Compound Interest

Time bar (total: 10.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze228.0ms (2.1%)

Memory
-15.6MiB live, 289.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
39.1%39%60.9%0.1%0%0%0%7
44.5%44.5%55.4%0.1%0%0%0%8
55.3%55%44.5%0.1%0%0.4%0%9
59.3%58.7%40.4%0.1%0%0.8%0%10
65.5%64.5%34%0.1%0%1.5%0%11
67.8%66.6%31.6%0.1%0%1.8%0%12
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample4.4s (41.1%)

Memory
-144.0MiB live, 4 062.8MiB allocated
Samples
2.3s4 487×1valid
830.0ms1 595×2valid
221.0ms2 114×0valid
215.0ms1 956×0invalid
52.0ms60×3valid
3.0ms23×1exit
Precisions
Click to see histograms. Total time spent on operations: 3.2s
ival-pow: 1.5s (46.8% of total)
ival-add: 777.0ms (24.6% of total)
ival-div: 409.0ms (13% of total)
adjust: 189.0ms (6% of total)
ival-sub: 177.0ms (5.6% of total)
ival-mult: 103.0ms (3.3% of total)
exact: 10.0ms (0.3% of total)
ival-true: 8.0ms (0.3% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

explain467.0ms (4.4%)

Memory
20.6MiB live, 627.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1800-0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
5877(-7.517583817857932e-199 -1.180864223138935e+108)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
420-2(6.220848690556896e-125 -7.873636265833525e+190)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
10-1(-2.803953127403011e-290 -6.895313184808672e-303)(*.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))cancellation1801
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1150
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u400
(/.f64 i n)underflow40
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue200
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow34
(/.f64 i n)overflow20
(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow20
Confusion
Predicted +Predicted -
+1880
-2840
Precision
0.8703703703703703
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18800
-28139
Precision?
0.8663594470046083
Recall?
1.0
Freqs
test
numberfreq
040
1117
259
340
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
182.0ms280×1valid
113.0ms140×2valid
9.0ms90×0valid
2.0ms3valid
Compiler

Compiled 131 to 34 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 245.0ms
ival-pow: 179.0ms (73.1% of total)
adjust: 28.0ms (11.4% of total)
ival-div: 19.0ms (7.8% of total)
ival-add: 6.0ms (2.4% of total)
ival-sub: 6.0ms (2.4% of total)
ival-mult: 6.0ms (2.4% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess168.0ms (1.6%)

Memory
0.9MiB live, 142.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02685
16985
217881
348081
4101077
5282177
6630877
01015
01615
12715
24315
37415
411715
528715
676015
7179315
8264515
9277115
10296115
11320115
12332915
13333715
14333715
15336115
16339715
17340115
18340115
19340115
20340115
0340114
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.6%
(*.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 15 to 10 computations (33.3% saved)

simplify152.0ms (1.4%)

Memory
17.3MiB live, 63.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
cost-diff0
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
cost-diff1
(*.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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01056
01656
12756
24356
37456
411756
528756
676056
7179356
8264556
9277156
10296156
11320156
12332956
13333756
14333756
15336156
16339756
17340156
18340156
19340156
20340156
0340155
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)
i
n
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
#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 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 n i))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #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

localize108.0ms (1%)

Memory
-8.2MiB live, 182.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.11871998993272953
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
accuracy9.601273993765803
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
accuracy13.73027545978435
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy42.072620396359675
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
Samples
49.0ms140×1valid
44.0ms70×2valid
4.0ms45×0valid
1.0ms3valid
Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-pow: 47.0ms (55.8% of total)
ival-sub: 14.0ms (16.6% of total)
adjust: 9.0ms (10.7% of total)
ival-div: 8.0ms (9.5% of total)
ival-add: 3.0ms (3.6% of total)
ival-mult: 3.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
-23.7MiB live, 30.6MiB allocated
Counts
4 → 89
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)))
(/.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
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
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))))))
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)))))))
(* 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)
(/ (* 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)
(- (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 (/ 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))))
(* 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 (- (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))
(- (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)
(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)))
(* 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)))))))))))
(/ (* (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 (+ (log i) (* -1 (log n))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
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(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
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(/ (* 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)))
(- (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)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(* -1 (* 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)))))
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(+ (exp i) (* -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)))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
n
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
5.0ms
n
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
4.0ms
i
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
3.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
2.0ms
i
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))

simplify225.0ms (2.1%)

Memory
3.7MiB live, 245.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05153779
118463384
083763118
Stop Event
iter limit
node limit
Counts
89 → 87
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))))))))))
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)))))))
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))))))
1
(+ 1 i)
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(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
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(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
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(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
(* -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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(* -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))
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(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
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(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))
(* 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)))))))
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
(/ (* 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)))
(- (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)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(* -1 (* 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)))))
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
Outputs
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))
(+ (* 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 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (*.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)))) i (*.f64 #s(literal 100 binary64) n))
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 i i) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)
1
#s(literal 1 binary64)
(+ 1 i)
(+.f64 #s(literal 1 binary64) i)
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(*.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n i)) #s(literal 100 binary64))
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/.f64 (*.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))) #s(literal 100 binary64)) 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 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n)) (*.f64 i i))) (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (pow.f64 n #s(literal 3 binary64)) i)))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))))) (*.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))) #s(literal 100 binary64))) i)
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
(*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n 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)
(/.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (pow.f64 n #s(literal 3 binary64)) 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)
(/.f64 (fma.f64 n (+.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n)) (*.f64 i i))) (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (pow.f64 n #s(literal 3 binary64)) 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)
(/.f64 (fma.f64 n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))))) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (pow.f64 n #s(literal 3 binary64)) i)))) i)
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
(expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 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 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (*.f64 n n) i) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)
(+.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (*.f64 n n) i) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n)) (*.f64 i i))) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)
(+.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))) (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (*.f64 n n) i))) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n)
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(fma.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
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(- (exp i) 1)
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(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(fma.f64 (*.f64 i (/.f64 (*.f64 (exp.f64 i) i) n)) #s(literal -1/2 binary64) (expm1.f64 i))
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(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)
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(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 (*.f64 i (/.f64 (*.f64 (exp.f64 i) i) n)) #s(literal -1/2 binary64) (exp.f64 i))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
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(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) (/.f64 (exp.f64 i) n) (fma.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) n)) (exp.f64 i)))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(*.f64 (neg.f64 n) (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
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(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (*.f64 #s(literal -100 binary64) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (exp.f64 i)) (*.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n)))) (neg.f64 n))) (neg.f64 n))))
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
(*.f64 (neg.f64 n) (fma.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 (exp.f64 i) n) (/.f64 (expm1.f64 i) (neg.f64 i))))
(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))
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(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))
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(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n))) n))

rewrite203.0ms (1.9%)

