Compound Interest

Time bar (total: 14.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze165.0ms (1.1%)

Memory
-27.7MiB live, 308.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
39.1%39%60.9%0.1%0%0%0%7
44.5%44.5%55.4%0.1%0%0%0%8
55.3%55%44.5%0.1%0%0.4%0%9
59.3%58.7%40.4%0.1%0%0.8%0%10
65.5%64.5%34%0.1%0%1.5%0%11
67.8%66.6%31.6%0.1%0%1.8%0%12
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample4.5s (31.2%)

Memory
58.0MiB live, 3 967.4MiB allocated
Samples
2.1s4 458×1valid
1.1s1 588×2valid
283.0ms2 154×0valid
231.0ms2 020×0invalid
50.0ms56×3valid
3.0ms25×1exit
Precisions
Click to see histograms. Total time spent on operations: 3.2s
ival-pow: 1.7s (54.5% of total)
ival-div: 753.0ms (23.6% of total)
adjust: 292.0ms (9.1% of total)
ival-add: 158.0ms (4.9% of total)
ival-mult: 119.0ms (3.7% of total)
ival-sub: 110.0ms (3.4% of total)
exact: 10.0ms (0.3% of total)
ival-true: 8.0ms (0.3% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

explain551.0ms (3.8%)

Memory
3.3MiB live, 345.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1740-0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
6360(2.9325935010390227e-222 -2.632343565452854e+95)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
310-5(1.1711069221933565e-52 -5.868251048891709e+268)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
20-2(-2829045969690.8696 -4.2778370938643384e-153)(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
00-0-n
00-0-(+.f64 #s(literal 1 binary64) (/.f64 i n))
00-0-#s(literal 1 binary64)
00-0-i
00-0-(/.f64 i n)
00-0-#s(literal 100 binary64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))cancellation1740
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1020
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u260
↳(/.f64 i n)underflow26
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue210
↳(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow32
↳(/.f64 i n)overflow21
↳(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow21
Confusion
Predicted +Predicted -
+1830
-2647
Precision
0.8755980861244019
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18300
-26047
Precision?
0.8755980861244019
Recall?
1.0
Freqs
test
numberfreq
047
1121
262
326
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
138.0ms280×1valid
125.0ms108×0valid
91.0ms122×2valid
2.0ms2×3valid
Compiler

Compiled 133 to 34 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 328.0ms
ival-pow: 195.0ms (59.4% of total)
ival-div: 58.0ms (17.7% of total)
ival-add: 33.0ms (10% of total)
adjust: 30.0ms (9.1% of total)
ival-sub: 6.0ms (1.8% of total)
ival-mult: 5.0ms (1.5% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess272.0ms (1.9%)

Memory
-16.0MiB live, 131.8MiB allocated
Algorithm
1×egg-herbie
Rules
1 792×lower-fma.f64
1 792×lower-fma.f32
1 490×div-sub
1 136×lower-*.f32
1 134×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02685
18281
224277
393477
4383277
5601477
01015
01615
13015
25615
310415
420315
546915
677915
7123615
8197915
9283415
10330615
11344715
12345715
13345815
14345815
15347815
16348615
17348615
0348614
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (/.f64 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶31.6%
(*.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)

simplify154.0ms (1.1%)

Memory
0.6MiB live, 74.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
cost-diff0
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
cost-diff128
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
cost-diff384
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Rules
1 792×lower-fma.f64
1 792×lower-fma.f32
1 136×lower-*.f32
1 134×lower-*.f64
654×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01056
01656
13056
25656
310456
420356
546956
677956
7123656
8197956
9283456
10330656
11344756
12345756
13345856
14345856
15347856
16348656
17348656
0348655
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)
i
n
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (/.f64 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

localize197.0ms (1.4%)

Memory
7.2MiB live, 207.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.11547750946961356
(*.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)))
accuracy6.793044472246712
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
accuracy14.09898306835076
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy39.70238736788082
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
Samples
151.0ms140×1valid
25.0ms61×2valid
7.0ms54×0valid
1.0ms1×3valid
Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-add: 70.0ms (44.3% of total)
ival-div: 39.0ms (24.7% of total)
ival-pow: 37.0ms (23.4% of total)
adjust: 5.0ms (3.2% of total)
ival-sub: 3.0ms (1.9% of total)
ival-mult: 3.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
-18.6MiB live, 60.5MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) (patch (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())
Outputs
#s(alt n (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i) (taylor -inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) (taylor -inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i)) (taylor -inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i)) (taylor -inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) (taylor 0 n) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) (taylor 0 n) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) (taylor 0 n) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
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Calls

24 calls:

TimeVariablePointExpression
8.0ms
i
@-inf
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
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
n
@inf
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
1.0ms
i
@0
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))

simplify455.0ms (3.1%)

Memory
-17.1MiB live, 437.0MiB allocated
Algorithm
1×egg-herbie
Rules
11 188×lower-fma.f64
11 188×lower-fma.f32
6 726×lower-*.f64
6 726×lower-*.f32
3 544×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05153831
116243489
255233268
081372980
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
Calls
Call 1
Inputs
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
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(* 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))

rewrite307.0ms (2.1%)

Memory
43.5MiB live, 426.8MiB allocated
Rules
4 646×lower-fma.f64
4 646×lower-fma.f32
3 878×lower-*.f32
3 876×lower-*.f64
3 404×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

eval135.0ms (0.9%)

Memory
-21.8MiB live, 223.1MiB allocated
Compiler

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

prune152.0ms (1%)

Memory
7.5MiB live, 279.5MiB allocated
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New56626592
Fresh000
Picked101
Done000
Total56726593
Accuracy
99.9%
Counts
593 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.2%
(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)))
31.6%
(+.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)))
31.6%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
31.8%
(*.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)
▶31.8%
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
▶28.1%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
28.1%
(*.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)))
27.5%
(*.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)))
15.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
16.4%
(*.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)))
▶79.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
▶39.5%
(*.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)))
41.8%
(*.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)))
15.2%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.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))))) (/.f64 i n)))
10.7%
(*.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)))
31.6%
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
31.8%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) n))
51.8%
(*.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)))
49.9%
(*.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)))
69.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i)))
10.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
68.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
10.6%
#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))
13.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (fma.f64 n (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))))
68.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 (/.f64 (*.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))))
▶47.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
Compiler

Compiled 968 to 608 computations (37.2% saved)

simplify263.0ms (1.8%)

Memory
39.6MiB live, 467.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
cost-diff128
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))
cost-diff1088
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n))
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
cost-diff0
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
cost-diff0
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i)
cost-diff128
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
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
17 160×lower-fma.f32
17 154×lower-fma.f64
3 428×lower-*.f32
3 414×lower-*.f64
2 838×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048409
084389
1168377
2404377
31063377
42929377
55770377
08354372
Stop Event
1×iter limit
1×node limit
1×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 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i)
(+.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
#s(literal -1 binary64)
(*.f64 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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) 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) 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(literal 100 binary64) (*.f64 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)) 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 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)) 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 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(/.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 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i)
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i)
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+.f64 (/.f64 i n) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 i n)
i
n
#s(literal -1 binary64)
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) 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) n)
(/.f64 #s(literal 1 binary64) i)
(/.f64 (neg.f64 n) i)
(/.f64 n (neg.f64 i))
(neg.f64 n)

localize316.0ms (2.2%)

Memory
-46.5MiB live, 490.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.09204000946961356
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
accuracy0.14291000976844204
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n))
accuracy14.098983068350766
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy34.5031410095951
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))
accuracy0.04296875
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i)
accuracy0.11328125
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
accuracy14.098983068350766
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy39.47461463871537
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
accuracy1.7910129744573875
(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)
accuracy4.871162836297812
(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)))
accuracy6.781325722246713
(/.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))
accuracy25.28621975997708
#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))
accuracy29.217634978156745
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
accuracy0.09204000946961356
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
accuracy5.108233791564387
(log1p.f64 (/.f64 i n))
accuracy6.781325722246713
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
accuracy6.887910420791275
(*.f64 n (log1p.f64 (/.f64 i n)))
Samples
176.0ms167×1valid
34.0ms33×2valid
12.0ms37×0valid
6.0ms18×0invalid
2.0ms1×5exit
Compiler

Compiled 356 to 46 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-div: 44.0ms (22.9% of total)
ival-pow: 44.0ms (22.9% of total)
adjust: 38.0ms (19.8% of total)
ival-mult: 29.0ms (15.1% of total)
ival-add: 14.0ms (7.3% of total)
const: 9.0ms (4.7% of total)
ival-log1p: 5.0ms (2.6% of total)
ival-sub: 4.0ms (2.1% of total)
ival-expm1: 3.0ms (1.6% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series59.0ms (0.4%)

