424110076671e-164
Compiler

Compiled 416 to 267 computations (35.8% saved)

bsearch52.0ms (0.4%)

Memory
-10.1MiB live, 25.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
48.0ms
2.429744987779017e-200
8.430179877592158e-195
1.0ms
-3.809145541066317e-152
-2.097424110076671e-164
Samples
21.0ms36×2valid
10.0ms71×1valid
5.0ms79×0invalid
3.0ms3valid
2.0ms33×0valid
Compiler

Compiled 343 to 224 computations (34.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-pow: 12.0ms (47% of total)
ival-div: 5.0ms (19.6% of total)
adjust: 3.0ms (11.7% of total)
ival-mult: 2.0ms (7.8% of total)
ival-sub: 2.0ms (7.8% of total)
ival-add: 1.0ms (3.9% 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
1.4MiB live, 1.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.429744987779017e-200
8.430179877592158e-195
1.0ms
-3.809145541066317e-152
-2.097424110076671e-164
Compiler

Compiled 267 to 186 computations (30.3% saved)

simplify15.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Algorithm
egg-herbie
Rules
42×*-commutative_binary64
20×neg-mul-1_binary64
14×unsub-neg_binary64
14×+-commutative_binary64
10×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119813
1145813
2154813
3164813
4180813
5201813
6203813
Stop Event
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 -1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 #s(literal 1 binary64) (/.f64 i n)) 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 n #s(literal 100 binary64))))))
(if (<=.f64 n #s(literal -5588894395395147/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i))))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)))))
(if (<=.f64 n #s(literal -5588894395395147/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)))))
(if (<=.f64 n #s(literal -6483618076376551/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))))))
(if (<=.f64 n #s(literal -6483618076376551/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 n #s(literal -6483618076376551/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))))))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)))))))))
(if (<=.f64 n #s(literal -6483618076376551/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 5391639299087083/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))))
(if (<=.f64 n #s(literal -6483618076376551/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) (if (<=.f64 n #s(literal 5391639299087083/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
Outputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i 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 #s(literal 1 binary64) (/.f64 i n)) 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 n #s(literal 100 binary64))))))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n)) #s(literal -1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 n (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i)) (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 n (log1p.f64 (/.f64 i 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 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i 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 n #s(literal 100 binary64))))))
(if (<=.f64 n #s(literal -5588894395395147/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i))))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)))))
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#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))

soundness773.0ms (5.9%)

Memory
-21.5MiB live, 177.6MiB allocated
Rules
11 436×lower-fma.f64
11 436×lower-fma.f32
11 188×lower-fma.f64
11 188×lower-fma.f32
8 430×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05153831
116243489
255233268
081372980
01044
01644
17344
257044
3735444
0866938
082511884
1264410955
0828710085
0116416049
1374114760
0861713713
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 940 to 423 computations (55% saved)

preprocess84.0ms (0.6%)

Memory
10.4MiB live, 63.4MiB allocated
Compiler

Compiled 798 to 230 computations (71.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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