Memory
1.3MiB live, 183.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
01644
16444
241744
3466944
0850138
Stop Event
iter limit
node limit
iter limit
Counts
4 → 264
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)))
(/.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 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) (neg.f64 n))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (*.f64 (neg.f64 n) #s(literal 100 binary64)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 #s(literal 100 binary64) (/.f64 (neg.f64 i) n)))
(*.f64 (neg.f64 n) (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(*.f64 n (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)))
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (neg.f64 n)) (neg.f64 i))
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) (*.f64 n #s(literal 100 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) (*.f64 n #s(literal 100 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 n #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i)
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) #s(literal 100 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 i n) #s(literal -3 binary64))) #s(literal 100 binary64)) (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64)) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) i)
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64)))) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 i n) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 i n))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) #s(literal 100 binary64)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) #s(literal 100 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 (neg.f64 i) n))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)))
(neg.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 (neg.f64 i) n)))
(neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n))
(neg.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (neg.f64 i) n))))
(neg.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (neg.f64 i) n)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 (*.f64 (neg.f64 i) i) n)) (neg.f64 n))
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n)
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 n) n))
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 i i)) (*.f64 n n))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (/.f64 i n)) (/.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (neg.f64 n))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))))
(*.f64 (neg.f64 n) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(/.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (fabs.f64 (/.f64 i n))) (fabs.f64 (/.f64 i n)))
(/.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n))
(/.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (/.f64 i n))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) n) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) n) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) (neg.f64 i))
(/.f64 (*.f64 n (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n))))) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i))
(/.f64 (*.f64 n (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n))))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i))
(/.f64 (*.f64 n (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) (neg.f64 i))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64)))) (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 i n) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 n)) (neg.f64 i))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 i) n)) (*.f64 (/.f64 (neg.f64 i) n) #s(literal -1 binary64))) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) (/.f64 (neg.f64 i) n))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i)
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n))))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 i n) #s(literal -3 binary64))) (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n))))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 i n)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n))))) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 (neg.f64 i) n)))
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(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n))))) (*.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 i n)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n))))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 i) n)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n))))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n))))
(/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 (neg.f64 i) n)))
(/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
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(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 n #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 4 binary64)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 n #s(literal 4 binary64)) (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 n #s(literal 2 binary64)) (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64))) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (exp.f64 n) (log.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))))) (pow.f64 (exp.f64 n) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n))))))
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 i n) #s(literal 3 binary64))))) (pow.f64 (exp.f64 n) (log.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 i n) #s(literal 1 binary64))))))
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 (neg.f64 i) n))))
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 (fma.f64 (/.f64 i n) i i) n))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(neg.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(fma.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n)))) (cosh.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(sqrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(fabs.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 i n))) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 n)) (log1p.f64 (/.f64 i n))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 i n))) (/.f64 n #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 i n))) (/.f64 n #s(literal 2 binary64)))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 i n))) (/.f64 n #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (*.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)))) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)) (*.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(+.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))

eval45.0ms (0.4%)

Memory
48.3MiB live, 92.0MiB allocated
Compiler

Compiled 11 753 to 1 625 computations (86.2% saved)

prune30.0ms (0.3%)

Memory
-49.6MiB live, 52.8MiB allocated
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New32922351
Fresh000
Picked011
Done000
Total32923352
Accuracy
100.0%
Counts
352 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) #s(literal 100 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
64.0%
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) #s(literal 100 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)))
66.9%
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 n #s(literal 100 binary64))) i)
77.0%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
76.6%
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) #s(literal 100 binary64))
77.4%
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
23.8%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
28.6%
(*.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)))
15.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
16.9%
(*.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)))
39.2%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
39.4%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
12.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
62.4%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
51.1%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n))
53.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
53.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
76.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
12.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
53.0%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
76.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
12.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
48.7%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Compiler

Compiled 1 087 to 704 computations (35.2% saved)

simplify122.0ms (1.1%)

Memory
42.8MiB live, 233.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (log1p.f64 (/.f64 i n)) n)
cost-diff0
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff0
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i))
cost-diff0
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) #s(literal 100 binary64))
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 i n))
cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
cost-diff0
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
cost-diff0
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
cost-diff0
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
cost-diff2
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
cost-diff0
(*.f64 #s(literal 100 binary64) n)
cost-diff0
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
cost-diff0
(*.f64 (log1p.f64 (/.f64 i n)) n)
cost-diff0
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff0
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
cost-diff0
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041355
072343
1135339
2277339
3776339
42812339
08749335
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(/.f64 #s(literal 100 binary64) i)
#s(literal 100 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 n i)
n
i
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
i
(/.f64 i n)
n
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(/.f64 n i)
#s(literal 100 binary64)
Outputs
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(/.f64 #s(literal 100 binary64) i)
#s(literal 100 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n i) n)) #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n i) n))
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(fma.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n i) n)
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
(*.f64 n i)
n
i
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))
#s(literal 100 binary64)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))
(*.f64 (/.f64 n i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
i
(/.f64 i n)
n
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i))
(*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(/.f64 n i)
#s(literal 100 binary64)

localize255.0ms (2.4%)

Memory
-15.4MiB live, 231.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.10700123993272953
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) #s(literal 100 binary64))
accuracy4.862207174337383
(log1p.f64 (/.f64 i n))
accuracy9.519766882697292
(*.f64 (log1p.f64 (/.f64 i n)) n)
accuracy9.602375265365648
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i))
accuracy0.0
(expm1.f64 i)
accuracy0.10700123993272953
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
accuracy9.352965863751052
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))
accuracy15.621286248282553
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
accuracy0.10700123993272953
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
accuracy1.1290786739573941
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
accuracy8.183995403877136
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
accuracy25.91913434603794
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
accuracy0.0
(*.f64 #s(literal 100 binary64) n)
accuracy30.86392392663303
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
accuracy0.0859375
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
accuracy0.11328125
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
accuracy4.862207174337383
(log1p.f64 (/.f64 i n))
accuracy9.519766882697292
(*.f64 (log1p.f64 (/.f64 i n)) n)
Samples
137.0ms140×1valid
70.0ms70×2valid
13.0ms37×0valid
3.0ms5exit
2.0ms0invalid
Compiler

Compiled 329 to 38 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 188.0ms
ival-pow: 43.0ms (22.9% of total)
exact: 41.0ms (21.8% of total)
ival-mult: 29.0ms (15.4% of total)
ival-div: 21.0ms (11.2% of total)
adjust: 18.0ms (9.6% of total)
const: 9.0ms (4.8% of total)
ival-add: 9.0ms (4.8% of total)
ival-sub: 8.0ms (4.3% of total)
ival-expm1: 5.0ms (2.7% of total)
ival-log1p: 5.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
-15.3MiB live, 29.4MiB allocated
Counts
18 → 162
Calls
Call 1
Inputs
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) n)
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i))
(log1p.f64 (/.f64 i n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
Outputs
(* 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
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* -1/2 (/ i n))))
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))
(* n (- 1/2 (* 1/2 (/ 1 n))))
(+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))
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)))))))
(* i (+ 1 (* 1/2 i)))
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(/ i n)
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(* 100 (/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i))
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (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 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (+ (* 100 (/ (* (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 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(- (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)
(* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))
(+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))
(* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))
(* i (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)))
(/ (* 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)
(* (pow i 2) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))
(* (pow i 2) (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)))
(* (pow i 2) (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (+ (/ n (pow i 2)) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i))))
(- (exp i) 1)
(+ (log (/ 1 n)) (* -1 (log (/ 1 i))))
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (/ n i)))
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i))))
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (+ (* 1/3 (/ (pow n 3) (pow i 3))) (/ n i)))))
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
(* 100 (/ (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) i))
(* -1 (/ (+ (* -100 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -100 (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
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(* -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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(+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))
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(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 (pow n 2)) (* 1/3 (/ (pow n 3) 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 (+ (log i) (* -1 (log n)))) i))
(* n (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))
(* n (+ (* 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))))))))
(* n (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(* n (+ (log i) (* -1 (log n))))
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(* 1/3 (/ i n))
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(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (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))))
(* 1/3 (/ (pow i 2) n))
(/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) n)
(/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) n)
(+ (log i) (* -1 (log n)))
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(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))
(+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))
(/ 1/3 (pow n 2))
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(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
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(+ i (* -1/2 (/ (pow i 2) n)))
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(+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))
(* n (+ 1/2 (* 1/6 i)))
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(* -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)))))
(* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))
(* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))
(* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
n
@0
((* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ n i)) 100) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ n i)) (log (+ 1 (/ i n))) (/ 1/3 (* n n)))
5.0ms
i
@inf
((* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ n i)) 100) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ n i)) (log (+ 1 (/ i n))) (/ 1/3 (* n n)))
3.0ms
i
@-inf
((* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ n i)) 100) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ n i)) (log (+ 1 (/ i n))) (/ 1/3 (* n n)))
3.0ms
n
@-inf
((* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ n i)) 100) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ n i)) (log (+ 1 (/ i n))) (/ 1/3 (* n n)))
3.0ms
i
@0
((* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ n i)) 100) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ n i)) (log (+ 1 (/ i n))) (/ 1/3 (* n n)))

simplify182.0ms (1.7%)