Memory
5.9MiB live, 47.5MiB 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 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64))) (patch (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (patch (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) #<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>) () ())
#s(alt (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (patch (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) 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) (/.f64 #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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) #<representation binary64>) () ())
#s(alt (log1p.f64 (/.f64 i n)) (patch (log1p.f64 (/.f64 i n)) #<representation binary64>) () ())
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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>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (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 (+ (* 1/3 (/ (pow i 3) (pow n 2))) (+ (* (pow i 2) (+ 1/2 (* 1/6 i))) (/ (* (pow i 2) (- (* -1/2 i) 1/2)) n)))) (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 (* (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 (/ (* (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>) () ())) ())
#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)))
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) -1) i)
1.0ms
i
@inf
(+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i)
0.0ms
n
@0
(+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))

simplify402.0ms (2.8%)

Memory
-0.5MiB live, 349.1MiB allocated
Algorithm
1×egg-herbie
Rules
10 960×lower-fma.f64
10 960×lower-fma.f32
7 156×lower-+.f64
7 156×lower-+.f32
6 188×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098815901
1311914582
0865913440
Stop Event
1×iter limit
1×node limit
Counts
444 → 433
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))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
(* n (+ (log i) (* -1 (log n))))
(* n (+ (log i) (+ (* -1 (log n)) (/ n i))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))
i
(+ i (* -1/2 (/ (pow i 2) n)))
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(neg.f64 (*.f64 (*.f64 i (*.f64 i i)) (-.f64 (neg.f64 (+.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 (/.f64 #s(literal 1 binary64) i) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i))))
(* -1 (* (pow i 3) (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* -1 (/ (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))) i)))))
(neg.f64 (*.f64 (*.f64 i (*.f64 i i)) (-.f64 (neg.f64 (+.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 (/.f64 #s(literal 1 binary64) i) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i))))
(* 1/3 (/ (pow i 3) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n))
(/ (+ (* 1/3 (pow i 3)) (* (pow i 2) (* n (- (* -1/2 i) 1/2)))) (pow n 2))
(/.f64 (fma.f64 (*.f64 i i) (*.f64 n (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))
(/ (+ (* 1/3 (pow i 3)) (* n (+ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) (* (pow i 2) (- (* -1/2 i) 1/2))))) (pow n 2))
(/.f64 (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n))
(/ (+ (* 1/3 (pow i 3)) (* n (+ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) (* (pow i 2) (- (* -1/2 i) 1/2))))) (pow n 2))
(/.f64 (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i))) (*.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 (+ (* (pow i 2) (+ 1/2 (* 1/6 i))) (/ (* (pow i 2) (- (* -1/2 i) 1/2)) n)))
(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))))
(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)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n 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))))
(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)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n n)) i))
(+ 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)))))
(fma.f64 (*.f64 i i) (neg.f64 (/.f64 (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i))
(+ 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)))

rewrite307.0ms (2.1%)

Memory
34.8MiB live, 385.5MiB allocated
Rules
4 602×lower-/.f32
4 580×lower-/.f64
3 138×lower-*.f32
3 124×lower-*.f64
2 538×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048306
084276
1367274
23207274
08480269
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 941
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 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i)
(+.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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(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 (/.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)))) #s(literal 1 binary64)) (/.f64 (/.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)))) #s(literal 1 binary64)))
(-.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))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (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 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (neg.f64 (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 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))))
(-.f64 (/.f64 #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)) (+.f64 n n)) (-.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
(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 (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 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (neg.f64 (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)) (*.f64 n #s(literal 3 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 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 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 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (neg.f64 (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)) (*.f64 n #s(literal 3 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 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 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 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
(/.f64 (+.f64 #s(literal -1 binary64) (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 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
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(*.f64 (*.f64 (fma.f64 i (*.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) i) (fma.f64 i (*.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) (neg.f64 i))) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) (neg.f64 i))))

eval187.0ms (1.3%)

Memory
-12.3MiB live, 331.6MiB allocated
Compiler

Compiled 48 936 to 3 512 computations (92.8% saved)

prune285.0ms (2%)

Memory
1.9MiB live, 484.6MiB allocated
Pruning

53 alts after pruning (51 fresh and 2 done)

PrunedKeptTotal
New1 414401 454
Fresh101121
Picked325
Done000
Total1 427531 480
Accuracy
100.0%
Counts
1 480 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.2%
(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)))
▶27.9%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))))
27.9%
(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 (neg.f64 n) i)))
28.0%
(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 (neg.f64 n) i)))
27.6%
(fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))))
31.6%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
31.8%
(*.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)
8.2%
(*.f64 (/.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
▶78.7%
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (*.f64 n #s(literal 100 binary64)))
15.2%
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (*.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))))) i) (*.f64 n #s(literal 100 binary64)))
10.7%
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (*.f64 n #s(literal 100 binary64)))
15.7%
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i) (*.f64 n #s(literal 100 binary64)))
▶75.9%
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64)))
31.8%
(*.f64 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n))
31.8%
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal 100 binary64)))
31.8%
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) #s(literal 100 binary64)) n)
38.4%
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) i))) (/.f64 n i))
▶49.9%
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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))) (*.f64 n #s(literal 100 binary64)))
47.1%
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (fma.f64 i (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 (/.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))) (*.f64 n #s(literal 100 binary64)))
52.0%
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
10.6%
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) (*.f64 n #s(literal 100 binary64)))
28.1%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
13.1%
(*.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 (neg.f64 n) i)))
27.5%
(*.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)))
10.5%
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
12.7%
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (fma.f64 i (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
15.1%
(*.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)))
27.9%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) n) (*.f64 i (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i))) (/.f64 i n)))
16.2%
(*.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)))
15.7%
(*.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)))
✓79.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
39.3%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 i (*.f64 i i)) (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 i i) i))) (/.f64 i n)))
45.2%
(*.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)))
29.9%
(*.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 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))) (*.f64 n n))) i)) (/.f64 i n)))
31.2%
(*.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)))
10.7%
(*.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)))
4.0%
(*.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 (*.f64 i i) (*.f64 n (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)))
23.3%
(*.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 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n)))
11.0%
(*.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 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 i n)))
31.6%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i)))
49.9%
(*.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)))
52.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n)))
69.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i)))
10.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
44.8%
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
49.7%
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.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 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 n #s(literal 100 binary64))))
10.2%
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
75.8%
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
68.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
10.6%
#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))
✓47.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
44.9%
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
▶16.6%
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
Compiler

Compiled 2 149 to 1 313 computations (38.9% saved)

simplify538.0ms (3.7%)

Memory
-22.0MiB live, 237.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)))
cost-diff0
(neg.f64 n)
cost-diff0
(/.f64 (neg.f64 n) i)
cost-diff1152
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.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(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i)
cost-diff0
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64)))
cost-diff0
#s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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)))
cost-diff0
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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))) (*.f64 n #s(literal 100 binary64)))
cost-diff128
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) 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
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
cost-diff704
(/.f64 #s(literal 0 binary64) i)
cost-diff0
(*.f64 n (log1p.f64 (/.f64 i n)))
cost-diff0
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)
cost-diff128
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (*.f64 n #s(literal 100 binary64)))
cost-diff6272
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
Rules
19 206×lower-fma.f32
19 200×lower-fma.f64
3 802×lower-*.f32
3 786×lower-*.f64
1 994×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054354
088344
1171329
2391325
3888325
41994325
53638325
64739325
75367325
86456325
08270316
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)
(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
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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))) (*.f64 n #s(literal 100 binary64)))
#s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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)))
(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))
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)
#s(literal 1 binary64)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i)
#s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i))
(expm1.f64 i)
i
(*.f64 n #s(literal 100 binary64))
n
#s(literal 100 binary64)
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))))
(/.f64 (neg.f64 n) i)
(neg.f64 n)
n
i
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.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)
#s(literal 1 binary64)
(/.f64 n i)
Outputs
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (*.f64 n #s(literal 100 binary64)))
(/.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 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i)
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(*.f64 n (log1p.f64 (/.f64 i n)))
n
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 i (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 i (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(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))
(fma.f64 i (fma.f64 i #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 i (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
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 #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 i (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) #s(literal -1/2 binary64)) #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)))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) #s(literal 1/6 binary64))
(/.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)
#s(literal 1 binary64)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i)
#s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i))
(expm1.f64 i)
i
(*.f64 n #s(literal 100 binary64))
n
#s(literal 100 binary64)
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.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)
(/.f64 (neg.f64 n) i)
(/.f64 n (neg.f64 i))
(neg.f64 n)
n
i
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (*.f64 n #s(literal 100 binary64)) 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)
#s(literal 1 binary64)
(/.f64 n i)

localize355.0ms (2.4%)

Memory
40.5MiB live, 317.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))
accuracy0.10700123993272953
(*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)))
accuracy14.09898306835076
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy34.51987512280697
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))))
accuracy0
(expm1.f64 i)
accuracy0.04296875
(/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i)
accuracy0.11328125
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64)))
accuracy14.061688977362179
#s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i))
accuracy0.3069707881546256
(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))
accuracy0.8519463461046006
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
accuracy4.871162836297812
(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)))
accuracy26.575758734706753
#s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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)))
accuracy0
(/.f64 #s(literal 0 binary64) i)
accuracy48.82627803104968
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
accuracy0.04296875
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)
accuracy0.11328125
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (*.f64 n #s(literal 100 binary64)))
accuracy5.108233791564387
(log1p.f64 (/.f64 i n))
accuracy6.887910420791275
(*.f64 n (log1p.f64 (/.f64 i n)))
Samples
199.0ms168×1valid
66.0ms34×2valid
13.0ms35×0valid
7.0ms18×0invalid
3.0ms1×5exit
Compiler

Compiled 321 to 51 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 252.0ms
ival-pow: 101.0ms (40% of total)
ival-div: 49.0ms (19.4% of total)
ival-mult: 42.0ms (16.6% of total)
adjust: 20.0ms (7.9% of total)
ival-add: 19.0ms (7.5% of total)
const: 9.0ms (3.6% of total)
ival-expm1: 5.0ms (2% of total)
ival-log1p: 5.0ms (2% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory
-7.9MiB live, 64.9MiB allocated
Counts
23 → 492
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 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (*.f64 n #s(literal 100 binary64))) (patch (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (*.f64 n #s(literal 100 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) #<representation binary64>) () ())
#s(alt (*.f64 n (log1p.f64 (/.f64 i n))) (patch (*.f64 n (log1p.f64 (/.f64 i n))) #<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) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) (patch #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) #<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 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (patch (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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))) (*.f64 n #s(literal 100 binary64))) (patch (*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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))) (*.f64 n #s(literal 100 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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))) (patch #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64))) (patch (*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (patch (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) 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 (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)))) (patch (fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 n) i) (patch (/.f64 (neg.f64 n) i) #<representation binary64>) () ())
#s(alt (neg.f64 n) (patch (neg.f64 n) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))) (patch (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))) #<representation binary64>) () ())
#s(alt (log1p.f64 (/.f64 i n)) (patch (log1p.f64 (/.f64 i n)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())
#s(alt (fma.f64 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)) (patch (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)) #<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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (patch (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 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>) () ())) ())
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#s(alt (* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n))))) (taylor -inf n) (#s(alt (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (patch (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #<representation binary64>) () ())) ())
Calls

123 calls:

TimeVariablePointExpression
2.0ms
i
@inf
(+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i))))
0.0ms
n
@inf
(/ (neg n) i)
0.0ms
n
@0
(/ (neg n) i)
0.0ms
i
@0
(/ (neg n) i)
0.0ms
n
@0
(/ 1/3 (* n n))

simplify334.0ms (2.3%)

Memory
-20.6MiB live, 500.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 236×lower-fma.f64
11 236×lower-fma.f32
7 140×lower-+.f64
7 140×lower-+.f32
5 836×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104715112
1324913881
0870112812
Stop Event
1×iter limit
1×node limit
Counts
492 → 486
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)
(* 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)
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(* 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)))))
Outputs
(* n (+ (log i) (* -1 (log n))))
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(*.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))))
(* 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)))))))
(*.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))))
(* 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)))))))
(*.f64 n (fma.f64 n (fma.f64 n (+.f64 (-.f64 (fma.f64 n (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) (/.f64 #s(literal 1/3 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 1/2 binary64) (*.f64 i i)))) (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))))
(- (exp i) 1)
(expm1.f64 i)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i (exp.f64 i)) i) n) (expm1.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)))) 1)
(+.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 n n)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i (exp.f64 i)) i)) n)) (expm1.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))))) 1)
(+.f64 (fma.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 n n)) (/.f64 (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 n (*.f64 n n)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i (exp.f64 i)) i)) n)) (expm1.f64 i))
(- (exp i) 1)
(expm1.f64 i)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i (exp.f64 i)) i) n) (expm1.f64 i))
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i (exp.f64 i)) i)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64))))) n)) (neg.f64 n)) (expm1.f64 i))
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i (exp.f64 i)) i)) (/.f64 (fma.f64 (exp.f64 i) (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 (*.f64 (neg.f64 (exp.f64 i)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64))))) n)) n)) (neg.f64 n)) (expm1.f64 i))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 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) n))) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 i i) (fma.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (fma.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (/.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))) i)
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
(expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)
(+.f64 (fma.f64 (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 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n)))) (*.f64 i i)) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)
(+.f64 (fma.f64 (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 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n)))) (*.f64 i i)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64))))) (*.f64 i (*.f64 i i)))) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
(expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) 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)) 1)
(fma.f64 (*.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) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) 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))) 1)
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 n n (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n)))) i))) i) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) 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)
(+.f64 (/.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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.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 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64)))) i)))) i))) (neg.f64 i)) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) 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 (*.f64 n n) #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 (*.f64 n #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)))) (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (log.f64 i) (log.f64 n))) 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 n (fma.f64 (*.f64 n #s(literal 100 binary64)) (+.f64 (fma.f64 n (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) (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 (/.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 #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 50 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))))) (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (log.f64 i) (log.f64 n))) i)))
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.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)))))
(*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 i (*.f64 n n))) (/.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) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
(*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 i (*.f64 n n))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 i (*.f64 n (*.f64 n n))))) (/.f64 (expm1.f64 i) i)) (/.f64 (*.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i))) n)))
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) 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 (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 n n (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n)))) i))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
(-.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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.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 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 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 (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 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) (/.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 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 n n)) (fma.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) (/.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 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 n n)) (/.f64 (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 n (*.f64 n n)))) (fma.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) (/.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 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) (/.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 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i (exp.f64 i)) i)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 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 (*.f64 i (exp.f64 i)) i)) (/.f64 (fma.f64 (exp.f64 i) (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 (*.f64 (neg.f64 (exp.f64 i)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64))))) n)) n)) n))
(/ n i)
(/.f64 n i)
(/ (+ n (* i n)) i)
(/.f64 (fma.f64 n i n) i)
(/ (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) i)
(/.f64 (fma.f64 i (fma.f64 (*.f64 n i) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) 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)
(/.f64 (fma.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 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))))) n) n) i)
(/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)
(/.f64 (*.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) 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)
(/.f64 (fma.f64 n (exp.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)
(/ (+ (* 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)
(/.f64 (fma.f64 n (+.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n))))) (*.f64 i i))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) 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)
(/.f64 (fma.f64 n (exp.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 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n)))) (*.f64 i i)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 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)
(/ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)
(*.f64 n (/.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) 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))
(neg.f64 (/.f64 (neg.f64 (fma.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.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))) 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))
(neg.f64 (/.f64 (neg.f64 (fma.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 n (*.f64 (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 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n)))) 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))) 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))
(/.f64 (neg.f64 (fma.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (-.f64 (*.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 (*.f64 (neg.f64 n) (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.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 (*.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64)))))) i)) i)) i))) (neg.f64 i))
(/ n i)
(/.f64 n i)
(* n (+ (* n (+ (* -1 (/ (log n) i)) (/ (log i) i))) (/ 1 i)))
(*.f64 n (fma.f64 n (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)) (/.f64 #s(literal 1 binary64) 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)))
(*.f64 n (fma.f64 n (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) i) (/.f64 (log.f64 n) i))) (/.f64 #s(literal 1 binary64) 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)))
(*.f64 n (fma.f64 n (fma.f64 n (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)))) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 #s(literal 1 binary64) i)))
(/ (* n (exp i)) i)
(*.f64 n (/.f64 (exp.f64 i) i))
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)))
(*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (/.f64 (exp.f64 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))))))
(*.f64 n (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 i (*.f64 n n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (/.f64 (exp.f64 i) 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)))))))
(*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 i (*.f64 n n))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 i (*.f64 n (*.f64 n n))))) (/.f64 (exp.f64 i) i))))
(/ (* n (exp i)) i)
(*.f64 n (/.f64 (exp.f64 i) i))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* 1/2 (/ (* i (exp i)) n)))))
(*.f64 (neg.f64 n) (-.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 (exp.f64 i) n)) (/.f64 (exp.f64 i) i)))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)))))
(neg.f64 (*.f64 n (-.f64 (neg.f64 (/.f64 (exp.f64 i) i)) (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 n i)) (*.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)))) 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)))))
(neg.f64 (*.f64 n (-.f64 (neg.f64 (/.f64 (exp.f64 i) i)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i))) (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64)))) (*.f64 n i)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64))))) (neg.f64 i))) n)) n))))

rewrite541.0ms (3.7%)

Memory
-143.1MiB live, 375.5MiB allocated
Rules
3 990×lower-/.f32
3 976×lower-/.f64
3 386×lower-*.f32
3 370×lower-*.f64
3 138×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054295
088280
1393274
23415266
08497261
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 679
Calls
Call 1
Inputs
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)
(*.f64 n (log1p.f64 (/.f64 i n)))
(/.f64 #s(literal 0 binary64) i)
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) 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(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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))) (*.f64 n #s(literal 100 binary64)))
#s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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)))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i)
#s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i))
(expm1.f64 i)
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))))
(/.f64 (neg.f64 n) i)
(neg.f64 n)
(*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)))
(log1p.f64 (/.f64 i n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(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))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 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))))
(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 (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) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.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)))) 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 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #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) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.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)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #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) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #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 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (neg.f64 (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)) (*.f64 n #s(literal 3 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 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 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 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (neg.f64 (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)) (*.f64 n #s(literal 3 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 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 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 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
(/.f64 (+.f64 #s(literal -1 binary64) (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 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (neg.f64 (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) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))))) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 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 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (neg.f64 (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 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n))) (-.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 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)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)))) (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (neg.f64 (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)) (*.f64 n #s(literal 3 binary64))))) #s(literal -1 binary64))
(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 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 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 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 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 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (neg.f64 (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 n #s(literal 100 binary64)) (/.f64 i (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64))))))
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (neg.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64)))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) #s(literal 1 binary64)) (/.f64 i (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (neg.f64 i))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 n #s(literal 100 binary64))) (/.f64 i (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))
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eval164.0ms (1.1%)