Memory
32.1MiB live, 128.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08655457
131294987
084984619
Stop Event
iter limit
node limit
Counts
162 → 160
Calls
Call 1
Inputs
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(* 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 (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))
(/ (+ i (* -1/2 (/ (pow i 2) n))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) 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)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))
(* -1 (* n (- (* -1/6 i) 1/2)))
(* -1 (* n (- (+ (* -1 (/ (- (* -1/2 i) 1/2) n)) (* -1/6 i)) 1/2)))
(* -1 (* n (- (+ (* -1 (/ (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2) n)) (* -1/6 i)) 1/2)))
(* -1 (* n (+ (* -1 (/ (- (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)))))
(* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))
(* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))
(* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
Outputs
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 #s(literal 100 binary64) n))
100
#s(literal 100 binary64)
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))
(+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64))
(+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/2 binary64) n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64))) i #s(literal 100 binary64))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)
(* i (+ 1 (* -1/2 (/ i n))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i) i i)
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i) (/.f64 #s(literal 1/2 binary64) n)) i) i i)
(* n (- 1/2 (* 1/2 (/ 1 n))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(* i (+ 1 (* 1/2 i)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)
(/ i n)
(/.f64 i n)
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))
(*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) i (/.f64 #s(literal 1 binary64) n)) i)
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 3 binary64)))) i) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) i (/.f64 #s(literal 1 binary64) n)) i)
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 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 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) 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 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n)) (*.f64 i i))) (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))))) (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i)))) i)
(* 100 (/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i))
(*.f64 (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) i) #s(literal 100 binary64))
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) i) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))) i)
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (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 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) i) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n)) (*.f64 i i))) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))) i)
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (+ (* 100 (/ (* (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 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))))) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) i) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))))) i)
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
(expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)
(-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) i) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n)) #s(literal 1 binary64))
(- (+ (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)
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(* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))
(*.f64 (neg.f64 n) (fma.f64 (neg.f64 i) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) i) #s(literal 1 binary64))))
(* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))
(*.f64 (neg.f64 n) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) i (/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) (neg.f64 n))) #s(literal 1 binary64)))
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) (neg.f64 n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 1/3 binary64) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n) i)) (neg.f64 n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
(/.f64 (-.f64 (neg.f64 i) (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (neg.f64 n))) n)) (neg.f64 n))

rewrite216.0ms (2%)

Memory
-24.7MiB live, 169.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041267
072255
1254251
21734243
09101239
Stop Event
iter limit
node limit
iter limit
Counts
18 → 413
Calls
Call 1
Inputs
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) n)
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i))
(log1p.f64 (/.f64 i n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
Outputs
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i)) (neg.f64 n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 n i))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) (/.f64 #s(literal 100 binary64) i))
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n)
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(literal 1 binary64)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n)) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))) (/.f64 i n))
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))))
(/.f64 (neg.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (/.f64 i n))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n))) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (/.f64 i n))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) i)
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64)) (/.f64 i (neg.f64 n)))
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i)
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) i)
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 i (neg.f64 n)))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) i)
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 i (neg.f64 n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(*.f64 (/.f64 (/.f64 #s(literal 100 binary64) i) (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 1 binary64)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 100 binary64) i))) (neg.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 100 binary64) i))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))))) (neg.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal -100 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))))) (neg.f64 (*.f64 (neg.f64 i) (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))))) (neg.f64 (*.f64 (neg.f64 i) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal -100 binary64))) (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) (neg.f64 i))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) #s(literal -100 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) (neg.f64 i))))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))))) (neg.f64 (*.f64 i (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))))) (neg.f64 (*.f64 i (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal 100 binary64))) (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) i)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) #s(literal 100 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 100 binary64) i)) (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 100 binary64) i)) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))))
(/.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64))))) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal -100 binary64)) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 i))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) (*.f64 (neg.f64 i) (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64))))) (*.f64 (neg.f64 i) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) (*.f64 i (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64))))) (*.f64 i (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal -100 binary64)) (*.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) (neg.f64 i)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal 100 binary64)) (*.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) #s(literal -100 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) (neg.f64 i)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) #s(literal 100 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 i n)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 i n)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 i n) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 i n)) (pow.f64 (/.f64 i n) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (/.f64 i n) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 i n)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 i n) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 i n)) (pow.f64 (/.f64 i n) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 i n)) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) (/.f64 (/.f64 i n) (pow.f64 (/.f64 i n) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) (*.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) (/.f64 i n))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) (/.f64 i n))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) (/.f64 i n))))
(-.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64))) (/.f64 i n)) (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 i n)))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) (/.f64 i n)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) #s(literal -1 binary64)) (/.f64 i n)))
(-.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 i n)) (pow.f64 (/.f64 i n) #s(literal -1 binary64)))
(+.f64 (/.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) (/.f64 (-.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)) (/.f64 i n)))
(log1p.f64 (/.f64 i n))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64))) (log1p.f64 (*.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 n))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) n))) (neg.f64 (neg.f64 n)))
(/.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 n))) n)
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) n))) n)
(/.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) n)) n)
(/.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 n)) (neg.f64 n))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) n)) (neg.f64 n))
(/.f64 (/.f64 #s(literal 1/3 binary64) n) n)
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 n) n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 n n)))
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 n #s(literal 4 binary64))))
(fabs.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 n n)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))
(fabs.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))

eval107.0ms (1%)

Memory
-3.3MiB live, 86.7MiB allocated
Compiler

Compiled 29 661 to 3 015 computations (89.8% saved)

prune136.0ms (1.3%)

Memory
4.6MiB live, 52.2MiB allocated
Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New62523648
Fresh10717
Picked325
Done011
Total63833671
Accuracy
100.0%
Counts
671 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.0%
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) #s(literal 100 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)))
62.3%
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) (/.f64 i n))
76.5%
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
77.4%
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n)
77.0%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
62.0%
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
32.0%
(*.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64))))) (/.f64 #s(literal 100 binary64) i)) n)
77.4%
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
60.8%
(*.f64 (*.f64 (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
12.5%
(*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n i)) #s(literal 100 binary64))
12.5%
(*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
76.6%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)) n)
53.8%
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
12.5%
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))) n)
23.8%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
28.6%
(*.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)))
15.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
16.9%
(*.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)))
72.1%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
12.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
43.7%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
43.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
41.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
51.1%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n))
40.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
49.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
56.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
50.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
40.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
7.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
56.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
9.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
48.7%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Compiler

Compiled 1 911 to 1 265 computations (33.8% saved)

simplify134.0ms (1.3%)

Memory
-6.0MiB live, 46.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
cost-diff0
(*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))
cost-diff0
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64)))
cost-diff0
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))) n)
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)) n)
cost-diff0
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i)
cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
cost-diff0
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
cost-diff0
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)))
cost-diff0
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n))
cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
cost-diff0
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
cost-diff0
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
cost-diff0
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
cost-diff0
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff0
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
cost-diff0
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i)
cost-diff0
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064469
096451
1176445
2372445
31006445
43955445
08071439
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n)
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i)
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
#s(literal 100 binary64)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
i
#s(literal 1/2 binary64)
#s(literal 1 binary64)
n
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))
#s(literal 1/2 binary64)
i
#s(literal 1 binary64)
(/.f64 i n)
n
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
#s(literal 100 binary64)
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n)
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
i
n
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))) n)
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64)))
(*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
n
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
i
(log.f64 n)
#s(literal 100 binary64)
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n)
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i)
(*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
#s(literal 100 binary64)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))) #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
i
#s(literal 1/2 binary64)
#s(literal 1 binary64)
n
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))))
#s(literal 100 binary64)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n))
(*.f64 (/.f64 n i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))
#s(literal 1/2 binary64)
i
#s(literal 1 binary64)
(/.f64 i n)
n
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))
#s(literal 100 binary64)
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i)
(*.f64 (/.f64 n i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n)
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(expm1.f64 i)
i
n
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) n)
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
(*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n)))
n
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
i
(log.f64 n)
#s(literal 100 binary64)

localize204.0ms (1.9%)