Memory
20.2MiB live, 208.1MiB allocated
Compiler

Compiled 38 648 to 3 658 computations (90.5% saved)

prune251.0ms (1.7%)

Memory
9.7MiB live, 372.7MiB allocated
Pruning

49 alts after pruning (44 fresh and 5 done)

PrunedKeptTotal
New1 144211 165
Fresh232346
Picked235
Done022
Total1 169491 218
Accuracy
100.0%
Counts
1 218 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.2%
(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)))
✓27.9%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))))
▶9.9%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i))))
12.9%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i))))
12.6%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) #s(approx (* 100 (* (pow (+ (/ i n) 1) n) (/ n i))) (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
▶27.3%
(fma.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
28.0%
(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 (neg.f64 n) i)))
27.6%
(fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))))
31.6%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
31.8%
(*.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)
31.8%
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i) #s(literal 100 binary64))
8.2%
(*.f64 (/.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
✓78.7%
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (*.f64 n #s(literal 100 binary64)))
64.9%
(*.f64 (/.f64 (expm1.f64 (*.f64 n #s(approx (log (+ 1 (/ i n))) (/.f64 i n)))) i) (*.f64 n #s(literal 100 binary64)))
15.7%
(*.f64 (/.f64 (expm1.f64 (*.f64 n #s(approx (log (+ 1 (/ i n))) (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i) (*.f64 n #s(literal 100 binary64)))
15.2%
(*.f64 (/.f64 #s(approx (- (exp (* n (log (+ 1 (/ i n))))) 1) (*.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))))) i) (*.f64 n #s(literal 100 binary64)))
10.7%
(*.f64 (/.f64 #s(approx (- (exp (* n (log (+ 1 (/ i n))))) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (*.f64 n #s(literal 100 binary64)))
✓75.9%
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64)))
56.4%
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #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 n #s(literal 100 binary64)))
55.3%
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i))) i) (*.f64 n #s(literal 100 binary64)))
31.8%
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal 100 binary64)))
31.8%
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) #s(literal 100 binary64)) n)
▶64.3%
(*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n i)) #s(literal 100 binary64))
38.4%
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) i))) (/.f64 n i))
55.0%
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 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))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
30.8%
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* 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))) (*.f64 n n))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
55.1%
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n))) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 n)))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
10.6%
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) (*.f64 n #s(literal 100 binary64)))
30.1%
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) #s(approx (+ (* i (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n)))) 1) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n)))) (*.f64 n #s(literal 100 binary64)))
13.1%
(*.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 (neg.f64 n) i)))
15.1%
(*.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)))
27.9%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) n) (*.f64 i (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i))) (/.f64 i n)))
16.2%
(*.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)))
15.7%
(*.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)))
✓79.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
10.7%
(*.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)))
23.3%
(*.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 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n)))
31.6%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i)))
52.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n)))
10.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
44.8%
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
44.9%
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
68.9%
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i))
49.7%
#s(approx (* (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) i) (* n 100)) (fma.f64 (*.f64 i #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 n #s(literal 100 binary64))))
10.6%
#s(approx (* (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) i) (* n 100)) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i))
10.2%
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
▶75.8%
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
✓47.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
▶16.6%
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
Compiler

Compiled 1 758 to 1 075 computations (38.9% saved)

simplify245.0ms (1.7%)

Memory
-41.1MiB live, 92.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
cost-diff0
(/.f64 n i)
cost-diff128
(*.f64 #s(literal 100 binary64) (neg.f64 n))
cost-diff1024
(fma.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.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(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n i))
cost-diff0
(*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n i)) #s(literal 100 binary64))
cost-diff0
(neg.f64 n)
cost-diff0
(/.f64 (neg.f64 n) i)
cost-diff192
(/.f64 (fma.f64 n i n) i)
cost-diff320
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i))))
cost-diff0
#s(approx (/ 0 i) #s(literal 0 binary64))
cost-diff0
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
cost-diff0
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
cost-diff0
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
cost-diff0
(*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
cost-diff0
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
Rules
6 452×lower-fma.f32
6 446×lower-fma.f64
3 976×lower-*.f32
3 962×lower-*.f64
1 904×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051280
076272
1142264
2268261
3487261
4972261
51813261
62855257
73775257
84801257
95926257
106399257
116435257
126453257
136478257
147502257
08109254
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
(*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
n
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
#s(literal 100 binary64)
(expm1.f64 i)
i
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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)
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i))))
(/.f64 (neg.f64 n) i)
(neg.f64 n)
n
i
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i)))
#s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i))
(/.f64 (fma.f64 n i n) i)
(fma.f64 n i n)
(*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n i)) #s(literal 100 binary64))
(*.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 n i)
n
#s(literal 100 binary64)
(fma.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(/.f64 n i)
n
i
(*.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)
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i)
(*.f64 #s(literal 100 binary64) (neg.f64 n))
(neg.f64 n)
Outputs
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i))
(*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
n
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
#s(literal 100 binary64)
(expm1.f64 i)
i
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (/ 0 i) #s(literal 0 binary64))
#s(literal 0 binary64)
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i))))
(*.f64 #s(literal 100 binary64) (-.f64 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (+.f64 n (/.f64 n i))) (/.f64 n i)))
(/.f64 (neg.f64 n) i)
(/.f64 n (neg.f64 i))
(neg.f64 n)
n
i
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i)))
(*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (+.f64 n (/.f64 n i))))
#s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i))
#s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (+.f64 n (/.f64 n i)))
(/.f64 (fma.f64 n i n) i)
(+.f64 n (/.f64 n i))
(fma.f64 n i n)
(fma.f64 i n n)
(*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(*.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 n i)
n
#s(literal 100 binary64)
(fma.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.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 i)
n
i
(*.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)
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i)
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(*.f64 #s(literal 100 binary64) (neg.f64 n))
(*.f64 n #s(literal -100 binary64))
(neg.f64 n)

localize262.0ms (1.8%)

Memory
-2.8MiB live, 74.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
accuracy0.1953125
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i)
accuracy14.09898306835076
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy35.17837649551695
(fma.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
accuracy0
(expm1.f64 i)
accuracy0.11547750946961356
(*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n i)) #s(literal 100 binary64))
accuracy7.541872155430604
(*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n i))
accuracy18.532440590349026
#s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i))
accuracy0.10700123993272953
(*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i)))
accuracy8.959980161039192
(/.f64 (fma.f64 n i n) i)
accuracy28.605645520345966
#s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i))
accuracy34.778918267836715
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i))))
accuracy0
#s(approx (/ 0 i) #s(literal 0 binary64))
accuracy53.400674130137766
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
accuracy0.0234375
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
accuracy0.05859375
(*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
accuracy0.1015625
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
accuracy15.354976657471454
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
Samples
155.0ms167×1valid
36.0ms36×2valid
16.0ms53×0valid
Compiler

Compiled 249 to 45 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-pow: 64.0ms (35.8% of total)
ival-mult: 53.0ms (29.7% of total)
ival-div: 30.0ms (16.8% of total)
adjust: 14.0ms (7.8% of total)
ival-add: 14.0ms (7.8% of total)
ival-expm1: 2.0ms (1.1% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series35.0ms (0.2%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
22 → 456
Calls
Call 1
Inputs
#s(alt #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) #<representation binary64>) () ())
#s(alt (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) (patch (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i) (patch (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (patch (*.f64 #s(literal 100 binary64) (expm1.f64 i)) #<representation binary64>) () ())
#s(alt #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (patch #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i)))) (patch (fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 n i n) i) (patch (/.f64 (fma.f64 n i n) i) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 n) i) (patch (/.f64 (neg.f64 n) i) #<representation binary64>) () ())
#s(alt (neg.f64 n) (patch (neg.f64 n) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n i)) #s(literal 100 binary64)) (patch (*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n i)) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n i)) (patch (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n 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 (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i)) (patch (fma.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (neg.f64 n)) (patch (*.f64 #s(literal 100 binary64) (neg.f64 n)) #<representation binary64>) () ())
#s(alt (/.f64 n i) (patch (/.f64 n i) #<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 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i)) (patch #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i))) (patch (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (patch (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i) (patch (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i) #<representation binary64>) () ())
Outputs
#s(alt (* 100 n) (taylor 0 i) (#s(alt #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) (taylor 0 i) (#s(alt #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (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 (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) (taylor inf i) (#s(alt #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) (taylor inf i) (#s(alt #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) (taylor inf i) (#s(alt #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) (taylor inf i) (#s(alt #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) (taylor -inf i) (#s(alt #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (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 (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (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 (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) (taylor -inf i) (#s(alt #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) (taylor 0 n) (#s(alt #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (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 (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (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 (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (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 (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf n) (#s(alt #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (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 (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (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 (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (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 (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor -inf n) (#s(alt #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (patch #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) #<representation binary64>) () ())) ())
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Calls