Memory
33.4MiB live, 172.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
accuracy0.10546875
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
accuracy0.22597500992304254
(-.f64 (log.f64 i) (log.f64 n))
accuracy12.995145524509612
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64)))
accuracy0.01953125
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n)
accuracy0.0234375
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
accuracy2.371246895175409
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i)
accuracy8.377966152758342
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
accuracy0.0234375
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
accuracy2.951778920540927
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n))
accuracy4.553479129144814
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
accuracy8.377966152758342
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)))
accuracy0.06640625
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
accuracy1.193580247839063
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
accuracy6.605801611996405
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
accuracy10.341904014992803
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
accuracy0.02734375
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
accuracy0.0390625
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i)
accuracy2.1831073787953477
(log1p.f64 (/.f64 i n))
accuracy2.984641382916608
(*.f64 (log1p.f64 (/.f64 i n)) n)
Samples
94.0ms172×0invalid
50.0ms45×1valid
22.0ms20×2valid
7.0ms19×0valid
Compiler

Compiled 351 to 54 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-mult: 57.0ms (40.3% of total)
ival-div: 16.0ms (11.3% of total)
ival-pow: 15.0ms (10.6% of total)
ival-log1p: 14.0ms (9.9% of total)
ival-add: 9.0ms (6.4% of total)
adjust: 7.0ms (4.9% of total)
const: 7.0ms (4.9% of total)
ival-sub: 6.0ms (4.2% of total)
ival-log: 5.0ms (3.5% of total)
ival-expm1: 4.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series276.0ms (2.6%)

Memory
-27.6MiB live, 359.9MiB allocated
Counts
25 → 222
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n)
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i)
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n)
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))) n)
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64)))
(*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
(-.f64 (log.f64 i) (log.f64 n))
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
Outputs
(* 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
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))
(* 100 i)
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))
(* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
n
(+ 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 (* 1/2 (* i n)))
(+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))
(* i (+ 1 (* 1/2 i)))
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(* i n)
(* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(* i (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(* 100 (/ (* n (- (log i) (log n))) i))
(/ (* n (- (log i) (log n))) i)
(* i (+ 1 (* -1/2 (/ i n))))
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))
(/ i n)
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
1/2
(+ 1/2 (* 1/6 i))
(- (log i) (log n))
(/ (- (log i) (log n)) i)
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(* 100 (/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i))
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (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 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
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(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))
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(- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))
(/ (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) i)
Calls

6 calls:

TimeVariablePointExpression
124.0ms
i
@0
((* (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) n) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* 100 (/ (* (- (pow (+ 1 (/ i n)) n) 1) n) i)) (/ (* (- (pow (+ 1 (/ i n)) n) 1) n) i) (* (- (pow (+ 1 (/ i n)) n) 1) n) (- (pow (+ 1 (/ i n)) n) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (* (* n (/ (- (log i) (log n)) i)) 100) (* n (/ (- (log i) (log n)) i)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (* 1/6 i) 1/2) (- (log i) (log n)) (/ (- (log i) (log n)) i))
48.0ms
i
@-inf
((* (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) n) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* 100 (/ (* (- (pow (+ 1 (/ i n)) n) 1) n) i)) (/ (* (- (pow (+ 1 (/ i n)) n) 1) n) i) (* (- (pow (+ 1 (/ i n)) n) 1) n) (- (pow (+ 1 (/ i n)) n) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (* (* n (/ (- (log i) (log n)) i)) 100) (* n (/ (- (log i) (log n)) i)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (* 1/6 i) 1/2) (- (log i) (log n)) (/ (- (log i) (log n)) i))
31.0ms
n
@0
((* (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) n) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* 100 (/ (* (- (pow (+ 1 (/ i n)) n) 1) n) i)) (/ (* (- (pow (+ 1 (/ i n)) n) 1) n) i) (* (- (pow (+ 1 (/ i n)) n) 1) n) (- (pow (+ 1 (/ i n)) n) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (* (* n (/ (- (log i) (log n)) i)) 100) (* n (/ (- (log i) (log n)) i)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (* 1/6 i) 1/2) (- (log i) (log n)) (/ (- (log i) (log n)) i))
30.0ms
i
@inf
((* (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) n) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* 100 (/ (* (- (pow (+ 1 (/ i n)) n) 1) n) i)) (/ (* (- (pow (+ 1 (/ i n)) n) 1) n) i) (* (- (pow (+ 1 (/ i n)) n) 1) n) (- (pow (+ 1 (/ i n)) n) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (* (* n (/ (- (log i) (log n)) i)) 100) (* n (/ (- (log i) (log n)) i)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (* 1/6 i) 1/2) (- (log i) (log n)) (/ (- (log i) (log n)) i))
20.0ms
n
@inf
((* (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) n) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* 100 (/ (* (- (pow (+ 1 (/ i n)) n) 1) n) i)) (/ (* (- (pow (+ 1 (/ i n)) n) 1) n) i) (* (- (pow (+ 1 (/ i n)) n) 1) n) (- (pow (+ 1 (/ i n)) n) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (* (* n (/ (- (log i) (log n)) i)) 100) (* n (/ (- (log i) (log n)) i)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (* 1/6 i) 1/2) (- (log i) (log n)) (/ (- (log i) (log n)) i))

simplify241.0ms (2.3%)

Memory
8.1MiB live, 317.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09927465
136337375
085386815
Stop Event
iter limit
node limit
Counts
222 → 220
Calls
Call 1
Inputs
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100
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))
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i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
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n
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1/2
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(* 100 (/ (- (exp i) 1) i))
(+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))
(+ (* -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))))
(+ (* -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 (- (exp i) 1))
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)
(/ (* n (- (exp i) 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 (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))
(* n (- (exp i) 1))
(* n (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1))
(* 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)))) 1))
(* n (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1))
(* 100 (/ (* n (- (log i) (* -1 (log (/ 1 n))))) i))
(/ (* n (- (log i) (* -1 (log (/ 1 n))))) i)
(+ i (* -1/2 (/ (pow i 2) n)))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))
(/ (+ i (* -1/2 (/ (pow i 2) n))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)
(- (log i) (* -1 (log (/ 1 n))))
(/ (- (log i) (* -1 (log (/ 1 n)))) i)
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(* -1 (* n (+ (* -1 (/ (- (exp i) 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)))))
(* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))
(* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))
(* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))
(* -1 (* n (+ (* -1 (- (exp i) 1)) (* 1/2 (/ (* (pow i 2) (exp i)) n)))))
(* -1 (* n (+ (* -1 (- (exp i) 1)) (* -1 (/ (+ (* -1/2 (* (pow i 2) (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) n)))))
(* -1 (* n (+ (* -1 (- (exp i) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) n)))))
(* 100 (/ (* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i))
(/ (* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
(- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))
(/ (- (log i) (+ (log -1) (* -1 (log (/ -1 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 #s(literal 100 binary64) n))
100
#s(literal 100 binary64)
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))
(+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64))
(+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64))) i #s(literal 100 binary64))
(* 100 i)
(*.f64 #s(literal 100 binary64) i)
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i)
(* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64))) i #s(literal 100 binary64)) i)
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(+ n (* 1/2 (* i n)))
(fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n)
(+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))
(fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n)
(* i (+ 1 (* 1/2 i)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)
(* i n)
(*.f64 n i)
(* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) i)
(* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) i)
(* i (+ 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))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) i)
(* 100 (/ (* n (- (log i) (log n))) i))
(*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))
(/ (* n (- (log i) (log n))) i)
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
(* i (+ 1 (* -1/2 (/ i n))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(/ i n)
(/.f64 i n)
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))
(*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) i (/.f64 #s(literal 1 binary64) n)) i)
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 3 binary64)))) i) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) i (/.f64 #s(literal 1 binary64) n)) i)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 i))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
(- (log i) (log n))
(-.f64 (log.f64 i) (log.f64 n))
(/ (- (log i) (log n)) i)
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
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(* -1 (* n (+ (* -1 (- (exp i) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) n)))))
(*.f64 (neg.f64 n) (neg.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) (exp.f64 i) (/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64)))) (exp.f64 i) (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n))) (neg.f64 n))) n) (expm1.f64 i))))
(* 100 (/ (* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i))
(*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) i)) #s(literal 100 binary64))
(/ (* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)
(*.f64 n (/.f64 (-.f64 (log.f64 i) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) i))
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal -1/3 binary64) (*.f64 (*.f64 i i) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) i)
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))
(fma.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal -1/4 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (neg.f64 n))) n) #s(literal -1 binary64) i)
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) (neg.f64 n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 1/3 binary64) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n) i)) (neg.f64 n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (neg.f64 n))) n) i)) (neg.f64 n))
(- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))
(-.f64 (log.f64 i) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
(/ (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) i)
(/.f64 (-.f64 (log.f64 i) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) i)

rewrite146.0ms (1.4%)