114 calls:

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

simplify311.0ms (2.1%)

Memory
-9.9MiB live, 266.3MiB allocated
Algorithm
1×egg-herbie
Rules
12 338×lower-fma.f64
12 338×lower-fma.f32
6 666×lower-*.f64
6 666×lower-*.f32
6 048×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089011974
1286110983
0833910134
Stop Event
1×iter limit
1×node limit
Counts
456 → 451
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)
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (exp i)))
(/ 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)))))
(* 100 (/ n i))
(/ (+ (* 100 n) (* 100 (* i n))) i)
(/ (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/ (+ (* 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 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(/ (+ (* 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 (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 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(* 100 (/ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) 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))) 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))) 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))) i))
(* 100 (/ n i))
(* n (+ (* 100 (* n (+ (* -1 (/ (log n) i)) (/ (log i) i)))) (* 100 (/ 1 i))))
(* n (+ (* n (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))))) (* 100 (/ 1 i))))
(* n (+ (* n (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) (* 100 (/ 1 i))))
(* 100 (/ (* n (exp i)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) 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)))))))
(* 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 (/ (* n (exp i)) i))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* 50 (/ (* i (exp i)) n)))))
(* -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)))))
(* -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)))))
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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 n i) (*.f64 n (-.f64 #s(literal 1/2 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 #s(literal 100 binary64) n (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.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 i) (*.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)))))))))
(* 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 n (*.f64 (*.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 (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (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 (*.f64 n (*.f64 (*.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) (fma.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.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 (*.f64 n (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))) i)) (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))) 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 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (*.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)))) 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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(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
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(-.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i (exp.f64 i))) (/.f64 (*.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)))) (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 (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))
(* -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)

rewrite273.0ms (1.9%)

Memory
3.5MiB live, 324.6MiB allocated
Rules
7 486×lower-fma.f32
7 480×lower-fma.f64
4 856×lower-/.f32
4 844×lower-/.f64
4 758×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051247
076242
1310233
22467229
09116225
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 567
Calls
Call 1
Inputs
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
(*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i))))
(/.f64 (fma.f64 n i n) i)
(/.f64 (neg.f64 n) i)
(neg.f64 n)
(*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n i)) #s(literal 100 binary64))
(*.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)
(fma.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(*.f64 #s(literal 100 binary64) (neg.f64 n))
(/.f64 n i)
(*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
#s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i))
(*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) i)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i)
Outputs
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))) (/.f64 (neg.f64 n) (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))))))
(/.f64 (neg.f64 n) (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(/.f64 (neg.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i)))) (neg.f64 i))
(/.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal -100 binary64))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64)) n) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal -100 binary64)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64)) n)) (neg.f64 (neg.f64 i)))
(pow.f64 (/.f64 i (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))) #s(literal -1 binary64))
(*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 n i))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i) n)
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 n (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(*.f64 (/.f64 n i) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(*.f64 (/.f64 n i) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) #s(literal 1 binary64)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (/.f64 (expm1.f64 i) #s(literal 1 binary64)))
(*.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (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) (expm1.f64 i)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i)))
(neg.f64 (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i)))
(neg.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64)) i))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(/.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64)) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) #s(literal 1 binary64)) i)
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64)))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) #s(literal 1 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) #s(literal -1 binary64))) (neg.f64 (neg.f64 i)))
(pow.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(*.f64 (expm1.f64 i) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 100 binary64) (expm1.f64 i)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) #s(literal -1 binary64)))
(*.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 (expm1.f64 i)) i))
(*.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (expm1.f64 i) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 i) #s(literal -1 binary64)) (/.f64 #s(literal -100 binary64) i))
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) i))
(+.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) #s(literal -100 binary64))
(+.f64 (*.f64 (exp.f64 i) #s(literal 100 binary64)) #s(literal -100 binary64))
(fma.f64 #s(literal 100 binary64) (exp.f64 i) #s(literal -100 binary64))
(fma.f64 (exp.f64 i) #s(literal 100 binary64) #s(literal -100 binary64))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (+.f64 i i))) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (+.f64 i i)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) #s(literal 3 binary64)) #s(literal -1000000 binary64)) (fma.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (*.f64 #s(literal 100 binary64) (exp.f64 i)) (-.f64 #s(literal 10000 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) #s(literal -100 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 i) #s(literal 100 binary64)) #s(literal 3 binary64)) #s(literal -1000000 binary64)) (fma.f64 (*.f64 (exp.f64 i) #s(literal 100 binary64)) (*.f64 (exp.f64 i) #s(literal 100 binary64)) (-.f64 #s(literal 10000 binary64) (*.f64 (*.f64 (exp.f64 i) #s(literal 100 binary64)) #s(literal -100 binary64)))))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (/.f64 (expm1.f64 (+.f64 i i)) #s(literal 1 binary64)))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (/ 0 i) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(+.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(-.f64 (*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (-.f64 (/.f64 n (neg.f64 i)) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i)) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))) (-.f64 (/.f64 n (neg.f64 i)) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))))
(-.f64 (/.f64 (*.f64 #s(literal 10000 binary64) (*.f64 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i)) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i)))) (-.f64 (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))) (/.f64 (*.f64 n #s(literal -100 binary64)) i))) (/.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 i i)) #s(literal 10000 binary64)) (-.f64 (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))) (/.f64 (*.f64 n #s(literal -100 binary64)) i))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(fma.f64 n (/.f64 #s(literal -100 binary64) i) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(fma.f64 #s(literal 100 binary64) (/.f64 n (neg.f64 i)) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(fma.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i)) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal -100 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 n #s(literal -100 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(fma.f64 (neg.f64 n) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(fma.f64 (neg.f64 n) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(fma.f64 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i)) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(fma.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
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#s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))
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(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
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(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 1 binary64)) n)
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) (neg.f64 n))
(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))
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(*.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 1/2 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 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) n))
(*.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 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) n))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n))
(*.f64 (pow.f64 (+.f64 #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) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 #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)))))
(*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 #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) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 #s(literal 2 binary64) (*.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)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 n #s(literal -100 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
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(neg.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(neg.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n #s(literal -100 binary64))))
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(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(*.f64 n (/.f64 #s(literal -100 binary64) i))
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(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal -100 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 n #s(literal -100 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 n) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))
(*.f64 (neg.f64 n) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)))
(*.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i))
(*.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64))
(*.f64 (/.f64 n i) #s(literal -100 binary64))
(*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) #s(literal 1 binary64))
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) i))
(*.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 n #s(literal 100 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -100 binary64) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (neg.f64 n) #s(literal 1 binary64)))
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i))
(*.f64 (/.f64 #s(literal -100 binary64) i) n)
(*.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) i))

eval132.0ms (0.9%)

Memory
33.3MiB live, 185.6MiB allocated
Compiler

Compiled 29 316 to 2 628 computations (91% saved)

prune245.0ms (1.7%)

Memory
1.6MiB live, 238.7MiB allocated
Pruning

55 alts after pruning (48 fresh and 7 done)

PrunedKeptTotal
New1 131201 151
Fresh112839
Picked235
Done145
Total1 145551 200
Accuracy
100.0%
Counts
1 200 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n (*.f64 n n) (*.f64 (*.f64 i n) (*.f64 i (*.f64 i (*.f64 n n))))) (*.f64 i (fma.f64 n (-.f64 n (*.f64 i n)) (*.f64 i (*.f64 i (*.f64 n n)))))))))
8.0%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (*.f64 (fma.f64 i n n) (-.f64 (*.f64 i n) n)) (*.f64 i (-.f64 (*.f64 i n) n))))))
12.9%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i))))
12.6%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) #s(approx (* 100 (* (pow (+ (/ i n) 1) n) (/ n i))) (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
27.1%
(fma.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
13.0%
(fma.f64 (/.f64 n i) #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
12.4%
(fma.f64 (/.f64 n i) #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
27.6%
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
27.4%
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal -100 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
28.0%
(fma.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n (/.f64 (*.f64 n #s(literal -100 binary64)) i))
28.0%
(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 (neg.f64 n) i)))
15.9%
(/.f64 (fma.f64 (*.f64 n #s(literal -100 binary64)) i (*.f64 i (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64)))) (*.f64 i i))
31.6%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
31.8%
(*.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)
31.8%
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i) #s(literal 100 binary64))
8.2%
(*.f64 (/.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
✓78.7%
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (*.f64 n #s(literal 100 binary64)))
64.9%
(*.f64 (/.f64 (expm1.f64 (*.f64 n #s(approx (log (+ 1 (/ i n))) (/.f64 i n)))) i) (*.f64 n #s(literal 100 binary64)))
15.7%
(*.f64 (/.f64 (expm1.f64 (*.f64 n #s(approx (log (+ 1 (/ i n))) (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i) (*.f64 n #s(literal 100 binary64)))
15.2%
(*.f64 (/.f64 #s(approx (- (exp (* n (log (+ 1 (/ i n))))) 1) (*.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))))) i) (*.f64 n #s(literal 100 binary64)))
10.7%
(*.f64 (/.f64 #s(approx (- (exp (* n (log (+ 1 (/ i n))))) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (*.f64 n #s(literal 100 binary64)))
✓75.9%
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64)))
31.8%
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal 100 binary64)))
31.8%
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) #s(literal 100 binary64)) n)
10.7%
(*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 n i)) #s(literal 100 binary64))
64.1%
(*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) n))) #s(literal 100 binary64))
✓64.3%
(*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n i)) #s(literal 100 binary64))
44.6%
(*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #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))) (/.f64 n i)) #s(literal 100 binary64))
38.4%
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) i))) (/.f64 n i))
30.8%
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* 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))) (*.f64 n n))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
55.1%
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n))) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 n)))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
10.2%
(*.f64 #s(approx (* (+ (pow (+ 1 (/ i n)) n) -1) (/ n i)) (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i)) #s(literal 100 binary64))
13.1%
(*.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 (neg.f64 n) i)))
15.1%
(*.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)))
27.9%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) n) (*.f64 i (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i))) (/.f64 i n)))
16.2%
(*.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)))
15.7%
(*.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)))
✓79.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
10.7%
(*.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)))
23.3%
(*.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 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n)))
31.6%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i)))
12.2%
(*.f64 #s(literal 100 binary64) (+.f64 (/.f64 n (neg.f64 i)) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
52.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n)))
44.8%
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
44.7%
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i))
10.6%
#s(approx (* (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) i) (* n 100)) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i))
64.1%
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 (/.f64 n i) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) (expm1.f64 i))))))
10.2%
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
✓75.8%
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
56.4%
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
55.0%
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))
52.1%
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
55.1%
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) #s(approx (* n (/ (* 100 (- (exp i) 1)) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)))))))
✓47.4%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
✓16.6%
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
Compiler

Compiled 2 949 to 997 computations (66.2% saved)

regimes111.0ms (0.8%)

Memory
5.1MiB live, 78.9MiB allocated
Counts
108 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) #s(approx (* n (/ (* 100 (- (exp i) 1)) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)))))))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 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))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
(*.f64 (/.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 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 (-.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 (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.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 (/.f64 n i) #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) #s(approx (* 100 (* (pow (+ (/ i n) 1) n) (/ n i))) (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (+.f64 (/.f64 n (neg.f64 i)) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 n i) #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) 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) -1) #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))) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #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 n #s(literal 100 binary64)))
(*.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 (neg.f64 n) i)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n))) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 n)))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* 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))) (*.f64 n n))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (fma.f64 i (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (*.f64 (fma.f64 i n n) (-.f64 (*.f64 i n) n)) (*.f64 i (-.f64 (*.f64 i n) 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)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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))) (*.f64 n #s(literal 100 binary64)))
(*.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(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) #s(approx (+ (* i (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n)))) 1) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n)))) (*.f64 n #s(literal 100 binary64)))
(*.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 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 i n)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.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 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 n #s(literal 100 binary64))))
#s(approx (* (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) i) (* n 100)) (fma.f64 (*.f64 i #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 n #s(literal 100 binary64))))
(*.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 (*.f64 i i) (*.f64 n (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 #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 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))) (*.f64 n n))) i)) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) i))) (/.f64 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) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 i (*.f64 i i)) (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 i i) i))) (/.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 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n (*.f64 n n) (*.f64 (*.f64 i n) (*.f64 i (*.f64 i (*.f64 n n))))) (*.f64 i (fma.f64 n (-.f64 n (*.f64 i n)) (*.f64 i (*.f64 i (*.f64 n n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) 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(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (fma.f64 i (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 (/.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))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 n #s(approx (log (+ 1 (/ i n))) (/.f64 i n)))) i) (*.f64 n #s(literal 100 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)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) n))
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i) #s(literal 100 binary64))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 (/.f64 n i) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) (expm1.f64 i))))))
(*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) n))) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i)))
(*.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 (neg.f64 n) i)))
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal 100 binary64)))
(*.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 (*.f64 (/.f64 #s(literal 100 binary64) i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
(fma.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (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 (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)))
(fma.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 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)))
(/.f64 (fma.f64 (*.f64 n #s(literal -100 binary64)) i (*.f64 i (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64)))) (*.f64 i i))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal -100 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
(fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 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 (neg.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 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) n) (*.f64 i (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i))) (/.f64 i n)))
#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))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
#s(approx (* (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) i) (* n 100)) (/.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 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(*.f64 #s(approx (* (+ (pow (+ 1 (/ i n)) n) -1) (/ n i)) (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i)) #s(literal 100 binary64))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 #s(approx (- (exp (* n (log (+ 1 (/ i n))))) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (*.f64 n #s(literal 100 binary64)))
(*.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 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 (/.f64 (*.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 n #s(approx (log (+ 1 (/ i n))) (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (*.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))))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 #s(approx (- (exp (* n (log (+ 1 (/ i n))))) 1) (*.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))))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.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))))) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (fma.f64 n (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))))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
Calls

4 calls:

31.0ms
n
26.0ms
i
26.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
22.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
90.0%4i
89.7%3n
95.4%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
95.4%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes61.0ms (0.4%)

Memory
-27.3MiB live, 68.4MiB allocated
Counts
101 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) #s(approx (* n (/ (* 100 (- (exp i) 1)) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)))))))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 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))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
(*.f64 (/.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 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 (-.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 (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.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 (/.f64 n i) #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) #s(approx (* 100 (* (pow (+ (/ i n) 1) n) (/ n i))) (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (+.f64 (/.f64 n (neg.f64 i)) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 n i) #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) 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) -1) #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))) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #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 n #s(literal 100 binary64)))
(*.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 (neg.f64 n) i)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n))) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 n)))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* 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))) (*.f64 n n))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (fma.f64 i (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (*.f64 (fma.f64 i n n) (-.f64 (*.f64 i n) n)) (*.f64 i (-.f64 (*.f64 i n) 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)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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))) (*.f64 n #s(literal 100 binary64)))
(*.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(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) #s(approx (+ (* i (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n)))) 1) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n)))) (*.f64 n #s(literal 100 binary64)))
(*.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 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 i n)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.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 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 n #s(literal 100 binary64))))
#s(approx (* (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) i) (* n 100)) (fma.f64 (*.f64 i #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 n #s(literal 100 binary64))))
(*.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 (*.f64 i i) (*.f64 n (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 #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 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))) (*.f64 n n))) i)) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) i))) (/.f64 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) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 i (*.f64 i i)) (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 i i) i))) (/.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 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n (*.f64 n n) (*.f64 (*.f64 i n) (*.f64 i (*.f64 i (*.f64 n n))))) (*.f64 i (fma.f64 n (-.f64 n (*.f64 i n)) (*.f64 i (*.f64 i (*.f64 n n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) 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(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (fma.f64 i (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 (/.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))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 n #s(approx (log (+ 1 (/ i n))) (/.f64 i n)))) i) (*.f64 n #s(literal 100 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)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) n))
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i) #s(literal 100 binary64))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 (/.f64 n i) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) (expm1.f64 i))))))
(*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) n))) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i)))
(*.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 (neg.f64 n) i)))
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal 100 binary64)))
(*.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 (*.f64 (/.f64 #s(literal 100 binary64) i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n (/.f64 (*.f64 n #s(literal -100 binary64)) i))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
(fma.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (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 (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)))
(fma.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 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)))
(/.f64 (fma.f64 (*.f64 n #s(literal -100 binary64)) i (*.f64 i (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64)))) (*.f64 i i))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal -100 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
(fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 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 (neg.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 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) n) (*.f64 i (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i))) (/.f64 i n)))
#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))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
#s(approx (* (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) i) (* n 100)) (/.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 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(*.f64 #s(approx (* (+ (pow (+ 1 (/ i n)) n) -1) (/ n i)) (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i)) #s(literal 100 binary64))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 #s(approx (- (exp (* n (log (+ 1 (/ i n))))) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (*.f64 n #s(literal 100 binary64)))
(*.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 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 (/.f64 (*.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))))
Outputs
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
Calls

2 calls:

30.0ms
(*.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
94.4%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
94.4%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 32 to 18 computations (43.8% saved)

regimes97.0ms (0.7%)

Memory
19.7MiB live, 97.1MiB allocated
Counts
99 → 2
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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)))
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(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) n) (*.f64 i (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i))) (/.f64 i n)))
#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))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
#s(approx (* (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) i) (* n 100)) (/.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 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(*.f64 #s(approx (* (+ (pow (+ 1 (/ i n)) n) -1) (/ n i)) (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i)) #s(literal 100 binary64))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 #s(approx (- (exp (* n (log (+ 1 (/ i n))))) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (*.f64 n #s(literal 100 binary64)))
(*.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
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 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)
Calls