Memory
2.6MiB live, 51.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064420
096396
1343390
22326384
08610378
Stop Event
iter limit
node limit
iter limit
Counts
25 → 262
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n)
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i)
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i)
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n)
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))) n)
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64)))
(*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
(-.f64 (log.f64 i) (log.f64 n))
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
Outputs
(*.f64 (*.f64 n (/.f64 #s(literal 100 binary64) i)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (*.f64 n (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 #s(literal 100 binary64) i))
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n))
(*.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n)
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 (/.f64 #s(literal 100 binary64) i) n))
(*.f64 n (*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n)) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 n (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n))) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) (neg.f64 i))
(/.f64 (*.f64 n (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n)) (neg.f64 i))
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64))
(*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 100 binary64) i))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 100 binary64) i))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))))) (neg.f64 (*.f64 (neg.f64 i) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))))) (neg.f64 (*.f64 (neg.f64 i) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal -100 binary64))) (neg.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (neg.f64 i))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) #s(literal -100 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 i))))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))))) (neg.f64 (*.f64 i (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))))) (neg.f64 (*.f64 i (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal 100 binary64))) (neg.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) #s(literal 100 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 100 binary64) i)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 100 binary64) i)) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(/.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64))))) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) (*.f64 (neg.f64 i) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64))))) (*.f64 (neg.f64 i) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) (*.f64 i (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64))))) (*.f64 i (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal -100 binary64)) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (neg.f64 i)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal 100 binary64)) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) #s(literal -100 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 i)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) #s(literal 100 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i)
(neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i))
(neg.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (neg.f64 i)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))))
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eval123.0ms (1.2%)

Memory
-7.2MiB live, 45.2MiB allocated
Compiler

Compiled 20 183 to 2 746 computations (86.4% saved)

prune32.0ms (0.3%)

Memory
34.3MiB live, 34.3MiB allocated
Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New46318481
Fresh101525
Picked325
Done123
Total47737514
Accuracy
100.0%
Counts
514 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.0%
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) #s(literal 100 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)))
41.4%
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
28.9%
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) i) n)
77.4%
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n)
77.0%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
48.6%
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
12.5%
(*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n i)) #s(literal 100 binary64))
76.6%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)) n)
61.9%
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i))
53.8%
(*.f64 #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
61.8%
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
16.8%
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (/.f64 i n))) n) (neg.f64 i)) #s(literal 100 binary64))) n)
16.8%
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n #s(literal 100 binary64)))) n)
16.8%
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) #s(literal 100 binary64))) n)
16.8%
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)) n)
28.6%
(*.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)))
15.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
16.9%
(*.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)))
51.7%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
43.7%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
43.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
41.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
50.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (* (- (pow (+ 1 (/ i n)) n) 1) n) (*.f64 n i)) i))
51.1%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n))
40.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
49.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
56.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
50.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
7.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
55.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
54.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
9.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
56.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n)))))
13.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) n)) (*.f64 i i))))))
22.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 #s(literal 1/6 binary64) n (/.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 (neg.f64 n) i)) (neg.f64 i))) (*.f64 i i))))))
14.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
48.7%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Compiler

Compiled 2 488 to 1 602 computations (35.6% saved)

simplify110.0ms (1%)

Memory
-17.0MiB live, 32.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)
cost-diff0
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n))
cost-diff0
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)) n)
cost-diff0
#s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))
cost-diff0
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)))
cost-diff0
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n))
cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
cost-diff0
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n)))
cost-diff0
(fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)
cost-diff0
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n))
cost-diff0
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
cost-diff0
(*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
cost-diff0
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
cost-diff0
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
cost-diff0
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
cost-diff0
(*.f64 (log1p.f64 (/.f64 i n)) n)
cost-diff0
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff0
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
cost-diff0
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065598
094584
1173570
2366570
31001570
43807570
08242552
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
(*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
(fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64))
#s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
i
#s(literal 1 binary64)
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n))
(fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 i n))
#s(literal 1/3 binary64)
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
i
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 i n)
n
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)) n)
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n))
(*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))
(/.f64 (log.f64 (/.f64 i n)) i)
(log.f64 (/.f64 i n))
(/.f64 i n)
i
n
#s(literal 100 binary64)
Outputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))) #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
(*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
(fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64))
#s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
i
#s(literal 1 binary64)
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (/.f64 #s(literal 1/3 binary64) n) i)) i n)) #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (/.f64 #s(literal 1/3 binary64) n) i)) i n))
(fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)
(fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (/.f64 #s(literal 1/3 binary64) n) i)) i n)
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n)))
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (/.f64 #s(literal 1/3 binary64) n) i))
(*.f64 #s(literal 1/3 binary64) (/.f64 i n))
(*.f64 (/.f64 #s(literal 1/3 binary64) n) i)
#s(literal 1/3 binary64)
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))))
#s(literal 100 binary64)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(*.f64 (/.f64 n i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
i
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 i n)
n
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (log.f64 (/.f64 i n)))) n)
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (log.f64 (/.f64 i n))))
(*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (log.f64 (/.f64 i n)))
(*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))
(*.f64 (log.f64 (/.f64 i n)) (/.f64 #s(literal 100 binary64) i))
(/.f64 (log.f64 (/.f64 i n)) i)
(log.f64 (/.f64 i n))
(/.f64 i n)
i
n
#s(literal 100 binary64)

localize186.0ms (1.7%)

Memory
17.1MiB live, 62.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.19140625
(/.f64 (log.f64 (/.f64 i n)) i)
accuracy0.37903107494058375
(*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)
accuracy10.503684473934273
(log.f64 (/.f64 i n))
accuracy25.597495635821737
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n))
accuracy0.125
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
accuracy5.513956289082812
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n))
accuracy13.193703058385047
#s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))
accuracy15.17023611129244
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)))
accuracy0.09137623993272953
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
accuracy0.13671875
(*.f64 #s(literal 1/3 binary64) (/.f64 i n))
accuracy22.8565690467339
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n))
accuracy25.24172437244443
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n)))
accuracy2.1552925474927243
(*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
accuracy12.995744678904039
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
accuracy19.85944709472617
#s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64))
accuracy22.8565690467339
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
accuracy0.0390625
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
accuracy0.0546875
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
accuracy4.846582174337383
(log1p.f64 (/.f64 i n))
accuracy5.630901771661948
(*.f64 (log1p.f64 (/.f64 i n)) n)
Samples
68.0ms89×1valid
45.0ms43×2valid
30.0ms93×0invalid
10.0ms31×0valid
Compiler

Compiled 382 to 48 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-mult: 34.0ms (28.2% of total)
ival-pow: 22.0ms (18.2% of total)
ival-div: 17.0ms (14.1% of total)
adjust: 13.0ms (10.8% of total)
ival-add: 9.0ms (7.5% of total)
const: 8.0ms (6.6% of total)
ival-sub: 5.0ms (4.1% of total)
ival-log1p: 4.0ms (3.3% of total)
ival-expm1: 4.0ms (3.3% of total)
ival-log: 4.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series124.0ms (1.2%)

Memory
3.7MiB live, 49.2MiB allocated
Counts
26 → 210
Calls
Call 1
Inputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
(*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n))
(fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)) n)
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n))
(*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))
(log1p.f64 (/.f64 i n))
#s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 i n))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
(log.f64 (/.f64 i n))
(/.f64 (log.f64 (/.f64 i n)) i)
Outputs
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
1
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* -1/2 (/ i n))))
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))
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 (* 1/2 (* i n)))
(+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))
(* n (- 1/2 (* 1/2 (/ 1 n))))
(+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))
(* i (+ 1 (* 1/2 i)))
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
100
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))
(* 100 (/ (* n (+ (log i) (log (/ 1 n)))) i))
(* 100 (/ (+ (log i) (log (/ 1 n))) i))
(/ i n)
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
1/2
(+ 1/2 (* 1/6 i))
(* 1/3 (/ i n))
(+ (log i) (log (/ 1 n)))
(/ (+ (log i) (log (/ 1 n))) i)
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i)
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) 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))) 1) 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)))) 1) i)
(- (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)
(* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))
(+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))
(/ (* 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)
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(+ (log (* -1 i)) (log (/ -1 n)))
(/ (+ (log (* -1 i)) (log (/ -1 n))) i)
Calls

6 calls:

TimeVariablePointExpression
51.0ms
i
@-inf
((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (* (* (/ (log (/ i n)) i) 100) n) (* (/ (log (/ i n)) i) 100) (log (+ 1 (/ i n))) (+ (* 1/6 i) 1/2) (* 1/3 (/ i n)) (+ (* 1/6 i) 1/2) (log (/ i n)) (/ (log (/ i n)) i))
18.0ms
i
@inf
((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (* (* (/ (log (/ i n)) i) 100) n) (* (/ (log (/ i n)) i) 100) (log (+ 1 (/ i n))) (+ (* 1/6 i) 1/2) (* 1/3 (/ i n)) (+ (* 1/6 i) 1/2) (log (/ i n)) (/ (log (/ i n)) i))
15.0ms
i
@0
((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (* (* (/ (log (/ i n)) i) 100) n) (* (/ (log (/ i n)) i) 100) (log (+ 1 (/ i n))) (+ (* 1/6 i) 1/2) (* 1/3 (/ i n)) (+ (* 1/6 i) 1/2) (log (/ i n)) (/ (log (/ i n)) i))
15.0ms
n
@-inf
((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (* (* (/ (log (/ i n)) i) 100) n) (* (/ (log (/ i n)) i) 100) (log (+ 1 (/ i n))) (+ (* 1/6 i) 1/2) (* 1/3 (/ i n)) (+ (* 1/6 i) 1/2) (log (/ i n)) (/ (log (/ i n)) i))
11.0ms
n
@0
((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (- (exp i) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (* (* (/ (log (/ i n)) i) 100) n) (* (/ (log (/ i n)) i) 100) (log (+ 1 (/ i n))) (+ (* 1/6 i) 1/2) (* 1/3 (/ i n)) (+ (* 1/6 i) 1/2) (log (/ i n)) (/ (log (/ i n)) i))

simplify165.0ms (1.6%)

Memory
5.1MiB live, 55.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09576690
134796610
081016129
Stop Event
iter limit
node limit
Counts
210 → 208
Calls
Call 1
Inputs
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1
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i
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1/2
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(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
(+ (log (* -1 i)) (log (/ -1 n)))
(/ (+ (log (* -1 i)) (log (/ -1 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 #s(literal 100 binary64) n))
1
#s(literal 1 binary64)
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))
(fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* 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 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* -1/2 (/ i n))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(+ n (* 1/2 (* i n)))
(fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n)
(+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n) i n)
(* n (- 1/2 (* 1/2 (/ 1 n))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(* i (+ 1 (* 1/2 i)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)
100
#s(literal 100 binary64)
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))
(+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64))
(+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64))) i #s(literal 100 binary64))
(* 100 (/ (* n (+ (log i) (log (/ 1 n)))) i))
(*.f64 (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)) #s(literal 100 binary64))
(* 100 (/ (+ (log i) (log (/ 1 n))) i))
(*.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i) #s(literal 100 binary64))
(/ i n)
(/.f64 i n)
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))
(*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) i (/.f64 #s(literal 1 binary64) n)) i)
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 3 binary64)))) i) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) i (/.f64 #s(literal 1 binary64) n)) i)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 i))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
(* 1/3 (/ i n))
(*.f64 #s(literal 1/3 binary64) (/.f64 i n))
(+ (log i) (log (/ 1 n)))
(fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i))
(/ (+ (log i) (log (/ 1 n))) i)
(/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i)))) 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 (expm1.f64 (*.f64 (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i)))) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) 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 (fma.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i)))) n)) (*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) 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 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i)))) n)) (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i)))))) i) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i))))) i)
(/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i)
(/.f64 (expm1.f64 (*.f64 (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i)))) n)) i)
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) i)
(/.f64 (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) i) (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)) 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))) 1) i)
(/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) (*.f64 n n)) i)) (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)) 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)))) 1) i)
(/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (fma.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) (*.f64 n n)) i))) (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)) i)
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
(expm1.f64 (*.f64 (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i)))) n))
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)
(-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) i) (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i)))))) #s(literal 1 binary64))
(- (+ (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 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) (*.f64 n n)) i)) (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i)))))) #s(literal 1 binary64))
(- (+ (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 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (fma.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i))))) (*.f64 n n)) i))) (pow.f64 (exp.f64 n) (neg.f64 (+.f64 (log.f64 n) (neg.f64 (log.f64 i)))))) #s(literal 1 binary64))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))
(fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 50 binary64) i) (exp.f64 i) (/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) i) (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal 100 binary64))) (neg.f64 n))) (neg.f64 n)))
(* 100 (/ (* n (+ (log (* -1 i)) (log (/ -1 n)))) i))
(*.f64 (*.f64 n (/.f64 (+.f64 (log.f64 (neg.f64 i)) (log.f64 (/.f64 #s(literal -1 binary64) n))) i)) #s(literal 100 binary64))
(* 100 (/ (+ (log (* -1 i)) (log (/ -1 n))) i))
(*.f64 (/.f64 (+.f64 (log.f64 (neg.f64 i)) (log.f64 (/.f64 #s(literal -1 binary64) n))) i) #s(literal 100 binary64))
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) (neg.f64 n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 1/3 binary64) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n) i)) (neg.f64 n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (neg.f64 n))) n) i)) (neg.f64 n))
(+ (log (* -1 i)) (log (/ -1 n)))
(+.f64 (log.f64 (neg.f64 i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(/ (+ (log (* -1 i)) (log (/ -1 n))) i)
(/.f64 (+.f64 (log.f64 (neg.f64 i)) (log.f64 (/.f64 #s(literal -1 binary64) n))) i)

rewrite140.0ms (1.3%)