4 calls:

24.0ms
n
23.0ms
i
22.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
21.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
81.3%2i
80.2%3n
82.5%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
82.5%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes55.0ms (0.4%)

Memory
-12.0MiB live, 27.9MiB allocated
Counts
57 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) #s(approx (* n (/ (* 100 (- (exp i) 1)) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)))))))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 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))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
(*.f64 (/.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 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 (-.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 (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.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 (/.f64 n i) #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) #s(approx (* 100 (* (pow (+ (/ i n) 1) n) (/ n i))) (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (+.f64 (/.f64 n (neg.f64 i)) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 n i) #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) 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) -1) #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))) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #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 n #s(literal 100 binary64)))
(*.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 (neg.f64 n) i)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n))) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 n)))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* 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))) (*.f64 n n))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (fma.f64 i (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (*.f64 (fma.f64 i n n) (-.f64 (*.f64 i n) n)) (*.f64 i (-.f64 (*.f64 i n) 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)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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))) (*.f64 n #s(literal 100 binary64)))
(*.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(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) #s(approx (+ (* i (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n)))) 1) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n)))) (*.f64 n #s(literal 100 binary64)))
(*.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 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 i n)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.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 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 n #s(literal 100 binary64))))
#s(approx (* (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) i) (* n 100)) (fma.f64 (*.f64 i #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 n #s(literal 100 binary64))))
(*.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 (*.f64 i i) (*.f64 n (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 #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 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))) (*.f64 n n))) i)) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) i))) (/.f64 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) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 i (*.f64 i i)) (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 i i) i))) (/.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 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n (*.f64 n n) (*.f64 (*.f64 i n) (*.f64 i (*.f64 i (*.f64 n n))))) (*.f64 i (fma.f64 n (-.f64 n (*.f64 i n)) (*.f64 i (*.f64 i (*.f64 n n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) 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(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (fma.f64 i (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 (/.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))) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 n #s(approx (log (+ 1 (/ i n))) (/.f64 i n)))) i) (*.f64 n #s(literal 100 binary64)))
Outputs
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64)))
Calls

4 calls:

14.0ms
i
14.0ms
n
12.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
12.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
80.2%3n
75.9%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)))
75.9%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
75.9%1i
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes16.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
54 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) #s(approx (* n (/ (* 100 (- (exp i) 1)) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)))))))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 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))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
(*.f64 (/.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 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 (-.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 (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.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 (/.f64 n i) #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) #s(approx (* 100 (* (pow (+ (/ i n) 1) n) (/ n i))) (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (+.f64 (/.f64 n (neg.f64 i)) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 n i) #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) 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) -1) #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))) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #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 n #s(literal 100 binary64)))
(*.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 (neg.f64 n) i)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n))) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 n)))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* 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))) (*.f64 n n))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (fma.f64 i (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (*.f64 (fma.f64 i n n) (-.f64 (*.f64 i n) n)) (*.f64 i (-.f64 (*.f64 i n) 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)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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))) (*.f64 n #s(literal 100 binary64)))
(*.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(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) #s(approx (+ (* i (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n)))) 1) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n)))) (*.f64 n #s(literal 100 binary64)))
(*.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 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 i n)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.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 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 n #s(literal 100 binary64))))
#s(approx (* (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) i) (* n 100)) (fma.f64 (*.f64 i #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 n #s(literal 100 binary64))))
(*.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 (*.f64 i i) (*.f64 n (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 #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 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))) (*.f64 n n))) i)) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) i))) (/.f64 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) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 i (*.f64 i i)) (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 i i) i))) (/.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 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n (*.f64 n n) (*.f64 (*.f64 i n) (*.f64 i (*.f64 i (*.f64 n n))))) (*.f64 i (fma.f64 n (-.f64 n (*.f64 i n)) (*.f64 i (*.f64 i (*.f64 n n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) 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(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) (/.f64 n i)) #s(literal 100 binary64))
Outputs
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
Calls

1 calls:

14.0ms
n
Results
AccuracySegmentsBranch
80.1%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes50.0ms (0.3%)

Memory
-18.0MiB live, 25.4MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) #s(approx (* n (/ (* 100 (- (exp i) 1)) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)))))))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 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))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
(*.f64 (/.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 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 (-.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 (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.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 (/.f64 n i) #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) #s(approx (* 100 (* (pow (+ (/ i n) 1) n) (/ n i))) (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (+.f64 (/.f64 n (neg.f64 i)) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 n i) #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) 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) -1) #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))) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #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 n #s(literal 100 binary64)))
(*.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 (neg.f64 n) i)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n))) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 n)))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* 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))) (*.f64 n n))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (fma.f64 i (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (*.f64 (fma.f64 i n n) (-.f64 (*.f64 i n) n)) (*.f64 i (-.f64 (*.f64 i n) 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)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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))) (*.f64 n #s(literal 100 binary64)))
(*.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(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) #s(approx (+ (* i (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n)))) 1) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n)))) (*.f64 n #s(literal 100 binary64)))
(*.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 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 i n)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.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 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 n #s(literal 100 binary64))))
#s(approx (* (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) i) (* n 100)) (fma.f64 (*.f64 i #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 n #s(literal 100 binary64))))
(*.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 (*.f64 i i) (*.f64 n (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 #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 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))) (*.f64 n n))) i)) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) i))) (/.f64 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) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 i (*.f64 i i)) (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 i i) i))) (/.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 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n (*.f64 n n) (*.f64 (*.f64 i n) (*.f64 i (*.f64 i (*.f64 n n))))) (*.f64 i (fma.f64 n (-.f64 n (*.f64 i n)) (*.f64 i (*.f64 i (*.f64 n n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
Outputs
#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(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n))) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 n)))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
Calls

4 calls:

14.0ms
n
12.0ms
i
10.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
10.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
77.7%3i
68.9%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)))
68.9%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
77.6%4n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes48.0ms (0.3%)

Memory
-14.4MiB live, 25.2MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) #s(approx (* n (/ (* 100 (- (exp i) 1)) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)))))))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 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))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
(*.f64 (/.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 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 (-.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 (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.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 (/.f64 n i) #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) #s(approx (* 100 (* (pow (+ (/ i n) 1) n) (/ n i))) (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (+.f64 (/.f64 n (neg.f64 i)) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 n i) #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) 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) -1) #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))) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #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 n #s(literal 100 binary64)))
(*.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 (neg.f64 n) i)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n))) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 n)))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* 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))) (*.f64 n n))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (fma.f64 i (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (*.f64 (fma.f64 i n n) (-.f64 (*.f64 i n) n)) (*.f64 i (-.f64 (*.f64 i n) 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)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) 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))) (*.f64 n #s(literal 100 binary64)))
(*.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(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) #s(approx (+ (* i (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n)))) 1) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n)))) (*.f64 n #s(literal 100 binary64)))
(*.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 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 i n)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.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 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 n #s(literal 100 binary64))))
#s(approx (* (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) i) (* n 100)) (fma.f64 (*.f64 i #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 n #s(literal 100 binary64))))
(*.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 (*.f64 i i) (*.f64 n (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 #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 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))) (*.f64 n n))) i)) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) i))) (/.f64 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) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 i (*.f64 i i)) (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 i i) i))) (/.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 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n (*.f64 n n) (*.f64 (*.f64 i n) (*.f64 i (*.f64 i (*.f64 n n))))) (*.f64 i (fma.f64 n (-.f64 n (*.f64 i n)) (*.f64 i (*.f64 i (*.f64 n n)))))))))
Outputs
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #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 n #s(literal 100 binary64)))
Calls

4 calls:

12.0ms
i
12.0ms
n
11.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
10.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
56.4%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)))
56.4%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
64.2%3n
62.2%2i
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes9.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) #s(approx (* n (/ (* 100 (- (exp i) 1)) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)))))))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 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))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
(*.f64 (/.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 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 (-.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 (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.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 (/.f64 n i) #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) #s(approx (* 100 (* (pow (+ (/ i n) 1) n) (/ n i))) (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (+.f64 (/.f64 n (neg.f64 i)) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 i n n) i))))
(*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 n i) #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 (fma.f64 n i n) 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) -1) #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))) (/.f64 n i)) #s(literal 100 binary64))
Outputs
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
Calls

1 calls:

8.0ms
n
Results
AccuracySegmentsBranch
64.2%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) #s(approx (* n (/ (* 100 (- (exp i) 1)) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)))))))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i))
#s(approx (+ (* (/ (neg n) i) 100) (* 100 (* (pow (+ (/ i n) 1) n) (/ n i)))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
(*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 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))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))
Outputs
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) #s(approx (* n (/ (* 100 (- (exp i) 1)) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)))))))
Calls

2 calls:

4.0ms
n
4.0ms
i
Results
AccuracySegmentsBranch
61.2%2i
62.8%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
n
Results
AccuracySegmentsBranch
62.8%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
Outputs
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
Calls

2 calls:

2.0ms
n
2.0ms
i
Results
AccuracySegmentsBranch
58.1%2i
59.8%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
Outputs
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
Calls