Memory
6.1MiB live, 51.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065537
094523
1338509
22328495
08632477
Stop Event
iter limit
node limit
iter limit
Counts
26 → 242
Calls
Call 1
Inputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
(*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n))
(fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)
#s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)) n)
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n))
(*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))
(log1p.f64 (/.f64 i n))
#s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 i n))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
(log.f64 (/.f64 i n))
(/.f64 (log.f64 (/.f64 i n)) i)
Outputs
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))) (/.f64 i n))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 #s(literal 100 binary64) n))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n))) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64)) (/.f64 i (neg.f64 n)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 #s(literal 100 binary64) n)) (neg.f64 i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n)) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 i (neg.f64 n)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) i)
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) #s(literal 2 binary64)) (pow.f64 i #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (pow.f64 i #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) #s(literal 3 binary64)) (pow.f64 i #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (pow.f64 i #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 i #s(literal 1 binary64)))) (neg.f64 (*.f64 i i)))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 i)) (*.f64 (neg.f64 i) #s(literal -1 binary64))) (*.f64 i i))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i) (*.f64 (neg.f64 i) #s(literal 1 binary64))) (*.f64 (neg.f64 i) i))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (neg.f64 i)) (*.f64 i #s(literal -1 binary64))) (*.f64 i (neg.f64 i)))
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) #s(literal 2 binary64)) (pow.f64 i #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (pow.f64 i #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) #s(literal 3 binary64)) (pow.f64 i #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (pow.f64 i #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) (neg.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64))))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 i #s(literal 1 binary64))) (*.f64 i i))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i))
(neg.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (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)) n) #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(expm1.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (/.f64 n #s(literal 2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))))
(expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 n)) (log1p.f64 (/.f64 i n))))
(expm1.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64))) (/.f64 n #s(literal 2 binary64))))
(expm1.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 2 binary64)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (+.f64 (/.f64 n #s(literal 2 binary64)) (/.f64 n #s(literal 2 binary64)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(-.f64 (/.f64 (pow.f64 (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)) n) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 i n))))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (-.f64 (*.f64 (log.f64 i) i) (*.f64 i (log.f64 n))) (*.f64 i i))
(/.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 i n)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (log.f64 (/.f64 i n))) (neg.f64 i))
(/.f64 (log.f64 (/.f64 i n)) i)
(neg.f64 (/.f64 (neg.f64 (log.f64 (/.f64 i n))) i))
(neg.f64 (/.f64 (log.f64 (/.f64 i n)) (neg.f64 i)))
(-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))

eval57.0ms (0.5%)

Memory
-3.1MiB live, 42.5MiB allocated
Compiler

Compiled 20 508 to 2 507 computations (87.8% saved)

prune40.0ms (0.4%)

Memory
-7.4MiB live, 38.8MiB allocated
Pruning

40 alts after pruning (33 fresh and 7 done)

PrunedKeptTotal
New4388446
Fresh32528
Picked145
Done134
Total44340483
Accuracy
100.0%
Counts
483 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.0%
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) #s(literal 100 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)))
41.4%
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
28.8%
(*.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)))
56.5%
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) i) n)
28.9%
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) i) n)
77.4%
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n)
77.0%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
12.5%
(*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n)) i) (*.f64 n #s(literal 100 binary64)))
48.6%
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
12.5%
(*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n i)) #s(literal 100 binary64))
76.6%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)) n)
56.6%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) i)) n)
61.9%
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i))
53.8%
(*.f64 #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
61.8%
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
12.2%
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (log.f64 (pow.f64 (/.f64 i n) #s(literal 100 binary64))) n) i)) n)
16.8%
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 #s(literal 100 binary64) n)) i)) n)
16.8%
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) #s(literal 100 binary64))) n)
16.8%
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)) n)
16.7%
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (/.f64 #s(literal 100 binary64) i)) n)) n)
15.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
16.9%
(*.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)))
53.2%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) n) i))
51.7%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
43.7%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
41.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
50.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (* (- (pow (+ 1 (/ i n)) n) 1) n) (*.f64 n i)) i))
51.1%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n))
40.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
49.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
56.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
50.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
7.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
55.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
54.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
9.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
56.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n)))))
13.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) n)) (*.f64 i i))))))
14.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
48.7%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Compiler

Compiled 3 544 to 1 256 computations (64.6% saved)

regimes89.0ms (0.8%)

Memory
-21.7MiB live, 32.5MiB allocated
Counts
72 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (* (- (pow (+ 1 (/ i n)) n) 1) n) (*.f64 n i)) i))
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) n)) (*.f64 i i))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) n) i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) i)) n)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 #s(literal 1/6 binary64) n (/.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 (neg.f64 n) i)) (neg.f64 i))) (*.f64 i i))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)) n)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (/.f64 #s(literal 100 binary64) i)) n)) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) #s(literal 100 binary64))) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n #s(literal 100 binary64)))) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 #s(literal 100 binary64) n)) i)) n)
(*.f64 (*.f64 (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) 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 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (/.f64 i n))) n) (neg.f64 i)) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.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 (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))) n)
(*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (log.f64 (pow.f64 (/.f64 i n) #s(literal 100 binary64))) n) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n)
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 n #s(literal 100 binary64))) i)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n))
(*.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64))))) (/.f64 #s(literal 100 binary64) i)) n)
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) #s(literal 100 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) #s(literal 100 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)))
Outputs
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Calls

4 calls:

43.0ms
i
17.0ms
n
13.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
13.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
95.6%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
95.6%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
91.8%4i
93.2%3n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes54.0ms (0.5%)

Memory
29.0MiB live, 29.0MiB allocated
Counts
63 → 4
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (* (- (pow (+ 1 (/ i n)) n) 1) n) (*.f64 n i)) i))
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) n)) (*.f64 i i))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) n) i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) i)) n)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 #s(literal 1/6 binary64) n (/.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 (neg.f64 n) i)) (neg.f64 i))) (*.f64 i i))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)) n)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (/.f64 #s(literal 100 binary64) i)) n)) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) #s(literal 100 binary64))) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n #s(literal 100 binary64)))) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 #s(literal 100 binary64) n)) i)) n)
(*.f64 (*.f64 (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) 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 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (/.f64 i n))) n) (neg.f64 i)) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.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 (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))) n)
(*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (log.f64 (pow.f64 (/.f64 i n) #s(literal 100 binary64))) n) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) i) n)
(*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
Calls

4 calls:

14.0ms
n
14.0ms
i
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)))
11.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
79.7%2i
85.6%4n
80.5%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
80.5%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)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes17.0ms (0.2%)

Memory
-38.0MiB live, 9.5MiB allocated
Counts
58 → 4
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (* (- (pow (+ 1 (/ i n)) n) 1) n) (*.f64 n i)) i))
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) n)) (*.f64 i i))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) n) i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) i)) n)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 #s(literal 1/6 binary64) n (/.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 (neg.f64 n) i)) (neg.f64 i))) (*.f64 i i))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)) n)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (/.f64 #s(literal 100 binary64) i)) n)) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) #s(literal 100 binary64))) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n #s(literal 100 binary64)))) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 #s(literal 100 binary64) n)) i)) n)
(*.f64 (*.f64 (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) 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 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (/.f64 i n))) n) (neg.f64 i)) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.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 (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))) n)
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) i) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
Calls

1 calls:

14.0ms
n
Results
AccuracySegmentsBranch
85.6%4n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
57 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (* (- (pow (+ 1 (/ i n)) n) 1) n) (*.f64 n i)) i))
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) n)) (*.f64 i i))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) n) i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) i)) n)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 #s(literal 1/6 binary64) n (/.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 (neg.f64 n) i)) (neg.f64 i))) (*.f64 i i))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) i))
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)) n)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (log.f64 (/.f64 i n)) (/.f64 #s(literal 100 binary64) i)) n)) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) n)) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) #s(literal 100 binary64))) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n #s(literal 100 binary64)))) n)
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 #s(literal 100 binary64) n)) i)) n)
(*.f64 (*.f64 (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) 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 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (/.f64 i n))) n) (neg.f64 i)) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
Calls

1 calls:

13.0ms
n
Results
AccuracySegmentsBranch
83.5%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (* (- (pow (+ 1 (/ i n)) n) 1) n) (*.f64 n i)) i))
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) n)) (*.f64 i i))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) n) i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) i)) n)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 #s(literal 1/6 binary64) n (/.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 (neg.f64 n) i)) (neg.f64 i))) (*.f64 i i))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
Calls

1 calls:

8.0ms
n
Results
AccuracySegmentsBranch
83.4%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes31.0ms (0.3%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (* (- (pow (+ 1 (/ i n)) n) 1) n) (*.f64 n i)) i))
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) n)) (*.f64 i i))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) n) i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) i)) n)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 #s(literal 1/6 binary64) n (/.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 (neg.f64 n) i)) (neg.f64 i))) (*.f64 i i))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) i)) n)
Calls

4 calls:

8.0ms
n
8.0ms
i
6.0ms
(*.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)))
6.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
56.6%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
56.6%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)))
64.9%3i
66.5%3n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes6.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (* (- (pow (+ 1 (/ i n)) n) 1) n) (*.f64 n i)) i))
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (fma.f64 (/.f64 n i) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) n)) (*.f64 i i))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) n) i))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) 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(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
66.2%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.1%)

Memory
-38.4MiB live, 9.2MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (* (- (pow (+ 1 (/ i n)) n) 1) n) (*.f64 n i)) i))
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
Calls

4 calls:

4.0ms
n
3.0ms
i
3.0ms
(*.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)))
3.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
56.3%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
56.3%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
56.3%1i
56.3%1n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes9.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (* (- (pow (+ 1 (/ i n)) n) 1) n) (*.f64 n i)) i))
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
Calls

4 calls:

2.0ms
n
2.0ms
i
2.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
2.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
56.2%1i
56.2%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
56.2%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
56.2%1n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes8.0ms (0.1%)

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

4 calls:

2.0ms
n
2.0ms
i
2.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
2.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
55.9%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
55.9%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)))
55.9%1i
55.9%1n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes6.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64))))))
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 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
54.0%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
54.0%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
56.3%2i
54.0%1n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes5.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
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
54.0%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
54.0%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
54.0%1n
54.0%1i
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes4.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

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
48.7%1i
48.7%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
48.7%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
48.7%1n
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-0.0
1.2080128520267878e-229
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch133.0ms (1.3%)

Memory
-13.9MiB live, 33.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
36.0ms
7.762967966755374e-113
1.4747330743295e-108
40.0ms
-1.5552689020063103e-306
5.545192013190594e-297
46.0ms
-4.428648847070285e-186
-1.5720181013090425e-192
Samples
45.0ms135×2valid
26.0ms169×1valid
18.0ms317×0invalid
7.0ms125×0valid
2.0ms3valid
Compiler

Compiled 1 143 to 856 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-pow: 32.0ms (42.8% of total)
ival-div: 16.0ms (21.4% of total)
adjust: 9.0ms (12% of total)
ival-mult: 6.0ms (8% of total)
ival-add: 5.0ms (6.7% of total)
ival-sub: 5.0ms (6.7% of total)
ival-true: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.762967966755374e-113
1.4747330743295e-108
1.0ms
-1.5552689020063103e-306
5.545192013190594e-297
1.0ms
-4.428648847070285e-186
-1.5720181013090425e-192
Compiler

Compiled 1 215 to 910 computations (25.1% saved)

bsearch61.0ms (0.6%)

Memory
14.0MiB live, 14.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
7.762967966755374e-113
1.4747330743295e-108
37.0ms
-4.428648847070285e-186
-1.5720181013090425e-192
Samples
23.0ms65×2valid
14.0ms85×1valid
7.0ms116×0invalid
2.0ms26×0valid
Compiler

Compiled 697 to 524 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-pow: 18.0ms (49.9% of total)
ival-div: 7.0ms (19.4% of total)
adjust: 4.0ms (11.1% of total)
ival-mult: 3.0ms (8.3% of total)
ival-add: 2.0ms (5.5% of total)
ival-sub: 2.0ms (5.5% 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
1.3MiB live, 1.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.762967966755374e-113
1.4747330743295e-108
1.0ms
-4.428648847070285e-186
-1.5720181013090425e-192
Compiler

Compiled 715 to 542 computations (24.2% saved)

bsearch12.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.762967966755374e-113
1.4747330743295e-108
10.0ms
-4.428648847070285e-186
-1.5720181013090425e-192
Samples
4.0ms11×2valid
2.0ms14×1valid
1.0ms12×0invalid
0.0ms0valid
Compiler

Compiled 988 to 708 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-pow: 3.0ms (51.9% of total)
ival-div: 1.0ms (17.3% of total)
adjust: 1.0ms (17.3% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.762967966755374e-113
1.4747330743295e-108
1.0ms
-4.428648847070285e-186
-1.5720181013090425e-192
Compiler

Compiled 1 140 to 780 computations (31.6% saved)

bsearch33.0ms (0.3%)

Memory
-42.2MiB live, 6.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
4.371700821293492e+27
5.681910881295907e+29
Samples
24.0ms101×1valid
1.0ms17×0invalid
1.0ms11×0valid
Compiler

Compiled 592 to 379 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-pow: 10.0ms (46.1% of total)
ival-div: 6.0ms (27.7% of total)
adjust: 2.0ms (9.2% of total)
ival-add: 1.0ms (4.6% of total)
ival-sub: 1.0ms (4.6% of total)
ival-mult: 1.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify50.0ms (0.5%)

Memory
15.3MiB live, 15.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0150900
1211886
2357886
3935886
43310886
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (*.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 0 binary64)) (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) (if (<=.f64 (*.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 +inf.0 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) i) n) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))))
(if (<=.f64 n #s(literal -6742117549592031/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n))) (if (<=.f64 n #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) i) n) (if (<=.f64 n #s(literal 974766689339349/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 #s(literal 100 binary64) i)) n) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)))))
(if (<=.f64 n #s(literal -6742117549592031/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n))) (if (<=.f64 n #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) i) n) (if (<=.f64 n #s(literal 974766689339349/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) (*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))) n) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)))))
(if (<=.f64 n #s(literal -8427646936990039/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n))) (if (<=.f64 n #s(literal 6931674235302037/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))))
(if (<=.f64 n #s(literal -8427646936990039/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (if (<=.f64 n #s(literal 6931674235302037/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))))
(if (<=.f64 n #s(literal -2407899124854297/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n))) (if (<=.f64 n #s(literal 6931674235302037/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) i)) n)))
(if (<=.f64 n #s(literal -2407899124854297/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n))) (if (<=.f64 n #s(literal 6931674235302037/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(if (<=.f64 i #s(literal 4499999999999999922355044352 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64)))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
Outputs
(if (<=.f64 (*.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 0 binary64)) (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) (if (<=.f64 (*.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 +inf.0 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) i) n) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))))
(if (<=.f64 n #s(literal -6742117549592031/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n))) (if (<=.f64 n #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) i) n) (if (<=.f64 n #s(literal 974766689339349/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) (*.f64 (*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 #s(literal 100 binary64) i)) n) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)))))
(if (<=.f64 n #s(literal -6742117549592031/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n))) (if (<=.f64 n #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) i) n) (if (<=.f64 n #s(literal 974766689339349/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) (*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64))) n) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)))))
(if (<=.f64 n #s(literal -8427646936990039/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n))) (if (<=.f64 n #s(literal 6931674235302037/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))))
(if (<=.f64 n #s(literal -8427646936990039/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (if (<=.f64 n #s(literal 6931674235302037/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))))
(if (or (<=.f64 n #s(literal -8427646936990039/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816 binary64)) (not (<=.f64 n #s(literal 6931674235302037/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))))
(if (<=.f64 n #s(literal -2407899124854297/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n))) (if (<=.f64 n #s(literal 6931674235302037/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) i)) n)))
(if (<=.f64 n #s(literal -2407899124854297/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n))) (if (<=.f64 n #s(literal 6931674235302037/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))) i)) n)))
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(if (or (<=.f64 n #s(literal -2407899124854297/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) (not (<=.f64 n #s(literal 6931674235302037/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)))) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) 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(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(if (<=.f64 i #s(literal 4499999999999999922355044352 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 (*.f64 (*.f64 i i) n) #s(literal 1/6 binary64)))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))

derivations862.0ms (8.1%)

Memory
10.0MiB live, 10.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064420
096396
1343390
22326384
08610378
041267
072255
1254251
21734243
09101239
09927465
136337375
085386815
065537
094523
1338509
22328495
08632477
01044
01644
16444
241744
3466944
0850138
08655457
131294987
084984619
05153779
118463384
083763118
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 906 to 156 computations (82.8% saved)

preprocess143.0ms (1.3%)

Memory
4.5MiB live, 51.3MiB allocated
Compiler

Compiled 1 922 to 368 computations (80.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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