4 calls:

2.0ms
n
2.0ms
i
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
47.4%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)))
47.4%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
57.2%3i
54.9%3n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes5.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
Outputs
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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
16.6%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
16.6%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
16.6%1n
16.6%1i
Compiler

Compiled 38 to 22 computations (42.1% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
4.8021805439766843e-262
3.1743380838853974e-212
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
4.8021805439766843e-262
3.1743380838853974e-212
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch22.0ms (0.2%)

Memory
-33.8MiB live, 5.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.1149510346162167e+97
4.80957590004066e+97
Samples
12.0ms66×1valid
2.0ms30×0valid
1.0ms18×0invalid
Compiler

Compiled 194 to 135 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-pow: 6.0ms (48.7% of total)
ival-div: 2.0ms (16.2% of total)
ival-add: 1.0ms (8.1% of total)
adjust: 1.0ms (8.1% of total)
ival-sub: 1.0ms (8.1% of total)
ival-mult: 1.0ms (8.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch74.0ms (0.5%)

Memory
21.1MiB live, 21.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
4.71790038194428e-194
4.147158006355676e-193
45.0ms
-8.64587948098835e-235
-6.069699600790088e-245
Samples
29.0ms96×2valid
11.0ms201×0invalid
10.0ms83×1valid
4.0ms77×0valid
Compiler

Compiled 308 to 207 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-pow: 17.0ms (40.9% of total)
ival-div: 9.0ms (21.7% of total)
adjust: 5.0ms (12% of total)
ival-add: 3.0ms (7.2% of total)
ival-sub: 3.0ms (7.2% of total)
ival-mult: 3.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
4.71790038194428e-194
4.147158006355676e-193
1.0ms
-8.64587948098835e-235
-6.069699600790088e-245
Compiler

Compiled 308 to 207 computations (32.8% saved)

bsearch106.0ms (0.7%)

Memory
-20.4MiB live, 18.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
50.0ms
7.859828769503397e-103
2.7226498760678004e-88
48.0ms
-5.939144283482326e-171
-1.3945324379281575e-172
Samples
49.0ms198×1valid
36.0ms73×2valid
1.0ms21×0invalid
1.0ms1×3valid
0.0ms3×1exit
Compiler

Compiled 717 to 457 computations (36.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-pow: 53.0ms (69% of total)
ival-div: 8.0ms (10.4% of total)
adjust: 7.0ms (9.1% of total)
ival-add: 3.0ms (3.9% of total)
ival-sub: 3.0ms (3.9% of total)
ival-mult: 3.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Memory
11.3MiB live, 11.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.71790038194428e-194
4.147158006355676e-193
40.0ms
-6.198574428930269e-119
-8.68531706665114e-124
Samples
16.0ms48×2valid
11.0ms72×1valid
4.0ms68×0invalid
1.0ms24×0valid
Compiler

Compiled 401 to 258 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-pow: 13.0ms (48.9% of total)
ival-div: 5.0ms (18.8% of total)
adjust: 3.0ms (11.3% of total)
ival-add: 2.0ms (7.5% of total)
ival-mult: 2.0ms (7.5% of total)
ival-sub: 2.0ms (7.5% 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
1.0MiB live, 1.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.71790038194428e-194
4.147158006355676e-193
1.0ms
-6.198574428930269e-119
-8.68531706665114e-124
Compiler

Compiled 365 to 240 computations (34.2% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
4.71790038194428e-194
4.147158006355676e-193
1.0ms
-6.198574428930269e-119
-8.68531706665114e-124
Compiler

Compiled 332 to 216 computations (34.9% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
4.71790038194428e-194
4.147158006355676e-193
1.0ms
-6.198574428930269e-119
-8.68531706665114e-124
Compiler

Compiled 320 to 210 computations (34.4% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
4.71790038194428e-194
4.147158006355676e-193
1.0ms
-6.198574428930269e-119
-8.68531706665114e-124
Compiler

Compiled 275 to 180 computations (34.5% saved)

bsearch57.0ms (0.4%)

Memory
11.5MiB live, 11.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.1149510346162167e+97
4.80957590004066e+97
40.0ms
-2829045969690.8696
-27097564457.534412
Samples
39.0ms140×1valid
3.0ms60×0invalid
3.0ms36×0valid
Compiler

Compiled 189 to 132 computations (30.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-pow: 25.0ms (65.1% of total)
ival-div: 5.0ms (13% of total)
adjust: 3.0ms (7.8% of total)
ival-add: 2.0ms (5.2% of total)
ival-sub: 2.0ms (5.2% of total)
ival-mult: 2.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify17.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Algorithm
1×egg-herbie
Rules
46×*-commutative_binary64
16×+-commutative_binary64
12×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01681123
11991122
22101122
32201122
42231122
52241122
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 8863311460481781/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152 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 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 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 8863311460481781/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152 binary64)) (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (*.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 +inf.0 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))))
(if (<=.f64 i #s(literal 23000000000000000553962544458845618822552731920602541277480215915996045297261203633327333596725248 binary64)) (*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 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 n #s(literal -5584586264102617/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296 binary64)) (*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64))) (if (<=.f64 n #s(literal 8424436404823567/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -5584586264102617/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296 binary64)) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (if (<=.f64 n #s(literal 8424436404823567/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))))
(if (<=.f64 i #s(literal -142769892469147/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)) (if (<=.f64 i #s(literal 3053105357605983/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)) (*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n))) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 n)))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))))
(if (<=.f64 n #s(literal -5814709794364855/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 8424436404823567/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #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 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -5814709794364855/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 8424436404823567/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))))
(if (<=.f64 n #s(literal -5814709794364855/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 8424436404823567/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) #s(approx (* n (/ (* 100 (- (exp i) 1)) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)))))))))
(if (<=.f64 n #s(literal -5814709794364855/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 8424436404823567/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))))
(if (<=.f64 n #s(literal -5814709794364855/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 8424436404823567/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))))
(if (<=.f64 i #s(literal -42000000000 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 i #s(literal 13499999999999999665277983899169890762876771037799689091399108033526373988401817302814316321308672 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) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 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 8863311460481781/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152 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 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 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 8863311460481781/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152 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 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 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 8863311460481781/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152 binary64)) (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (*.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 +inf.0 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 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 8863311460481781/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152 binary64)) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 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 +inf.0 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) (/.f64 (fma.f64 i (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)) i))))
(if (<=.f64 i #s(literal 23000000000000000553962544458845618822552731920602541277480215915996045297261203633327333596725248 binary64)) (*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 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 i #s(literal 23000000000000000553962544458845618822552731920602541277480215915996045297261203633327333596725248 binary64)) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i)) (*.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 n #s(literal -5584586264102617/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296 binary64)) (*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64))) (if (<=.f64 n #s(literal 8424436404823567/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -5584586264102617/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296 binary64)) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i)) (if (<=.f64 n #s(literal 8424436404823567/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) (expm1.f64 i)) i))))
(if (<=.f64 n #s(literal -5584586264102617/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296 binary64)) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (if (<=.f64 n #s(literal 8424436404823567/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))))
(if (<=.f64 i #s(literal -142769892469147/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)) (if (<=.f64 i #s(literal 3053105357605983/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)) (*.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n))) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 n)))) #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))))
(if (<=.f64 i #s(literal -142769892469147/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)) (if (<=.f64 i #s(literal 3053105357605983/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (fma.f64 i #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (+ 1/2 (/ -1/2 n))) (-.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) n))) #s(literal 1 binary64)))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i))))
(if (<=.f64 n #s(literal -5814709794364855/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 8424436404823567/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (*.f64 (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #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 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -5814709794364855/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 8424436404823567/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(approx (+ (pow (+ 1 (/ i n)) n) -1) #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))))
(if (<=.f64 n #s(literal -5814709794364855/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 8424436404823567/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))))
(if (<=.f64 n #s(literal -5814709794364855/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 8424436404823567/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) #s(approx (* n (/ (* 100 (- (exp i) 1)) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)))))))))
(if (<=.f64 n #s(literal -5814709794364855/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 8424436404823567/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))))
(if (<=.f64 n #s(literal -5814709794364855/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 8424436404823567/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) i) (* n 100)) (*.f64 n #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))))
(if (<=.f64 i #s(literal -42000000000 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 i #s(literal 13499999999999999665277983899169890762876771037799689091399108033526373988401817302814316321308672 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) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) (/ 1 n)) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))

soundness1.2s (8%)

Memory
-27.2MiB live, 54.3MiB allocated
Rules
12 338×lower-fma.f64
12 338×lower-fma.f32
11 236×lower-fma.f64
11 236×lower-fma.f32
11 188×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048306
084276
1367274
23207274
08480269
089011974
1286110983
0833910134
05153831
116243489
255233268
081372980
0104715112
1324913881
0870112812
098815901
1311914582
0865913440
01044
01644
17344
257044
3735444
0866938
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 677 to 739 computations (55.9% saved)

preprocess77.0ms (0.5%)

Memory
28.0MiB live, 66.9MiB allocated
Compiler

Compiled 1 070 to 280 computations (73.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...